메뉴 건너뛰기




Volumn 9780199546909, Issue , 2010, Pages 1-292

Applied Shape Optimization for Fluids

Author keywords

Automatic differentiation; Level set; Microfluids; Shape optimization; Topological optimization

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; EVOLUTIONARY ALGORITHMS; NUMERICAL METHODS; POWERTRAINS; TOPOLOGY; TWO PHASE FLOW;

EID: 84919871630     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1093/acprof:oso/9780199546909.001.0001     Document Type: Book
Times cited : (233)

References (302)
  • 3
    • 84919876648 scopus 로고    scopus 로고
    • Consistent approximations and optimal shape design
    • Dicesaré, N. Pironneau, O. and Polak, E. (1998). Consistent approximations and optimal shape design, report LAN-UP6, 98001.
    • (1998) report LAN-UP6 , pp. 98001
    • Dicesaré, N.1    Pironneau, O.2    Polak, E.3
  • 6
    • 84919849962 scopus 로고    scopus 로고
    • On the Schwarz alternating method. I, II, III. Lectures on Domain decomposition Methods
    • Springer-Verlag, Berlin
    • Lions, P.-L.. (1998). On the Schwarz alternating method. I, II, III. Lectures on Domain decomposition Methods, Proc. Int. Symp. on DDM, Springer-Verlag, Berlin.
    • (1998) Proc. Int. Symp. on DDM
    • Lions, P.-L..1
  • 8
    • 0037249144 scopus 로고    scopus 로고
    • Approximate gradient for control problems
    • Pironneau, O. and Polak, E. (2002). Approximate gradient for control problems, SIAM J. Optim. Control, 41(2), 487-510.
    • (2002) SIAM J. Optim. Control , vol.41 , Issue.2 , pp. 487-510
    • Pironneau, O.1    Polak, E.2
  • 10
    • 0019609566 scopus 로고
    • An ALE finite element method for transient fluidstructure interactions
    • Donea, J. (1982). An ALE finite element method for transient fluidstructure interactions, Comp. Meth. App. Mech. Eng. 33, 689-723.
    • (1982) Comp. Meth. App. Mech. Eng. , vol.33 , pp. 689-723
    • Donea, J.1
  • 11
    • 84919846541 scopus 로고    scopus 로고
    • On the accuracy, stability and performance of the solution of three-dimensional nonlinear transient aeroelastic problems by partitioned procedures
    • Farhat, C. and Lesoinne, M. (1996). On the accuracy, stability and performance of the solution of three-dimensional nonlinear transient aeroelastic problems by partitioned procedures, American Institute of Aeronautics and Astronautics, 96-1388.
    • (1996) American Institute of Aeronautics and Astronautics , pp. 96-1388
    • Farhat, C.1    Lesoinne, M.2
  • 12
    • 33748155795 scopus 로고    scopus 로고
    • On the use of incomplete sensitivities for feedback control of laminar vortex shedding
    • Leclerc, E. Mohammadi, B. and Sagaut, P. (2007). On the use of incomplete sensitivities for feedback control of laminar vortex shedding, Comput. Fluids, 35(10), 14321443.
    • (2007) Comput. Fluids , vol.35 , Issue.10 , pp. 14321443
    • Leclerc, E.1    Mohammadi, B.2    Sagaut, P.3
  • 13
    • 0009725788 scopus 로고    scopus 로고
    • Prediction and aeroelastic simulation of turbulent flows in civil engineering applications
    • Athenes
    • Medic, G. Mohammadi, B. and Stanciu, M. (1998). Prediction and aeroelastic simulation of turbulent flows in civil engineering applications, Proc. Eccomas 98, Athenes.
    • (1998) Proc. Eccomas , vol.98
    • Medic, G.1    Mohammadi, B.2    Stanciu, M.3
  • 16
    • 0346781975 scopus 로고    scopus 로고
    • Dynamical approaches and incomplete gradients for shape optimization and flow control
    • Mohammadi, B. (1999). Dynamical approaches and incomplete gradients for shape optimization and flow control, American Institute of Aeronautics and Astronautics, 99-3374.
    • (1999) American Institute of Aeronautics and Astronautics , pp. 99-3374
    • Mohammadi, B.1
  • 18
    • 0028386305 scopus 로고
    • Godunoc type method on nonstructured meshes for three dimensional moving boundary-problems
    • Nkonga, B. and Guillard, H. (1994). Godunoc type method on nonstructured meshes for three dimensional moving boundary-problems, Comp. Meth. Appl. Mech. Eng. 113, 183-204.
    • (1994) Comp. Meth. Appl. Mech. Eng. , vol.113 , pp. 183-204
    • Nkonga, B.1    Guillard, H.2
  • 20
    • 0029310928 scopus 로고
    • Partitioned procedures for the transient solution of coupled aeroelastic problems
    • Piperno, S. Farhat, C. and Larrouturou, B. (1995). Partitioned procedures for the transient solution of coupled aeroelastic problems, Comp. Meth. Appl. Mech. Eng. 124, 97-101.
    • (1995) Comp. Meth. Appl. Mech. Eng. , vol.124 , pp. 97-101
    • Piperno, S.1    Farhat, C.2    Larrouturou, B.3
  • 21
    • 84882405919 scopus 로고    scopus 로고
    • Distributed optimization using virtual and real game strategies for aerodynamic design
    • Tang, Z. Desideri, J.-A. and Periaux, J. (2002). Distributed optimization using virtual and real game strategies for aerodynamic design, INRIA-RR, 4543.
    • (2002) INRIA-RR , pp. 4543
    • Tang, Z.1    Desideri, J.-A.2    Periaux, J.3
  • 22
    • 0036675534 scopus 로고    scopus 로고
    • Design and op timization of on-chip capillary electrophoresis
    • Brahadwaj, R. Mohammadi, B. and Santiago, J. (2002). Design and op timization of on-chip capillary electrophoresis, Electrophoresis J., 23(16), 27292744.
    • (2002) Electrophoresis J. , vol.23 , Issue.16 , pp. 27292744
    • Brahadwaj, R.1    Mohammadi, B.2    Santiago, J.3
  • 23
    • 0034512827 scopus 로고    scopus 로고
    • Recent developments in electrokinetically driven analysis of microfabricated devices
    • Bruin, G.J.M. (2000). Recent developments in electrokinetically driven analysis of microfabricated devices, Electrophoresis, 21(3), 3931-3951.
    • (2000) Electrophoresis , vol.21 , Issue.3 , pp. 3931-3951
    • Bruin, G.J.M.1
  • 24
    • 0032165060 scopus 로고    scopus 로고
    • Dispersion sources for compact geometries on microchips
    • Culbeston, C.T. Jacobson, S.C. and Ramsey, J.M.. (1998). Dispersion sources for compact geometries on microchips, Analytical Chemistry, 70, 3781-3789.
    • (1998) Analytical Chemistry , vol.70 , pp. 3781-3789
    • Culbeston, C.T.1    Jacobson, S.C.2    Ramsey, J.M.3
  • 28
    • 0004195833 scopus 로고    scopus 로고
    • Handbook Series for Mechanical Engineering, CRC Press, New York
    • Gad El Hak, M. (2002). The MEMS Handbook, Handbook Series for Mechanical Engineering, CRC Press, New York.
    • (2002) The MEMS Handbook
    • Gad El Hak, M.1
  • 29
    • 84919876274 scopus 로고    scopus 로고
    • Global optimization for the design of fast microfluidic protein folding devices
    • Ivorra, B. Hertzog, D. Mohammadi, B. and Santiago, J. (2006). Global optimization for the design of fast microfluidic protein folding devices, Int. J. Num. Meth. Eng. 26(6), 319333.
    • (2006) Int. J. Num. Meth. Eng. , vol.26 , Issue.6 , pp. 319333
    • Ivorra, B.1    Hertzog, D.2    Mohammadi, B.3    Santiago, J.4
  • 30
    • 2942635368 scopus 로고    scopus 로고
    • Instability of electrokinetic microchannel flows with conductivity gradients
    • Lin, H. Storey, B. Oddy, M. Chen, C.-H. and Santiago, J. (2004). Instability of electrokinetic microchannel flows with conductivity gradients, Phys. Fluids, 16(6), 1922-1935.
    • (2004) Phys. Fluids , vol.16 , Issue.6 , pp. 1922-1935
    • Lin, H.1    Storey, B.2    Oddy, M.3    Chen, C.-H.4    Santiago, J.5
  • 31
    • 0035588795 scopus 로고    scopus 로고
    • Simulation and design of extraction and separation fluidic devices
    • Mohammadi, B. and Santiago, J. (2001). Simulation and design of extraction and separation fluidic devices, M2AN, 35(3), 513523.
    • (2001) M2AN , vol.35 , Issue.3 , pp. 513523
    • Mohammadi, B.1    Santiago, J.2
  • 33
    • 21244435198 scopus 로고    scopus 로고
    • Multiple-species model for electrokinetic instability
    • Oddy, M.H. and Santiago, J. (2005). Multiple-species model for electrokinetic instability, Phys. Fluids, 17(1), 1922-1935.
    • (2005) Phys. Fluids , vol.17 , Issue.1 , pp. 1922-1935
    • Oddy, M.H.1    Santiago, J.2
  • 35
    • 24944498780 scopus 로고    scopus 로고
    • Instability of electrokinetic microchannel flows with conductivity gradients
    • Squires, T.M. and Quake, S. R. (2005). Instability of electrokinetic microchannel flows with conductivity gradients, Rev. Modern Physics, 77(3), 977-986.
    • (2005) Rev. Modern Physics , vol.77 , Issue.3 , pp. 977-986
    • Squires, T.M.1    Quake, S.R.2
  • 36
    • 26844483477 scopus 로고    scopus 로고
    • Simplifying numerical solution of constrained PDE systems through involutive completion
    • Tuomela, J. and Mohammadi, B. (2005). Simplifying numerical solution of constrained PDE systems through involutive completion, M2AN, 39(5), 909-929.
    • (2005) M2AN , vol.39 , Issue.5 , pp. 909-929
    • Tuomela, J.1    Mohammadi, B.2
  • 37
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact recovery from highly incomplete Fourier information
    • Candes, E. Romberg, J. Tao, T. (2006). Robust uncertainty principles: Exact recovery from highly incomplete Fourier information, IEEE Trans. Inform. Theory, 52(2), 489-509.
