메뉴 건너뛰기




Volumn 49, Issue 4, 2011, Pages 673-694

Review of output-based error estimation and mesh adaptation in computational fluid dynamics

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE REFINEMENT; ADJOINT EQUATIONS; ADJOINTS; COMPUTABLE ERROR BOUNDS; COMPUTATIONAL SIMULATION; ERROR ESTIMATION AND CONTROL; ERROR ESTIMATIONS; ERROR INDICATORS; FULLY DISCRETE; MESH ADAPTATION; REYNOLDS-AVERAGED NAVIER-STOKES; SOURCE PERTURBATION; VARIATIONAL FORMULATION; WEIGHTED RESIDUAL METHOD;

EID: 79953081925     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.J050073     Document Type: Review
Times cited : (395)

References (169)
  • 1
    • 0036544606 scopus 로고    scopus 로고
    • Verification and validation in computational fluid dynamics
    • DOI 10.1016/S0376-0421(02)00005-2, PII S0376042102000052
    • Oberkampf, W., and Trucano, T. G., "Verification and Validation in Computational Fluid Dynamics, " Progress in Aerospace Sciences, Vol. 38, No. 3, 2002, pp.209-272. doi:10.1016/S0376-0421(02)00005-2 (Pubitemid 34863048)
    • (2002) Progress in Aerospace Sciences , vol.38 , Issue.3 , pp. 209-272
    • Oberkampf, W.L.1    Trucano, T.G.2
  • 2
    • 33746379093 scopus 로고    scopus 로고
    • Comparing 10 methods for solution verification, and linking to model validation
    • Logan, R., and Nitta, C., "Comparing 10 Methods for SolutionVerification and Linking to Model Validation, " Journal of AerospaceComputing, Information, and Communication, Vol. 3, No. 7, 2006, pp. 354-373. doi:10.2514/1.20800 (Pubitemid 44117228)
    • (2006) Journal of Aerospace Computing, Information and Communication , vol.3 , Issue.7 , pp. 354-373
    • Logon, R.W.1    Nitta, C.K.2
  • 3
  • 4
    • 0242336477 scopus 로고    scopus 로고
    • Data summary fromthe first AIAA computational fluid dynamics drag prediction workshop
    • doi:10.2514/2.6877
    • Levy, D. W., Zickuhr, T., Vassberg, J., Agrawal, S., Wahls, R. A., Pirzadeh, S., andHemsch, M. J., "Data Summary fromthe First AIAA Computational Fluid Dynamics Drag Prediction Workshop, " Journalof Aircraft, Vol. 40, No. 5, 2003, pp. 875-882. doi:10.2514/2.6877
    • (2003) Journalof Aircraft , vol.40 , Issue.5 , pp. 875-882
    • Levy, D.W.1    Zickuhr, T.2    Vassberg, J.3    Agrawal, S.4    Wahls, R.A.5    Pirzadeh, S.6    Hemsch, M.J.7
  • 6
    • 85089110457 scopus 로고    scopus 로고
    • Grid generation requirements for accurate drag predictions based on over flow calculations
    • Vassberg, J. C., DeHaan, M. A., and Sclafani, T. J., "Grid Generation Requirements for Accurate Drag Predictions Based on Over flow Calculations, " AIAA Paper 2003-4124, 2003.
    • (2003) AIAA Paper 2003-4124
    • Vassberg, J.C.1    Dehaan, M.A.2    Sclafani, T.J.3
  • 8
    • 34250822981 scopus 로고    scopus 로고
    • Results from the 3rd drag prediction workshop using the NSU 3d unstructured mesh solver
    • Mavriplis, D. J., "Results from the 3rd Drag Prediction Workshop Using the NSU 3D Unstructured Mesh Solver, " AIAA Paper 2007-256, 2007.
    • (2007) AIAA Paper 2007-256
    • Mavriplis, D.J.1
  • 9
    • 0028423814 scopus 로고
    • A posteriori error estimation and adaptive mesh-refinement techniques
    • doi:10.1016/0377-0427(94)90290-9
    • Verfürth, R., "A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques, " Journal of Computational and Applied Mathematics, Vol. 50, Nos.1-3, 1994, pp. 67-83. doi:10.1016/0377-0427(94)90290-9
    • (1994) Journal of Computational and Applied Mathematics , vol.50 , Issue.1-3 , pp. 67-83
    • Verfürth, R.1
  • 10
    • 0031102111 scopus 로고    scopus 로고
    • A posteriori error estimation in finite element analysis
    • PII S0045782596011073
    • Ainsworth, M., and Oden, J. T., "A Posteriori Error Estimation inFinite Element Analysis, " Computer Methods in Applied Mechanicsand Engineering, Vol.142, Nos.1-2, 1997, pp.1-88. doi:10.1016/S0045-7825(96)01107-3 (Pubitemid 127419741)
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.142 , Issue.1-2 , pp. 1-88
    • Ainsworth, M.1    Oden, J.T.2
  • 11
    • 0029140128 scopus 로고
    • On computability and error control in CFD
    • doi:10.1002/fld.1650200806
    • Johnson, C., "On Computability and Error Control in CFD, " International Journal for Numerical Methods in Fluids, Vol.20, Nos. 8-9, 1995, pp. 777-788. doi:10.1002/fld.1650200806
    • (1995) International Journal for Numerical Methods in Fluids , vol.20 , Issue.8-9 , pp. 777-788
    • Johnson, C.1
  • 12
    • 0001255117 scopus 로고
    • Numerics and hydrodynamic stability: Toward error control in computationalfluid dynamics
    • doi:10.1137/0732048
    • Johnson, C., Rannacher, R., and Boman, M., "Numerics and Hydrodynamic Stability: Toward Error Control in ComputationalFluid Dynamics, " SIAM Journal on Numerical Analysis, Vol. 32, No. 4, 1995, pp.1058-1079. doi:10.1137/0732048
    • (1995) SIAM Journal on Numerical Analysis , vol.32 , Issue.4 , pp. 1058-1079
    • Johnson, C.1    Rannacher, R.2    Boman, M.3
  • 13
    • 78649453178 scopus 로고    scopus 로고
    • Strategies for driving mesh adaptation in CFD
    • Roy, C. J., "Strategies for Driving Mesh Adaptation in CFD, " AIAA Paper 2009-1302, 2009.
    • (2009) AIAA Paper 2009-1302
    • Roy, C.J.1
  • 14
    • 85022001969 scopus 로고    scopus 로고
    • An optimal control approach to a posteriori error estimation in finite element methods
    • Becker, R., and Rannacher, R., "An Optimal Control Approach to aPosteriori Error Estimation in Finite Element Methods, " Acta Numerica, edited by A. Iserles, Cambridge Univ. Press, Cambridge, MA, 2001, pp.1-102. (Pubitemid 33305809)
    • (2001) ACTA NUMERICA , pp. 1-102
    • Becker, R.1    Rannacher, R.2
  • 16
    • 7244226418 scopus 로고    scopus 로고
    • Adjoint and defect error bounding and correction for functional estimates
    • DOI 10.1016/j.jcp.2004.05.001, PII S0021999104001883
    • Pierce, N. A., and Giles, M. B., "Adjoint and Defect Error Boundingand Correction for Functional Estimates, " Journal of Computational Physics, Vol.200, No.2, 2004, pp. 769-794. doi:10.1016/j.jcp.2004.05.001 (Pubitemid 39436008)