    • (2006) IEEE Trans. Inform. Theory , vol.52 , Issue.2 , pp. 489-509
    • Candes, E.1    Romberg, J.2    Tao, T.3
  • 38
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • Candes, E. Romberg, J. and Tao, T. (2006). Stable signal recovery from incomplete and inaccurate measurements. Comm. Pure Appl. Math, 59(8), 1207-1223.
    • (2006) Comm. Pure Appl. Math , vol.59 , Issue.8 , pp. 1207-1223
    • Candes, E.1    Romberg, J.2    Tao, T.3
  • 39
    • 84919849959 scopus 로고    scopus 로고
    • Incomplete sensitivities and BFGS methods for 3D aerodynamical shape design
    • Dadone, A. Mohammadi, B. and Petruzzelli, N. (1999). Incomplete sensitivities and BFGS methods for 3D aerodynamical shape design, INRIA 3633.
    • (1999) INRIA , pp. 3633
    • Dadone, A.1    Mohammadi, B.2    Petruzzelli, N.3
  • 40
    • 0004301379 scopus 로고
    • La différentiation automatique des fonctions représentées par des programmes
    • Gilbert, J.C. Le Vey, G. and Masse, J. (1991). La différentiation automatique des fonctions représentées par des programmes, INRIA report 1557.
    • (1991) INRIA report , pp. 1557
    • Gilbert, J.C.1    Le Vey, G.2    Masse, J.3
  • 41
    • 0026858844 scopus 로고
    • Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentiation
    • Griewank, A. (1995), Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentiation, Optim. Meth. Software, 1, 35-54.
    • (1995) Optim. Meth. Software , pp. 1+35-54
    • Griewank, A.1
  • 44
    • 0031194791 scopus 로고    scopus 로고
    • A new optimal shape design procedure for inviscid and viscous turbulent flows
    • Mohammadi, B. (1997). A new optimal shape design procedure for inviscid and viscous turbulent flows, Int. J. Num. Meth. Fluid, 25, 183-203.
    • (1997) Int. J. Num. Meth. Fluid , vol.25 , pp. 183-203
    • Mohammadi, B.1
  • 46
    • 0027837369 scopus 로고
    • Automatic differentiation in Odyssee
    • Rostaing, N. Dalmas, S. and Galligo, A. (1993). Automatic differentiation in Odyssee, Tellus, 45a(5), 558-568.
    • (1993) Tellus , vol.45 A , Issue.5 , pp. 558-568
    • Rostaing, N.1    Dalmas, S.2    Galligo, A.3
  • 47
    • 84911837213 scopus 로고
    • Communication in the presence of noise
    • Jan. 1949, Proc. IEEE
    • Shannon, C. E. (1949). Communication in the presence of noise, Proc. Institute of Radio Engineers, 37:1, 10-21, Jan. 1949. Proc. IEEE, 86(2), 1998.
    • (1949) Proc. Institute of Radio Engineers , vol.37 , Issue.2 , pp. 1+10-21+1998
    • Shannon, C.E.1
  • 49
    • 0030187531 scopus 로고    scopus 로고
    • A dynamical approach to convex minimization coupling approximation with the steepest descent method
    • Attouch, H. and Cominetti, R. (1996). A dynamical approach to convex minimization coupling approximation with the steepest descent method, J. Diff. Eq., 128(2), 519-540.
    • (1996) J. Diff. Eq. , vol.128 , Issue.2 , pp. 519-540
    • Attouch, H.1    Cominetti, R.2
  • 50
    • 0002564462 scopus 로고
    • A multiple shooting algorithm for direct solution of optimal control problems
    • Budapest
    • Bock, H.G. and Plitt, K.J. (1984). A multiple shooting algorithm for direct solution of optimal control problems, Proceedings of the 9th IFAC World Congress, Budapest.
    • (1984) Proceedings of the 9th IFAC World Congress
    • Bock, H.G.1    Plitt, K.J.2
  • 51
    • 0034407460 scopus 로고    scopus 로고
    • A computational fluid mechanics solution to the Monge-Kantarovich mass transfer problem
    • Brenier, Y. and Benamou, J.-D. (2000). A computational fluid mechanics solution to the Monge-Kantarovich mass transfer problem, Numerish Math. 84(3), 375-393.
    • (2000) Numerish Math. , vol.84 , Issue.3 , pp. 375-393
    • Brenier, Y.1    Benamou, J.-D.2
  • 52
    • 84919849957 scopus 로고    scopus 로고
    • Similitude généwralisée et modélisation géométrique à complexité réduite
    • Brun, J. and Mohammadi, B. (2007). Similitude généwralisée et modélisation géométrique à complexité réduite, CRAS, 2511, 634-638.
    • (2007) CRAS , vol.2511 , pp. 634-638
    • Brun, J.1    Mohammadi, B.2
  • 54
    • 30844460820 scopus 로고    scopus 로고
    • A variational model for urban planning with traffic congestion
    • Carlier, G. and Santambrogio, F. (2005). A variational model for urban planning with traffic congestion, ESAIM, COCV, 11, 595-613.
    • (2005) ESAIM, COCV , vol.11 , pp. 595-613
    • Carlier, G.1    Santambrogio, F.2
  • 56
    • 0031212567 scopus 로고    scopus 로고
    • A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems
    • Das, I. and Dennis J. E. (1997). A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems, Struct. Optim., 14(1), 63-69.
    • (1997) Struct. Optim. , vol.14 , Issue.1 , pp. 63-69
    • Das, I.1    Dennis, J.E.2
  • 57
    • 0032348480 scopus 로고    scopus 로고
    • Normal-boundary intersection: a new method for generating Pareto optimal points in multicriteria optimization problems
    • Das, I. and Dennis, J.E. (1998). Normal-boundary intersection: a new method for generating Pareto optimal points in multicriteria optimization problems, SIAM J. Optim, 8, 631657.
    • (1998) SIAM J. Optim , vol.8 , pp. 631657
    • Das, I.1    Dennis, J.E.2
  • 58
    • 0033185714 scopus 로고    scopus 로고
    • Multi-objective genetic algorithms: Problem difficulties and construction of test problems
    • Deb, K. (1999). Multi-objective genetic algorithms: Problem difficulties and construction of test problems, IEEE J. Evolut. Comp., 7, 205-230.
    • (1999) IEEE J. Evolut. Comp. , vol.7 , pp. 205-230
    • Deb, K.1
  • 60
    • 0038783139 scopus 로고    scopus 로고
    • Numerical solution of the twodimensional elliptic Monge-Ampère equation with Dirichlet boundary conditions: an augmented Lagrangian approach
    • Dean, E. and Glowinski, R. (2003). Numerical solution of the twodimensional elliptic Monge-Ampère equation with Dirichlet boundary conditions: an augmented Lagrangian approach, C. R. Acad. Sci. Paris, 336, 445-452.
    • (2003) C. R. Acad. Sci. Paris , vol.336 , pp. 445-452
    • Dean, E.1    Glowinski, R.2
  • 61
    • 0348146480 scopus 로고    scopus 로고
    • Hybrid method for aerodynamic shape optimization in automotive industry
    • Dumas, L. Herbert, V. and Muyl, F. (2004). Hybrid method for aerodynamic shape optimization in automotive industry. Comput. Fluids, 33(5), 849858.
    • (2004) Comput. Fluids , vol.33 , Issue.5 , pp. 849858
    • Dumas, L.1    Herbert, V.2    Muyl, F.3
  • 62
    • 0016353777 scopus 로고
    • Quad trees: a data structure for retrieval on composite keys
    • Finkel, R. and Bentley, J.L. (1974). Quad trees: a data structure for retrieval on composite keys. Acta Informatica, 4(1), 1-9.
    • (1974) Acta Informatica , vol.4 , Issue.1 , pp. 1-9
    • Finkel, R.1    Bentley, J.L.2
  • 64
    • 0002629429 scopus 로고
    • An overview of evolutionary algorithms in multi-objective optimization
    • Fonseca, C. and Fleming, J. (1995). An overview of evolutionary algorithms in multi-objective optimization. Evolut. Comput., 3(1), 1-16.
    • (1995) Evolut. Comput. , vol.3 , Issue.1 , pp. 1-16
    • Fonseca, C.1    Fleming, J.2
  • 69
    • 84919876274 scopus 로고    scopus 로고
    • Global optimization for the design of fast microfluidic protein folding devices
    • Ivorra, B. Hertzog, D. Mohammadi, B. and Santiago, J. (2006). Global optimization for the design of fast microfluidic protein folding devices, Int. J. Num. Meth. Eng 26(6), 319333.
    • (2006) Int. J. Num. Meth. Eng , vol.26 , Issue.6 , pp. 319333
    • Ivorra, B.1    Hertzog, D.2    Mohammadi, B.3    Santiago, J.4
  • 70
    • 85139376933 scopus 로고    scopus 로고
    • Semi-deterministic global optimization method and application to the control of Burgers equation
    • Ivorra, B. Mohammadi, B. and Ramos, A. (2007). Semi-deterministic global optimization method and application to the control of Burgers equation, JOTA, 135(1), 54956.
    • (2007) JOTA , vol.135 , Issue.1 , pp. 54956
    • Ivorra, B.1    Mohammadi, B.2    Ramos, A.3
  • 71
    • 59449094429 scopus 로고    scopus 로고
    • Optimization strategies in credit portfolio management
    • Ivorra, B. Mohammadi, B. and Ramos, A. (2008). Optimization strategies in credit portfolio management, J. of Global Optim., 43(2), 415-427.
    • (2008) J. of Global Optim , vol.43 , Issue.2 , pp. 415-427
    • Ivorra, B.1    Mohammadi, B.2    Ramos, A.3
  • 72
    • 33746864254 scopus 로고    scopus 로고
    • Semideterministic vs. genetic algorithms for global optimization of multichannel optical filters
    • Ivorra, B. Mohammadi, B. Redont, P. and Dumas, L. (2006). Semideterministic vs. genetic algorithms for global optimization of multichannel optical filters, Int. J. Comput. Sci. Eng., 2(3-4), 170188.
    • (2006) Int. J. Comput. Sci. Eng , vol.2 , Issue.3-4 , pp. 170188
    • Ivorra, B.1    Mohammadi, B.2    Redont, P.3    Dumas, L.4
  • 74
    • 0003946510 scopus 로고    scopus 로고
    • Springer Series in Statistics, 2nd edn., Springer, New York
    • Jolliffe, I.T. (2002). Principal Component Analysis, Springer Series in Statistics, 2nd edn., Springer, New York.
    • (2002) Principal Component Analysis
    • Jolliffe, I.T.1
  • 76
    • 84919849956 scopus 로고    scopus 로고
    • Multi-point wing design of a transport aircraft using a genetic algorithm
    • Kazuyuki, F. Fico, N. and de Mattos, B. (2006). Multi-point wing design of a transport aircraft using a genetic algorithm. AIAA, 2006-226.
    • (2006) AIAA , pp. 2006-2226
    • Kazuyuki, F.1    Fico, N.2    de Mattos, B.3
  • 80
    • 34250804357 scopus 로고    scopus 로고
    • Multidisciplinary design optimization of wing shape for a small jet aircraft using Kriging model
    • Kumano, T. Jeong, S. Obayashi, S. Ito, Y. Hatanaka, K. and Morino, H. (2006). Multidisciplinary design optimization of wing shape for a small jet aircraft using Kriging model. AAIA, 2006-932.
    • (2006) AAIA , pp. 2006-2932
    • Kumano, T.1    Jeong, S.2    Obayashi, S.3    Ito, Y.4    Hatanaka, K.5    Morino, H.6
  • 81
    • 77952641828 scopus 로고    scopus 로고
    • Multidisciplinary design optimization of wing shape with nacelle and pylon
    • P. Wesseling, E. Onate, J. Périaux (Eds)
    • Kumano, T. Jeong, S. Obayashi, S. Ito, Y. Hatanaka, K. and Morino, H. (2005). Multidisciplinary design optimization of wing shape with nacelle and pylon. Proc. Eccomas CFD-2006, P. Wesseling, E. Onate, J. Périaux (Eds).
    • (2005) Proc. Eccomas CFD-2006
    • Kumano, T.1    Jeong, S.2    Obayashi, S.3    Ito, Y.4    Hatanaka, K.5    Morino, H.6
  • 83
    • 13844310722 scopus 로고    scopus 로고
    • Numerical solution of the Monge-Ampere equation by a Newton's algorithm
    • Loeper, G. and Rapetti, F. (2005). Numerical solution of the Monge-Ampere equation by a Newton's algorithm, C. R. Acad. Sci. Paris, 340, 319-324.
    • (2005) C. R. Acad. Sci. Paris , vol.340 , pp. 319-324
    • Loeper, G.1    Rapetti, F.2
  • 85
    • 0033747329 scopus 로고    scopus 로고
    • Ability of objective functions to generate points on non-convex Pareto frontiers
    • Messac, A. Sundararaj, G. J. Tappeta, R. and Renaud, J. E. (2000). Ability of objective functions to generate points on non-convex Pareto frontiers. AIAA J., 38(6), 1084-1091.
    • (2000) AIAA J , vol.38 , Issue.6 , pp. 1084-1091
    • Messac, A.1    Sundararaj, G.J.2    Tappeta, R.3    Renaud, J.E.4
  • 86
    • 34247850900 scopus 로고    scopus 로고
    • Optimal transport, shape optimization and global minimization
    • Mohammadi, B. (2007). Optimal transport, shape optimization and global minimization, C. R. Acad. Sci. Paris, 3511, 591-596.
    • (2007) C. R. Acad. Sci. Paris , vol.3511 , pp. 591-596
    • Mohammadi, B.1
  • 88
    • 1642307281 scopus 로고    scopus 로고
    • Shape Optimization in Fluid Mechanics
    • Mohammadi, B. and Pironneau, O. (2004). Shape Optimization in Fluid Mechanics, Ann. Rev. Fluid Mech., 36(1), 29-53.
    • (2004) Ann. Rev. Fluid Mech , vol.36 , Issue.1 , pp. 29-53
    • Mohammadi, B.1    Pironneau, O.2
  • 89
    • 61649095142 scopus 로고    scopus 로고
    • Global optimization and generation of Pareto fronts
    • Mohammadi, B. and Redont, P. (2009). Global optimization and generation of Pareto fronts. CRAS, 347(5), 327-331.
    • (2009) CRAS , vol.347 , Issue.5 , pp. 327-331
    • Mohammadi, B.1    Redont, P.2
  • 91
    • 0003958368 scopus 로고
    • Societa Editrice Libraria, Milano, Italy. Translated into English by Schwier, A.S. 1971: Manual of Political Economy, Macmillan, New York
    • Pareto, V. (1906). Manuale di Economia Politica, Societa Editrice Libraria, Milano, Italy. Translated into English by Schwier, A.S. 1971: Manual of Political Economy, Macmillan, New York.
    • (1906) Manuale di Economia Politica
    • Pareto, V.1
  • 92
    • 84919849953 scopus 로고    scopus 로고
    • A fast and robust adaptive methodology for airfoil design under uncertainties based on game theory and self-organizing-pap theory
    • Pediroda, V. Poloni, and C. Clarich, A. (2006). A fast and robust adaptive methodology for airfoil design under uncertainties based on game theory and self-organizing-pap theory. AIAA, 2006-1472.
    • (2006) AIAA , pp. 2006-1472
    • Pediroda, V.P.1    Clarich, A.C.2
  • 93
    • 0001048297 scopus 로고
    • Quadrature and interpolation formulas for tensor products of certain classes of functions
    • Russian, Engl. Transl.: Soviet Math. Dokl. 4, 240243
    • Smolyak, SA. (1963). Quadrature and interpolation formulas for tensor products of certain classes of functions. Dokl. Akad. Nauk SSSR, 148, 10421043. Russian, Engl. Transl.: Soviet Math. Dokl. 4, 240243.
    • (1963) Dokl. Akad. Nauk SSSR , vol.148 , pp. 10421043
    • Smolyak, S.A.1
  • 95
    • 16444377896 scopus 로고
    • A survey of multicriteria optimization, or the vector maximum problem
    • Stadler, W. (1979). A survey of multicriteria optimization, or the vector maximum problem. JOTA, 29, 1776-1960.
    • (1979) JOTA , vol.29 , pp. 1776-1960
    • Stadler, W.1
  • 97
    • 15744406041 scopus 로고    scopus 로고
    • Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: Rigorous reduced-basis a posteriori error bounds
    • Veroy, K. and Patera, A. (2005). Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: Rigorous reduced-basis a posteriori error bounds Int. J. Numer. Meth. Fluids, 47(8), 773-788.
    • (2005) Int. J. Numer. Meth. Fluids , vol.47 , Issue.8 , pp. 773-788
    • Veroy, K.1    Patera, A.2
  • 99
    • 34250899194 scopus 로고    scopus 로고
    • On aerodynamic optimization under a range of operating conditions
    • Zingg, D. and Elias, S. (2006). On aerodynamic optimization under a range of operating conditions. AIAA, 2006-1053.
    • (2006) AIAA , pp. 2006-1053
    • Zingg, D.1    Elias, S.2
  • 100
    • 84954402567 scopus 로고    scopus 로고
    • Adaptive sonic boom sensitivity analysis
    • Springer, Berlin
    • Alauzet, F. (2006). Adaptive sonic boom sensitivity analysis, Proc. Eccomas-CFD06, Springer, Berlin.
    • (2006) Proc. Eccomas-CFD06
    • Alauzet, F.1
  • 101
    • 2942737783 scopus 로고    scopus 로고
    • Advanced algoritms for design and optimization of QSP
    • Alonso, J. Kroo, I. and Jameson, A. (2002). Advanced algoritms for design and optimization of QSP, AIAA, 02-0144.
    • (2002) AIAA , pp. 02-0144
    • Alonso, J.1    Kroo, I.2    Jameson, A.3
  • 102
    • 50549094011 scopus 로고    scopus 로고
    • Incomplete sensitivity for 3D radial turbomachine blade optimization
    • Derakhshan, S. Nourbakhsh, A. and Mohammadi, B. (2008). Incomplete sensitivity for 3D radial turbomachine blade optimization, Comput. Fluids, 37(10), 1354-1363.
    • (2008) Comput. Fluids , vol.37 , Issue.10 , pp. 1354-1363
    • Derakhshan, S.1    Nourbakhsh, A.2    Mohammadi, B.3
  • 103
    • 85086615377 scopus 로고    scopus 로고
    • A shape optimization methodology for reducing the sonic boom initial pressure rise
    • Farhat, C. Maute, K. Argrow, B. and Nikbay, M. (2002). A shape optimization methodology for reducing the sonic boom initial pressure rise, AIAA, 02-145.
    • (2002) AIAA , pp. 02-145
    • Farhat, C.1    Maute, K.2    Argrow, B.3    Nikbay, M.4
  • 105
    • 4444233160 scopus 로고    scopus 로고
    • Optimization of aerodynamic and acoustic performances of supersonic civil transports
    • Mohammadi, B. (2004). Optimization of aerodynamic and acoustic performances of supersonic civil transports, Internat. J. Num. Meth. Heat Fluid Flow, 14(7), 893-909.
    • (2004) Internat. J. Num. Meth. Heat Fluid Flow , vol.14 , Issue.7 , pp. 893-909
    • Mohammadi, B.1
  • 106
    • 0004070725 scopus 로고    scopus 로고
    • Practical applications to fluid flows of automatic differentiation for design problems
    • Mohammadi, B. (1997). Practical applications to fluid flows of automatic differentiation for design problems, VKI lecture series, 1997-05.
    • (1997) VKI lecture series , pp. 1997-1905
    • Mohammadi, B.1
  • 107
    • 0003235184 scopus 로고    scopus 로고
    • Optimal shape design, reverse mode of automatic differentiation and turbulence
    • Mohammadi, B. (1996). Optimal shape design, reverse mode of automatic differentiation and turbulence, American Institute of Aeronautics and Astronautics, 97-0099.
    • (1996) American Institute of Aeronautics and Astronautics , pp. 97-0099
    • Mohammadi, B.1
  • 108
    • 0037294525 scopus 로고    scopus 로고
    • Low complexity models to improve incomplete sensitivities for shape optimization
    • Stanciu, M. Mohammadi, B. and Moreau, S. (2003). Low complexity models to improve incomplete sensitivities for shape optimization, IJCFD, 17(1), 1-13.
    • (2003) IJCFD , vol.17 , Issue.1 , pp. 1-13
    • Stanciu, M.1    Mohammadi, B.2    Moreau, S.3
  • 110
    • 2942748978 scopus 로고
    • Extrapolation of sonic boom pressure signatures by the waveform parameter method
    • Thomas, Ch. (1972). Extrapolation of sonic boom pressure signatures by the waveform parameter method, NASA TN, D-6832.
    • (1972) NASA TN , pp. D-6832
    • Thomas, C.1
  • 111
    • 4243114222 scopus 로고    scopus 로고
    • Multilevel optimization of a supersonic aircraft
    • Vazquez, M. Koobus, B. and Dervieux, A. (2004). Multilevel optimization of a supersonic aircraft, Finite Elem. Anal. Design, 40(15), 2101-2124.
    • (2004) Finite Elem. Anal. Design , vol.40 , Issue.15 , pp. 2101-2124
    • Vazquez, M.1    Koobus, B.2    Dervieux, A.3
  • 112
    • 84980073009 scopus 로고
    • The flow pattern of a supersonic projectile
    • Whitham, G. B. (1952). The flow pattern of a supersonic projectile, Comm. Pure Appl. Math, 5(3), 301-348.
    • (1952) Comm. Pure Appl. Math , vol.5 , Issue.3 , pp. 301-348
    • Whitham, G.B.1
  • 113
    • 84919842868 scopus 로고
    • Effect of a metallized coating on the reflection of an electromagnetic wave
    • Achdou, Y. (1992). Effect of a metallized coating on the reflection of an electromagnetic wave. CRAS, 314(3), 1-8.
    • (1992) CRAS , vol.314 , Issue.3 , pp. 1-8
    • Achdou, Y.1
  • 117
    • 0001295889 scopus 로고
    • Optimal design for minimum weight and compliance in plane stress using extremal microstructures
    • Allaire, G. and Kohn, R.V. (1993), Optimal design for minimum weight and compliance in plane stress using extremal microstructures, Europ. J. Mech. A/Solids, 12(6), 839-878.
    • (1993) Europ. J. Mech. A/Solids , vol.12 , Issue.6 , pp. 839-878
    • Allaire, G.1    Kohn, R.V.2
  • 119
    • 0343165376 scopus 로고
    • Propagation des ondes electromagnetiques dans un milieu composite
    • Artola, M. and Cessenat, M. (1990). Propagation des ondes electromagnetiques dans un milieu composite, CRAS, 311(1), 77-82.
    • (1990) CRAS , vol.311 , Issue.1 , pp. 77-82
    • Artola, M.1    Cessenat, M.2
  • 121
    • 0024645995 scopus 로고
    • On the problems of riblets as a drag reduction device
    • Arumugam, G. and Pironneau, O. (1989). On the problems of riblets as a drag reduction device, Optimal Control Appl. Meth., 10, 332-354.
    • (1989) Optimal Control Appl. Meth. , vol.10 , pp. 332-354
    • Arumugam, G.1    Pironneau, O.2
  • 122
    • 84958730845 scopus 로고
    • ADIFOR : Generating derivative codes from fortran programs
    • Bischof, C. Carle, A. Corliss, G. Griewank, A. and Hovland, P. (1992) ADIFOR : Generating derivative codes from fortran programs, Sci. Program, 1(1), 11-29.
    • (1992) Sci. Program , vol.1 , Issue.1 , pp. 11-29
    • Bischof, C.1    Carle, A.2    Corliss, G.3    Griewank, A.4    Hovland, P.5
  • 127
    • 84919849949 scopus 로고
    • Exact-gradient shape optimization of a 2D Euler flow
    • Beux, F. and Dervieux, A. (1991). Exact-gradient shape optimization of a 2D Euler flow, INRIA report, 1540.
    • (1991) INRIA report, 1540
    • Beux, F.1    Dervieux, A.2
  • 128
    • 0037428358 scopus 로고    scopus 로고
    • Topological optimization in Stokes flow
    • Borrval, T. and Petersson, J. (2003). Topological optimization in Stokes flow. Int. J. Numer. Meth. Fluids, 41(1), 77-107.
    • (2003) Int. J. Numer. Meth. Fluids , vol.41 , Issue.1 , pp. 77-107
    • Borrval, T.1    Petersson, J.2
  • 130
    • 58149363688 scopus 로고
    • Dimensional shape optimization under capacitance constraint
    • Bucur, D. and Zolezio, J.P. (1995). Dimensional shape optimization under capacitance constraint, J. Diff. Eqs. 123(2), 504-522.
    • (1995) J. Diff. Eqs. , vol.123 , Issue.2 , pp. 504-522
    • Bucur, D.1    Zolezio, J.P.2
  • 132
    • 51249191365 scopus 로고
    • Some results on domain identification
    • Cea, J. Gioan, A. and Michel, J. (1973). Some results on domain identification, Calcolo, 3(4), 207-232.
    • (1973) Calcolo , vol.3 , Issue.4 , pp. 207-232
    • Cea, J.1    Gioan, A.2    Michel, J.3
  • 133
    • 0011806704 scopus 로고
    • Shape optimization in shell theory
    • Chenais, D. (1987). Shape optimization in shell theory, Eng. Opt. 11, 289-303.
    • (1987) Eng. Opt. , vol.11 , pp. 289-303
    • Chenais, D.1
  • 136
    • 0030168036 scopus 로고    scopus 로고
    • Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++
    • Griewank, A. Juedes, D. and Utke, J. (1996) Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++, j-TOMS, 22(2), 131-167.
    • (1996) j-TOMS , vol.22 , Issue.2 , pp. 131-167
    • Griewank, A.1    Juedes, D.2    Utke, J.3
  • 141
    • 84919849948 scopus 로고
    • An interior point technique for nonlinear optimization
    • Herskowitz, J. (1992). An interior point technique for nonlinear optimization, INRIA report, 1808.
    • (1992) INRIA report, 1808
    • Herskowitz, J.1
  • 142
    • 36249030515 scopus 로고    scopus 로고
    • Optimal shape design of coastal structures minimizing short waves impact
    • Isebe, D. Azerad, P. Bouchette, F. and Mohammadi, B. (2008). Optimal shape design of coastal structures minimizing short waves impact, Coastal Eng., 55(1), 35-46.
    • (2008) Coastal Eng. , vol.55 , Issue.1 , pp. 35-46
    • Isebe, D.1    Azerad, P.2    Bouchette, F.3    Mohammadi, B.4
  • 148
    • 0025464780 scopus 로고
    • Finite Element design sensitivity analysis for non linear potential problems
    • Mäkinen, R. (1990). Finite Element design sensitivity analysis for non linear potential problems, Comm. Appl. Numer. Meth. 6, 343-350.
    • (1990) Comm. Appl. Numer. Meth. , vol.6 , pp. 343-350
    • Mäkinen, R.1
  • 149
    • 0018008146 scopus 로고
    • Optimum design with Lagrangian finite element
    • Marrocco, A. and Pironneau, O. (1977). Optimum design with Lagrangian finite element, Comp. Meth. Appl. Mech . Eng. 15(3), 512545.
    • (1977) Comp. Meth. Appl. Mech . Eng. , vol.15 , Issue.3 , pp. 512545
    • Marrocco, A.1    Pironneau, O.2
  • 150
    • 0032866535 scopus 로고    scopus 로고
    • Contrôle d'instationnaritées en couplage fluidestructure
    • Mohammadi, B. (1999). Contrôle d'instationnaritées en couplage fluidestructure. Comptes rendus de l'Académie des Sciences, 327(1), 115-118.
    • (1999) Comptes rendus de l'Académie des Sciences , vol.327 , Issue.1 , pp. 115-118
    • Mohammadi, B.1
  • 152
    • 0001977081 scopus 로고    scopus 로고
    • On the control of coefficients in partial differential equations
    • A. Cherkaev and R. Kohn eds. Birkhauser, Boston
    • Murat, F. and Tartar, L. (1997). On the control of coefficients in partial differential equations. Topics in the Mathematical Modelling of Composite Materials, A. Cherkaev and R. Kohn eds. Birkhauser, Boston.
    • (1997) Topics in the Mathematical Modelling of Composite Materials
    • Murat, F.1    Tartar, L.2
  • 153
    • 0042790426 scopus 로고    scopus 로고
    • Synthetic jets influence on NACA 0012 airfoil at high angles of attack
    • Nae, C. (1998). Synthetic jets influence on NACA 0012 airfoil at high angles of attack, American Institute of Aeronautics and Astronautics, 98-4523.
    • (1998) American Institute of Aeronautics and Astronautics , pp. 98-4523
    • Nae, C.1
  • 154
    • 0011856571 scopus 로고
    • Computer aided optimal structural design
    • Neittaanmäki, P. (1991). Computer aided optimal structural design. Surv. Math. Ind. 1. 173-215.
    • (1991) Surv. Math. Ind. , vol.1 , pp. 173-215
    • Neittaanmäki, P.1
  • 155
    • 0026836255 scopus 로고
    • Solving some optimal control problems using the barrier penalty function method
    • Neittaanmäki, P. and Stachurski, A. (1992). Solving some optimal control problems using the barrier penalty function method, Appl. Math. Optim. 25, 127-149.
    • (1992) Appl. Math. Optim. , vol.25 , pp. 127-149
    • Neittaanmäki, P.1    Stachurski, A.2
  • 158
    • 0001502198 scopus 로고
    • On optimal shapes for Stokes flow
    • Pironneau, O. (1973). On optimal shapes for Stokes flow, J. Fluid Mech. 70(2), 331-340.
    • (1973) J. Fluid Mech. , vol.70 , Issue.2 , pp. 331-340
    • Pironneau, O.1
  • 162
    • 0027837369 scopus 로고
    • Automatic differentiation in Odyssee
    • Rostaing, N. Dalmas, S. and Galligo, A. (1993). Automatic differentiation in Odyssee, Tellus, 45a(5), 558-568.
    • (1993) Tellus , vol.45 A , Issue.5 , pp. 558-568
    • Rostaing, N.1    Dalmas, S.2    Galligo, A.3
  • 163
    • 0020806793 scopus 로고
    • Shape design sensitivity of a membrane
    • Rousselet, B. (1983). Shape design sensitivity of a membrane, J. Optim. Theory Appl. 40(4), 595-623.
    • (1983) J. Optim. Theory Appl. , vol.40 , Issue.4 , pp. 595-623
    • Rousselet, B.1
  • 165
    • 84919843795 scopus 로고
    • On existence of solution for a class of optimal shape design problems
    • Sverak, A. (1992). On existence of solution for a class of optimal shape design problems, CRAS, 992, 1-8.
    • (1992) CRAS , vol.992 , pp. 1-8
    • Sverak, A.1
  • 166
    • 0003739964 scopus 로고
    • Aerodynamic Design and optimization in one shot
    • Ta'asan, S. and Kuruvila, G. (1992). Aerodynamic Design and optimization in one shot, AIAA, 92-0025.
    • (1992) AIAA , pp. 92-0025
    • Ta'asan, S.1    Kuruvila, G.2
  • 168
    • 84919849945 scopus 로고
    • Optimization algorithms for optimum shape design problems
    • Thesis university of Paris 6
    • Vossinis, A. (1995). Optimization algorithms for optimum shape design problems, Thesis university of Paris 6.
    • (1995)
    • Vossinis, A.1
  • 169
    • 0038053170 scopus 로고    scopus 로고
    • A level-set method for shape optimization
    • Serie I
    • Allaire, G. Jouve, F. and Toader, AM. (2002). A level-set method for shape optimization. C. R. Acad. Sci. Paris, Serie I, 334, 1125-1130.
    • (2002) C. R. Acad. Sci. Paris , pp. 334+1125-1130
    • Allaire, G.1    Jouve, F.2    Toader, A.M.3
  • 171
    • 0033477425 scopus 로고    scopus 로고
    • A penalization method to take into account obstacles in viscous flows
    • Angot, P. Bruneau, CH. and Frabrie, P. (2001). A penalization method to take into account obstacles in viscous flows, Numerische Mathematik, 81, 497-520.
    • (2001) Numerische Mathematik , vol.81 , pp. 497-520
    • Angot, P.1    Bruneau, C.H.2    Frabrie, P.3
  • 172
    • 78249233613 scopus 로고    scopus 로고
    • An immersed boundary method for aeroacoustic problems
    • Arina, R. and Mohammadi, B. (2008). An immersed boundary method for aeroacoustic problems, AIAA, 08-3003.
    • (2008) AIAA , pp. 08-3003
    • Arina, R.1    Mohammadi, B.2
  • 173
    • 9644261240 scopus 로고
    • A finite element method for the simulation of Rayleigh-Taylor instability
    • Springer, Berlin
    • Dervieux, A. and Thomasset, F. (1979). A finite element method for the simulation of Rayleigh-Taylor instability, Lecture Notes in Mathematics, Springer, Berlin, 771, 145-159.
    • (1979) Lecture Notes in Mathematics , pp. 771+145-159
    • Dervieux, A.1    Thomasset, F.2
  • 174
    • 9644256444 scopus 로고
    • Multifuid incompressible fows by a finite element method
    • Springer, Berlin
    • Dervieux, A. and Thomasset, F. (1981). Multifuid incompressible fows by a finite element method, Lecture Notes in Physics, Springer, Berlin, 11, 158-163.
    • (1981) Lecture Notes in Physics , pp. 11+158-163
    • Dervieux, A.1    Thomasset, F.2
  • 175
    • 0019609566 scopus 로고
    • An ALE finite element method for transient fluidstructure interactions
    • Donea, J. (1982). An ALE finite element method for transient fluidstructure interactions, Comp. Meth. App. Mech. Eng., 33, 689-723.
    • (1982) Comp. Meth. App. Mech. Eng , vol.33 , pp. 689-723
    • Donea, J.1
  • 176
    • 84919846541 scopus 로고    scopus 로고
    • On the accuracy, stability and performance of the solution of three-dimensional nonlinear transient aeroelastic problems by partitioned procedures
    • Farhat, C. and Lesoinne, M. (1996). On the accuracy, stability and performance of the solution of three-dimensional nonlinear transient aeroelastic problems by partitioned procedures, American Institute of Aeronautics and Astronautics, 96-1388.
    • (1996) American Institute of Aeronautics and Astronautics , pp. 96-1388
    • Farhat, C.1    Lesoinne, M.2
  • 177
    • 0028035577 scopus 로고    scopus 로고
    • A fictitious domain method for external incompressible viscous flows modeled by Navier-Stokes equations
    • Glowinski, R. Pan, TW. and Periaux, J. (1998). A fictitious domain method for external incompressible viscous flows modeled by Navier-Stokes equations, Comput. Meth. Appl. Mech. Eng., 112, 133-148.
    • (1998) Comput. Meth. Appl. Mech. Eng , vol.112 , pp. 133-148
    • Glowinski, R.1    Pan, T.W.2    Periaux, J.3
  • 178
    • 0017995820 scopus 로고
    • Wing design by numerical optimization
    • Hicks, R. M. and Henne, P. A. (1978). Wing design by numerical optimization, J. Aircraft, 15, 407-412.
    • (1978) J. Aircraft , vol.15 , pp. 407-412
    • Hicks, R.M.1    Henne, P.A.2
  • 179
    • 0022789973 scopus 로고
    • A two-stage feasible directions algorithm for nonlinear constrained optimization
    • Herskovits, J.. (1986). A two-stage feasible directions algorithm for nonlinear constrained optimization, Math. Program., 36, 19-38.
    • (1986) Math. Program , vol.36 , pp. 19-38
    • Herskovits, J.1
  • 180
    • 0001251318 scopus 로고    scopus 로고
    • An immersed-boundary finite-volume method for simulations of flow in complex geometries
    • Kim, J. Kim, D. and Choi, H. (2005). An immersed-boundary finite-volume method for simulations of flow in complex geometries, J. Comput. Phys., 171, 132-150.
    • (2005) J. Comput. Phys , vol.171 , pp. 132-150
    • Kim, J.1    Kim, D.2    Choi, H.3
  • 181
    • 84919873713 scopus 로고    scopus 로고
    • Shape optimization for unsteady configurations
    • PhD thesis, Ecole Polytechnique
    • Laporte, E. (1999). Shape optimization for unsteady configurations, PhD thesis, Ecole Polytechnique.
    • (1999)
    • Laporte, E.1
  • 182
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • Leveque, RJ. Li, Z. (1995). The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, SIAM J. Num. Anal., 31, 1001-1025.
    • (1995) SIAM J. Num. Anal , vol.31 , pp. 1001-1025
    • Leveque, R.J.1    Li, Z.2
  • 183
    • 84919849947 scopus 로고
    • Optimum design with Lagrangian finite element
    • Marrocco, A. and Pironneau, O. (1987). Optimum design with Lagrangian finite element, Comp. Meth. Appl. Mech. Eng., 15(3), 512545.
    • (1987) Comp. Meth. Appl. Mech. Eng , vol.15 , Issue.3 , pp. 512545
    • Marrocco, A.1    Pironneau, O.2
  • 185
    • 34547577544 scopus 로고    scopus 로고
    • Global optimization, level set dynamics, incomplete sensitivity and regularity control
    • Mohammadi, B. (2007). Global optimization, level set dynamics, incomplete sensitivity and regularity control, IJCFD, 21(2), 61-68.
    • (2007) IJCFD , vol.21 , Issue.2 , pp. 61-68
    • Mohammadi, B.1
  • 186
    • 0028999642 scopus 로고
    • The scattering of sound from a spatially distributed axisymmetric cylindrical source by a circular cylinder
    • Morris, P.J. (1995). The scattering of sound from a spatially distributed axisymmetric cylindrical source by a circular cylinder, J. Acoust. Soc. Am., 97(5), 2651-2656.
    • (1995) J. Acoust. Soc. Am , vol.97 , Issue.5 , pp. 2651-2656
    • Morris, P.J.1
  • 187
    • 0028386305 scopus 로고
    • Godunoc type method on nonstructured meshes for three dimensional moving boundary problems
    • Nkonga, B. and Guillard, H. (1994). Godunoc type method on nonstructured meshes for three dimensional moving boundary problems, Comp. Meth. Appl. Mech. Eng., 113, 183-204.
    • (1994) Comp. Meth. Appl. Mech. Eng , vol.113 , pp. 183-204
    • Nkonga, B.1    Guillard, H.2
  • 188
    • 44749084234 scopus 로고
    • Fronts propagating with curvaturedependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher, S. and Sethian, J. (1988). Fronts propagating with curvaturedependent speed: Algorithms based on Hamilton-Jacobi formulations, J. Comp. Phys., 79(1), 12-49.
    • (1988) J. Comp. Phys , vol.79 , Issue.1 , pp. 12-49
    • Osher, S.1    Sethian, J.2
  • 189
    • 0019931907 scopus 로고    scopus 로고
    • The fluid dynamics of heart valves: experimental, theoretical and computational methods
    • Peskin, Ch. (1998). The fluid dynamics of heart valves: experimental, theoretical and computational methods, Ann. Rev. Fluid Mech., 14, 235-259.
    • (1998) Ann. Rev. Fluid Mech , vol.14 , pp. 235-259
    • Peskin, C.1
  • 190
    • 0029310928 scopus 로고
    • Partitioned procedures for the transient solution of coupled aeroelastic problems
    • Piperno, S. Farhat, C. and Larrouturou, B. (1995). Partitioned procedures for the transient solution of coupled aeroelastic problems, Comp. Meth. Appl. Mech. Eng., 124, 97-101.
    • (1995) Comp. Meth. Appl. Mech. Eng , vol.124 , pp. 97-101
    • Piperno, S.1    Farhat, C.2    Larrouturou, B.3
  • 192
    • 0036935440 scopus 로고    scopus 로고
    • Large eddy simulation of a road-vehicle with drag reduction devices
    • Verzicco, R. Fatica, M. Iaccarino, G. Moin, P. and Khalighi, B. (2001). Large eddy simulation of a road-vehicle with drag reduction devices, AIAA J 40, 2447-2455.
    • (2001) AIAA J , vol.40 , pp. 2447-2455
    • Verzicco, R.1    Fatica, M.2    Iaccarino, G.3    Moin, P.4    Khalighi, B.5
  • 193
    • 84952271062 scopus 로고
    • Simple Eulerian time-correlation of full and narrow-band velocity signals in grid-generated isotropic turbulence
    • Comte-Bellot, G. and Corsin, S. (1971). Simple Eulerian time-correlation of full and narrow-band velocity signals in grid-generated isotropic turbulence, J. Fluid Mech., 48, 273-337.
    • (1971) J. Fluid Mech. , vol.48 , pp. 273-337
    • Comte-Bellot, G.1    Corsin, S.2
  • 196
    • 0026933894 scopus 로고
    • Complex turbulent compressible flows computation with a two-layer approach
    • Mohammadi, B. (1992). Complex turbulent compressible flows computation with a two-layer approach, Int. J. Num. Meth. for Fluids, 15, 747-771.
    • (1992) Int. J. Num. Meth. for Fluids , vol.15 , pp. 747-771
    • Mohammadi, B.1
  • 197
    • 84894412652 scopus 로고    scopus 로고
    • Generalized wall functions for highspeed separated flows over adiabatic and isothermal walls
    • Mohammadi, B. and Puigt, G. (2000). Generalized wall functions for highspeed separated flows over adiabatic and isothermal walls, Int. J. Comp. Fluid Dynamics, 14, 20-41.
    • (2000) Int. J. Comp. Fluid Dynamics , vol.14 , pp. 20-41
    • Mohammadi, B.1    Puigt, G.2
  • 198
    • 33747849262 scopus 로고    scopus 로고
    • Wall functions in computational fluid mechanics
    • Mohammadi, B. and Puigt, G. (2006). Wall functions in computational fluid mechanics, Computers & Fluids, 35(10), 1108-1115.
    • (2006) Computers & Fluids , vol.35 , Issue.10 , pp. 1108-1115
    • Mohammadi, B.1    Puigt, G.2
  • 200
    • 49049151571 scopus 로고
    • Flux vector splitting for the inviscid gas dynamic with applications to finite-difference methods
    • Steger, J. and Warming, R.F. (1983). Flux vector splitting for the inviscid gas dynamic with applications to finite-difference methods, J. Comp. Phys 40, 263-293.
    • (1983) J. Comp. Phys , vol.40 , pp. 263-293
    • Steger, J.1    Warming, R.F.2
  • 201
    • 5844234716 scopus 로고
    • Analysis of two-equation turbulence models for recirculating flows
    • Thangam, S. (1991). Analysis of two-equation turbulence models for recirculating flows, ICASE report 91-61.
    • (1991) ICASE report , pp. 91-61
    • Thangam, S.1
  • 202
    • 0001231735 scopus 로고
    • Turbulent boundary layers in compressible fluids
    • Van Driest, E.R. (1951). Turbulent boundary layers in compressible fluids, J. Aeronaut. Sci., 18, 145-160.
    • (1951) J. Aeronaut. Sci. , vol.18 , pp. 145-160
    • Van Driest, E.R.1
  • 205
    • 84919849944 scopus 로고    scopus 로고
    • Cross-section optimisation for curved and twisted 3D beams via a mixed forward and backward optimisation algorithm
    • Nice
    • Aubert, P. (2000). Cross-section optimisation for curved and twisted 3D beams via a mixed forward and backward optimisation algorithm, Proc. AD 2000 SIAM conference, Nice.
    • (2000) Proc. AD 2000 SIAM conference
    • Aubert, P.1
  • 207
    • 0038391351 scopus 로고    scopus 로고
    • A formalism for the differentiation of conservation laws
    • Numerical Analysis
    • Bardos, C. and Pironneau, O. (2002). A formalism for the differentiation of conservation laws. C. R. Acad. Sci., Paris, Serie I. Numerical Analysis, 453, 839-845.
    • (2002) C. R. Acad. Sci., Paris, Serie I. , pp. 453+839-845
    • Bardos, C.1    Pironneau, O.2
  • 208
    • 0031126935 scopus 로고    scopus 로고
    • Mesh adaptation strategies for problems in fluid dynamics
    • Baker, T.J. (1997). Mesh adaptation strategies for problems in fluid dynamics, Finite Element Anal. Design, 25, 243273.
    • (1997) Finite Element Anal. Design , vol.25 , pp. 243273
    • Baker, T.J.1
  • 210
    • 0026833191 scopus 로고
    • Aerodynamic design optimization using sensitivity analysis and CFD
    • Baysal, O. and Eleshaky, M.E. (1992). Aerodynamic design optimization using sensitivity analysis and CFD, Amer. Inst. Aeronaut. Astronaut. J 30(3), 718-725.
    • (1992) Amer. Inst. Aeronaut. Astronaut. J , vol.30 , Issue.3 , pp. 718-725
    • Baysal, O.1    Eleshaky, M.E.2
  • 211
    • 85022001969 scopus 로고    scopus 로고
    • An optimal control approach to a posteriori error estimation in finite element methods
    • Becker, R. and Rannacher, R. (2001). An optimal control approach to a posteriori error estimation in finite element methods, Acta Numerica, 10, 50-102.
    • (2001) Acta Numerica , vol.10 , pp. 50-102
    • Becker, R.1    Rannacher, R.2
  • 212
    • 0005379467 scopus 로고    scopus 로고
    • Fadbad, a fexible C++ package for automatic differentiation using the forward and backward methods
    • IMM-REP-1996-17
    • Bendtsen, C. and Stauning, O. (1996). Fadbad, a fexible C++ package for automatic differentiation using the forward and backward methods, Technical Report IMM-REP-1996-17.
    • (1996) Technical Report
    • Bendtsen, C.1    Stauning, O.2
  • 213
    • 0037852148 scopus 로고    scopus 로고
    • Incomplete sensitivities and cost function reformulation leading to multicriteria investigation of inverse problems
    • Cabot, A. and Mohammadi, B. (2002). Incomplete sensitivities and cost function reformulation leading to multicriteria investigation of inverse problems Opt. Contr. and Meth 24(2), 73-84.
    • (2002) Opt. Contr. and Meth , vol.24 , Issue.2 , pp. 73-84
    • Cabot, A.1    Mohammadi, B.2
  • 214
    • 34250755996 scopus 로고    scopus 로고
    • Improving the efficiency of aerodynamic shape optimization on unstructured meshes
    • Carpentieri, G. Van Tooren, M. and Koren, B. (2006). Improving the efficiency of aerodynamic shape optimization on unstructured meshes. AIAA, 2006-298.
    • (2006) AIAA , pp. 2006-2298
    • Carpentieri, G.1    Van Tooren, M.2    Koren, B.3
  • 215
    • 35649025735 scopus 로고    scopus 로고
    • Development of the discrete adjoint for a 3D unstructured Euler solver
    • Carpentieri, G. Van Tooren, M. and Koren, B.(2007). Development of the discrete adjoint for a 3D unstructured Euler solver. AIAA, 2007-3954.
    • (2007) AIAA , pp. 2007-3954
    • Carpentieri, G.1    Van Tooren, M.2    Koren, B.3
  • 216
    • 0022696437 scopus 로고
    • Approximate Riemann solvers and numerical flux functions
    • Brenier, Y. Osher, S. (1986). Approximate Riemann solvers and numerical flux functions. SINUM, 23, 259-273.
    • (1986) SINUM , vol.23 , pp. 259-273
    • Brenier, Y.1    Osher, S.2
  • 217
    • 0000977352 scopus 로고
    • Hybrid Krylov methods for nonlinear systems of equations
    • Brown, P. and Saad, Y. (1990). Hybrid Krylov methods for nonlinear systems of equations, SIAM J. Sci. Stat. Comp. , 11(3), 450-481.
    • (1990) SIAM J. Sci. Stat. Comp , vol.11 , Issue.3 , pp. 450-481
    • Brown, P.1    Saad, Y.2
  • 218
    • 0242720588 scopus 로고    scopus 로고
    • Reverse automatic differentiation for optimum design: from adjoint state assembly to gradient computation
    • Courty, F. Dervieux, A. Koobus, B. and L. Hascoët. (2001). Reverse automatic differentiation for optimum design: from adjoint state assembly to gradient computation, Optim. Meth. Software, 18(5), 615-627.
    • (2001) Optim. Meth. Software , vol.18 , Issue.5 , pp. 615-627
    • Courty, F.1    Dervieux, A.2    Koobus, B.3    Hascoët, L.4
  • 219
    • 84900515390 scopus 로고    scopus 로고
    • Argonne theory institute: differentiation of computational approximations to functions
    • Eberhard, P. (1999). Argonne theory institute: differentiation of computational approximations to functions, SIAM News, 32(1), 148-149.
    • (1999) SIAM News , vol.32 , Issue.1 , pp. 148-149
    • Eberhard, P.1
  • 221
    • 0004301379 scopus 로고
    • La différentiation automatique de fonctions représentées par des programmes
    • Gilbert, J.C. Le Vey, G. and Masse, J. (1991). La différentiation automatique de fonctions représentées par des programmes, INRIA RR-1557.
    • (1991) INRIA RR-1557
    • Gilbert, J.C.1    Le Vey, G.2    Masse, J.3
  • 222
    • 11344279018 scopus 로고    scopus 로고
    • Computing the Future II: Advances and Prospects in Computational Aerodynamics, edited by M. Hafez and D. A. Caughey, John Wiley, New York
    • Giles, M. (1998). On Adjoint Equations for Error Analysis and Optimal Grid Adaptation in CFD, in Computing the Future II: Advances and Prospects in Computational Aerodynamics, edited by M. Hafez and D. A. Caughey, John Wiley, New York.
    • (1998) On Adjoint Equations for Error Analysis and Optimal Grid Adaptation in CFD
    • Giles, M.1
  • 223
    • 84983200859 scopus 로고    scopus 로고
    • Adjoint equations in CFD: duality, boundary conditions and solution behaviour
    • Giles, M. and Pierce, N. (1997). Adjoint equations in CFD: duality, boundary conditions and solution behaviour, American Institute of Aeronautics and Astronautics 97-1850.
    • (1997) American Institute of Aeronautics and Astronautics , pp. 97-1850
    • Giles, M.1    Pierce, N.2
  • 224
    • 0035835275 scopus 로고    scopus 로고
    • Analytic adjoint solutions for the quasione-dimensional euler equations
    • Giles, M. and Pierce, N. (2001). Analytic adjoint solutions for the quasione-dimensional euler equations. J. Fluid Mech. , 426, 327-345.
    • (2001) J. Fluid Mech , vol.426 , pp. 327-345
    • Giles, M.1    Pierce, N.2
  • 227
    • 0030168036 scopus 로고    scopus 로고
    • Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++
    • Griewank, A. Juedes, D. and Utke, J. (1996). Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++, JTOMS, 22(2), 131-167.
    • (1996) JTOMS , vol.22 , Issue.2 , pp. 131-167
    • Griewank, A.1    Juedes, D.2    Utke, J.3
  • 228
    • 0000163110 scopus 로고    scopus 로고
    • Solution to the time-harmonic Maxwell's equations in a waveguide: use of higher-order derivatives for solving the discrete problem
    • Guillaume, Ph. and Masmoudi, M. (1997). Solution to the time-harmonic Maxwell's equations in a waveguide: use of higher-order derivatives for solving the discrete problem, SIAM J. Numer. Anal. , 34(4), 1306-1330.
    • (1997) SIAM J. Numer. Anal , vol.34 , Issue.4 , pp. 1306-1330
    • Guillaume, P.1    Masmoudi, M.2
  • 230
    • 0000414660 scopus 로고
    • Large sample properties of generalized method of moments estimators
    • Hansen, L.P. (1982). Large sample properties of generalized method of moments estimators, Econometrica, 50, 1029-1054.
    • (1982) Econometrica , vol.50 , pp. 1029-1054
    • Hansen, L.P.1
  • 231
    • 0003743762 scopus 로고
    • Optimum aerodynamic design via boundary control
    • Von Karman Institute Courses
    • Jameson, A. (1994). Optimum aerodynamic design via boundary control, AGARD Report 803, Von Karman Institute Courses.
    • (1994) AGARD Report , pp. 803
    • Jameson, A.1
  • 235
    • 0001733359 scopus 로고
    • The stability of multi-dimensional shock fronts
    • American Math. Soc. Providence
    • Majda, A. (1983). The stability of multi-dimensional shock fronts. Memoire of the A.M.S. 281, American Math. Soc. Providence.
    • (1983) Memoire of the A.M.S , pp. 281
    • Majda, A.1
  • 236
    • 84919849940 scopus 로고    scopus 로고
    • Combining automatic derivatives and handcoded derivatives in sensitivity analysis for shape optimization problems
    • Buffalo, NY
    • Makinen, R. (1999). Combining automatic derivatives and handcoded derivatives in sensitivity analysis for shape optimization problems. Proc. WCSMO 3, Buffalo, NY.
    • (1999) Proc. WCSMO 3
    • Makinen, R.1
  • 237
    • 38049135903 scopus 로고    scopus 로고
    • A discrete adjoint-based approach for optimization problems on three-dimensional unstructured meshes
    • Mavriplis, D. (2006). A discrete adjoint-based approach for optimization problems on three-dimensional unstructured meshes. AIAA, 2006-50.
    • (2006) AIAA , pp. 2006-2050
    • Mavriplis, D.1
  • 238
    • 0003235184 scopus 로고    scopus 로고
    • Optimal shape design, reverse mode of automatic differentiation and turbulence
    • Mohammadi, B. (1996). Optimal shape design, reverse mode of automatic differentiation and turbulence, AIAA, 97-0099.
    • (1996) AIAA , pp. 97-0099
    • Mohammadi, B.1
  • 239
    • 6044230508 scopus 로고    scopus 로고
    • Différentiation automatique par programme et optimisation de formes aérodynamiques
    • Mohammadi, B. (1996). Différentiation automatique par programme et optimisation de formes aérodynamiques, Matapli 07-96, 30-35.
    • (1996) Matapli , pp. 07-96+30
    • Mohammadi, B.1
  • 240
    • 0004143322 scopus 로고
    • Automatic differentiation in direct and reverse modes: application to optimum shapes design in fluid mechanics
    • Santa Fe
    • Mohammadi, B. Malé, J.M. and Rostaing-Schmidt, N. (1995). Automatic differentiation in direct and reverse modes: application to optimum shapes design in fluid mechanics, Proc. SIAM workshop on AD, Santa Fe.
    • (1995) Proc. SIAM workshop on AD
    • Mohammadi, B.1    Malé, J.M.2    Rostaing-Schmidt, N.3
  • 241
    • 0041522587 scopus 로고
    • A new and useful template technique: traits
    • Myers, N. (1995). A new and useful template technique: traits, C+ + Report, 7(5), 32-35.
    • (1995) C+ + Report , vol.7 , Issue.5 , pp. 32-35
    • Myers, N.1
  • 242
    • 34250701036 scopus 로고    scopus 로고
    • Continuous adjoint method for the minimization of losses in cascade viscous flows
    • Papadimitriou, D. and Giannakoglou, K. (2006). Continuous adjoint method for the minimization of losses in cascade viscous flows. AIAA, 2006-49.
    • (2006) AIAA , pp. 2006-2049
    • Papadimitriou, D.1    Giannakoglou, K.2
  • 243
    • 0034206154 scopus 로고    scopus 로고
    • Adjoint recovery of superconvergent functionals from PDE approximations
    • Pierce, N. and Giles, M. (2000). Adjoint recovery of superconvergent functionals from PDE approximations, SIAM Rev. 42(247).
    • (2000) SIAM Rev , vol.42 , Issue.247
    • Pierce, N.1    Giles, M.2
  • 245
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameters vectors and difference schemes
    • Roe, PL. (1981). Approximate Riemann solvers, parameters vectors and difference schemes, J. Comp. Phys. 43, 357372.
    • (1981) J. Comp. Phys , vol.43 , pp. 357372
    • Roe, P.L.1
  • 247
    • 0027837369 scopus 로고
    • Automatic differentiation in Odyssée
    • Rostaing, N. Dalmas, S. and Galligo. A. (1993). Automatic differentiation in Odyssée, Tellus, 45a(5), 558-568.
    • (1993) Tellus , vol.45 A , Issue.5 , pp. 558-568
    • Rostaing, N.1    Dalmas, S.2    Galligo, A.3
  • 248
    • 0032014469 scopus 로고    scopus 로고
    • Using complex variables to estimate derivatives of real functions
    • Squire, W. and Trapp, G. (1998). Using complex variables to estimate derivatives of real functions, SIAM review, 10(1), 110-112.
    • (1998) SIAM review , vol.10 , Issue.1 , pp. 110-112
    • Squire, W.1    Trapp, G.2
  • 250
    • 84919839727 scopus 로고    scopus 로고
    • Automatic Differentiation in robust optimization
    • Su, J. and Renaud, J.E. (2001). Automatic Differentiation in robust optimization, AIAA J., 35:6.
    • (2001) AIAA J , vol.35 , pp. 6
    • Su, J.1    Renaud, J.E.2
  • 251
    • 0042279455 scopus 로고
    • Flux vector splitting and Runge Kutta methods for the Euler equations
    • Van Albada G.D. and Van Leer, B. (1984), Flux vector splitting and Runge Kutta methods for the Euler equations, ICASE Report 84-27.
    • (1984) ICASE Report , pp. 84-27
    • Van Albada, G.D.1    Van Leer, B.2
  • 252
    • 0001981541 scopus 로고
    • Expression templates
    • Reprinted in C++ Gems, ed. Stanley Lippman
    • Veldhuizen, T. L. (1995) Expression templates, C++ Report, 7(5) 26:31, Reprinted in C++ Gems, ed. Stanley Lippman.
    • (1995) C++ Report , vol.7 , Issue.5 , pp. 26+31
    • Veldhuizen, T.L.1
  • 253
    • 0000238006 scopus 로고    scopus 로고
    • Adjoint error estimation and grid adaptation for functional outputs
    • Venditti, D. A. and Darmofal, D. L. (2000), Adjoint error estimation and grid adaptation for functional outputs, JCP, 164, 204227.
    • (2000) JCP , vol.164 , pp. 204227
    • Venditti, D.A.1    Darmofal, D.L.2
  • 254
    • 0041800339 scopus 로고
    • On the modelling of turbulent heat and mass transfers for computation of buyoancy affected ows
    • Venezia
    • Viollet, P. L. (1981). On the modelling of turbulent heat and mass transfers for computation of buyoancy affected ows. Proc. Int. Numer. Meth. for Laminar and Turbulent Flows, Venezia.
    • (1981) Proc. Int. Numer. Meth. for Laminar and Turbulent Flows
    • Viollet, P.L.1
  • 255
    • 11544299232 scopus 로고
    • Waterloo Maple software. (1995). Maple Manual.
    • (1995) Maple Manual
  • 258
    • 84919843353 scopus 로고    scopus 로고
    • Unstructured 3D mesh adaptation for time dependent problems. Application to CFD simulations
    • Alauzet, F. Frey, P. Hecht, F. Mohammadi, B. and George, P.L. (2007). Unstructured 3D mesh adaptation for time dependent problems. Application to CFD simulations, J. Comp. Phys., 222, 269-285.
    • (2007) J. Comp. Phys. , vol.222 , pp. 269-285
    • Alauzet, F.1    Frey, P.2    Hecht, F.3    Mohammadi, B.4    George, P.L.5
  • 260
    • 84901054479 scopus 로고    scopus 로고
    • Delaunay mesh generation governed by metric specifications. Part II: applications
    • special issue on mesh adaptation
    • Borouchaki, H. George, P.L. and Mohammadi, B. (1996). Delaunay mesh generation governed by metric specifications. Part II: applications, Finite Element in Analysis and Design, special issue on mesh adaptation.
    • (1996) Finite Element in Analysis and Design
    • Borouchaki, H.1    George, P.L.2    Mohammadi, B.3
  • 261
    • 0242438869 scopus 로고
    • Anisotropic grid adaptation for inviscid and viscous flows simulations
    • Castro-Diaz, M. Hecht, F. and Mohammadi, B. (1995). Anisotropic grid adaptation for inviscid and viscous flows simulations, Int. J. Num. Meth. Fluid, 25, 475-491.
    • (1995) Int. J. Num. Meth. Fluid , vol.25 , pp. 475-491
    • Castro-Diaz, M.1    Hecht, F.2    Mohammadi, B.3
  • 263
    • 40449093496 scopus 로고
    • A numerical method for solving incompressible viscous flow problems
    • Chorin, J.A. (1967). A numerical method for solving incompressible viscous flow problems, J. Comput. Phys. 2, 12-26.
    • (1967) J. Comput. Phys. , vol.2 , pp. 12-26
    • Chorin, J.A.1
  • 264
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin, J.A. (1968). Numerical solution of the Navier-Stokes equations, Math. Comput., 22, 745-762.
    • (1968) Math. Comput. , vol.22 , pp. 745-762
    • Chorin, J.A.1
  • 265
    • 84884803568 scopus 로고
    • Experiments on shock-wave/boundarylayer interactions produced by two-dimensional ramps and three-dimensional obstacles
    • Antibes
    • Delery, J. and Coet, M.C. (1990). Experiments on shock-wave/boundarylayer interactions produced by two-dimensional ramps and three-dimensional obstacles, Proc. Workshop on Hypersonic Flows for Reentry Problems, Antibes.
    • (1990) Proc. Workshop on Hypersonic Flows for Reentry Problems
    • Delery, J.1    Coet, M.C.2
  • 266
    • 0003406897 scopus 로고
    • Steady Euler simulations using unstructured meshes
    • Dervieux, A. (1985), Steady Euler simulations using unstructured meshes, VKI lecture series, 1884-04.
    • (1985) VKI lecture series , pp. 1884-1804
    • Dervieux, A.1
  • 267
    • 0001029215 scopus 로고
    • Fully automatic mesh generator for 3d domains of any shape
    • George, P.L. Hecht, F. and Saltel, E. (1990). Fully automatic mesh generator for 3d domains of any shape, Impact Comp. Sci. Eng 2, 187-218.
    • (1990) Impact Comp. Sci. Eng , vol.2 , pp. 187-218
    • George, P.L.1    Hecht, F.2    Saltel, E.3
  • 270
    • 84987459282 scopus 로고
    • On the theory of semi-implicit projection methods for viscouc incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix I: theory
    • Gresho, P.M. (1990). On the theory of semi-implicit projection methods for viscouc incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix I: theory, Int. J. um. Meth. Fluids, 11, 587-620.
    • (1990) Int. J. um. Meth. Fluids , vol.11 , pp. 587-620
    • Gresho, P.M.1
  • 271
    • 0026173203 scopus 로고
    • Some current CFD issues relevant to the incompressible Navier-Stokes equations
    • Gresho, P.M. (1991). Some current CFD issues relevant to the incompressible Navier-Stokes equations, Comput. Meth. Appl. Mech. Eng., 87, 201-252.
    • (1991) Comput. Meth. Appl. Mech. Eng. , vol.87 , pp. 201-252
    • Gresho, P.M.1
  • 272
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type scheme for hyperbolic conservation laws
    • Harten, A. Roe, P. and Van Leer, B. (1983). On upstream differencing and Godunov-type scheme for hyperbolic conservation laws, Siam Rev., 25, 35-61.
    • (1983) Siam Rev. , vol.25 , pp. 35-61
    • Harten, A.1    Roe, P.2    Van Leer, B.3
  • 274
    • 0141466534 scopus 로고    scopus 로고
    • Mesh adaptation for time dependent simulation, optimization and control
    • Hecht, F. and Mohammadi, B. (2001). Mesh adaptation for time dependent simulation, optimization and control, Revue Européenne des éléments finis, 10(5), 575-595.
    • (2001) Revue Européenne des éléments finis , vol.10 , Issue.5 , pp. 575-595
    • Hecht, F.1    Mohammadi, B.2
  • 275
    • 0022663140 scopus 로고
    • A new finite element formulation for computational fluid dynamics: I. symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of fhermo-dynamics
    • Hughes, T.J.R. Franca, L.P. and Mallet, M. (1986). A new finite element formulation for computational fluid dynamics: I. symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of fhermo-dynamics, Comput. Meth. Appl. Mech. Eng., 54, 223-234.
    • (1986) Comput. Meth. Appl. Mech. Eng. , vol.54 , pp. 223-234
    • Hughes, T.J.R.1    Franca, L.P.2    Mallet, M.3
  • 276
    • 0022807116 scopus 로고
    • A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems
    • Hughes, T.J.R. and Mallet, M. (1986). A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems, Comput. Meth. Appl. Mech. Eng., 58, 305-328.
    • (1986) Comput. Meth. Appl. Mech. Eng. , vol.58 , pp. 305-328
    • Hughes, T.J.R.1    Mallet, M.2
  • 277
    • 0022811673 scopus 로고
    • A new finite element formulation for computational fluid dynamics: IV. Discontinuity capturing operator for multi-dimensional advective-diffusive systems
    • Hughes, T.J.R. and Mallet, M. (1986). A new finite element formulation for computational fluid dynamics: IV. Discontinuity capturing operator for multi-dimensional advective-diffusive systems, Comput. Meth. Appl. Mech. Eng., 58, 329-339.
    • (1986) Comput. Meth. Appl. Mech. Eng. , vol.58 , pp. 329-339
    • Hughes, T.J.R.1    Mallet, M.2
  • 278
    • 12844281897 scopus 로고
    • How to preserve the mass fraction positivity when computing compressible multi-component flows
    • Larrouturou, B. (1989). How to preserve the mass fraction positivity when computing compressible multi-component flows, INRIA report 1080.
    • (1989) INRIA report , pp. 1080
    • Larrouturou, B.1
  • 279
    • 84919849934 scopus 로고    scopus 로고
    • NSIKE unstructured solver for laminar and turbulent incompressible flows simulation
    • Medic, G. and Mohammadi, B. (1998). NSIKE unstructured solver for laminar and turbulent incompressible flows simulation, INRIA report 3644.
    • (1998) INRIA report , pp. 3644
    • Medic, G.1    Mohammadi, B.2
  • 283
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameters vectors and difference schemes
    • Roe, P.L. (1981). Approximate Riemann solvers, parameters vectors and difference schemes, J.Comp. Phys. 43, 357372.
    • (1981) J.Comp. Phys. , vol.43 , pp. 357372
    • Roe, P.L.1
  • 284
    • 49049151571 scopus 로고
    • Flux vector splitting for the inviscid gas dynamic with applications to finite-difference methods
    • Steger, J. and Warming, R.F. (1983). Flux vector splitting for the inviscid gas dynamic with applications to finite-difference methods, J. Comp. Phys. 40, 263-293.
    • (1983) J. Comp. Phys. , vol.40 , pp. 263-293
    • Steger, J.1    Warming, R.F.2
  • 286
    • 0042279455 scopus 로고
    • Flux vector splitting and Runge Kutta methods for the Euler equations
    • Van Albada, G.D. and Van Leer, B. (1984). Flux vector splitting and Runge Kutta methods for the Euler equations, ICASE 84-27.
    • (1984) ICASE , pp. 84-27
    • Van Albada, G.D.1    Van Leer, B.2
  • 287
    • 84966208233 scopus 로고
    • Navier-Stokes Equations, North-Holland - Elsevier
    • Amsterdam
    • Temam, R. (1984), Navier-Stokes Equations, North-Holland - Elsevier, Amsterdam.
    • (1984)
    • Temam, R.1
  • 288
    • 26844483477 scopus 로고    scopus 로고
    • Simplifying numerical solution of constrained PDE systems through involutive completion
    • Tuomela, J. and Mohammadi, B. (2005). Simplifying numerical solution of constrained PDE systems through involutive completion, M2AN, 39(5), 909929.
    • (2005) M2AN , vol.39 , Issue.5 , pp. 909929
    • Tuomela, J.1    Mohammadi, B.2
  • 289
    • 0003264183 scopus 로고
    • Upwind and symmetric shock-capturing schemes
    • Yee, H.C. (1987). Upwind and symmetric shock-capturing schemes, NASA TM 89464.
    • (1987) NASA TM , pp. 89464
    • Yee, H.C.1
  • 292
    • 0037428358 scopus 로고    scopus 로고
    • Topological optimization of fluids in Stokes flow
    • Borrvall, T. and Petersson, J. (2003). Topological optimization of fluids in Stokes flow, Int J. Numer. Meth. Fluids, 41(1), 77-107.
    • (2003) Int J. Numer. Meth. Fluids , vol.41 , Issue.1 , pp. 77-107
    • Borrvall, T.1    Petersson, J.2
  • 293
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using a homogeneization method
    • Bendsoe, M. and Kikuchi, N. (1988). Generating optimal topologies in structural design using a homogeneization method, Comp. Meth. Appl. Mech. Eng., 71, 197-227.
    • (1988) Comp. Meth. Appl. Mech. Eng , vol.71 , pp. 197-227
    • Bendsoe, M.1    Kikuchi, N.2
  • 294
    • 0035665129 scopus 로고    scopus 로고
    • The topological asymptotic for pde systems : the elasticity case
    • Garreau, S. Guillaume, P. and Masmoudi, M. (2001). The topological asymptotic for pde systems : the elasticity case, SIAM J. Control Optim., 39(6), 1756-1778.
    • (2001) SIAM J. Control Optim , vol.39 , Issue.6 , pp. 1756-1778
    • Garreau, S.1    Guillaume, P.2    Masmoudi, M.3
  • 295
    • 33847065107 scopus 로고    scopus 로고
    • Velocity extension for the level-set method and multiple eigenvalues in shape optimization
    • de Gournay, F. (2006). Velocity extension for the level-set method and multiple eigenvalues in shape optimization, SIAM J. Control Optim., 45(1), 343-367.
    • (2006) SIAM J. Control Optim , vol.45 , Issue.1 , pp. 343-367
    • de Gournay, F.1
  • 296
  • 297
    • 12844255772 scopus 로고    scopus 로고
    • The topological asymptotic expansion for the quasi-Stokes problem
    • Hassine, M. and Masmoudi, M. (2004). The topological asymptotic expansion for the quasi-Stokes problem, ESAIM: COCV, 10, 478-504.
    • (2004) ESAIM: COCV , vol.10 , pp. 478-504
    • Hassine, M.1    Masmoudi, M.2
  • 299
    • 0002615068 scopus 로고    scopus 로고
    • H-convergence
    • A. Cherkaev and R.V. Kohn eds., series: Progress in Nonlinear Differential Equations and their Applications, Birkhauuser, Boston 1997. French version: mimeographed notes, séminaire d'Analyse Fonctionnelle et Numérique de l'Université d'Algier (1978)
    • Murat, F. and Tartar, L. (1997). H-convergence. Topics in the Mathematical Modelling of Composite Materials, A. Cherkaev and R.V. Kohn eds., series: Progress in Nonlinear Differential Equations and their Applications, Birkhauuser, Boston 1997. French version: mimeographed notes, séminaire d'Analyse Fonctionnelle et Numérique de l'Université d'Algier (1978).
    • (1997) Topics in the Mathematical Modelling of Composite Materials
    • Murat, F.1    Tartar, L.2
  • 300
    • 84919849932 scopus 로고    scopus 로고
    • Asymptotic analysis of shape functionals
    • Nazarov, S. and Sokolowski, J. (2002). Asymptotic analysis of shape functionals, INRIA report, 4633.
    • (2002) INRIA report , pp. 4633
    • Nazarov, S.1    Sokolowski, J.2
  • 302
    • 0032681559 scopus 로고    scopus 로고
    • On the topological derivative in shape optimization
    • Sokolowski, J. and Zochowski, A. (1999). On the topological derivative in shape optimization, SIAM J. Control Optim., 37, 1241-1272.
    • (1999) SIAM J. Control Optim , vol.37 , pp. 1241-1272
    • Sokolowski, J.1    Zochowski, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.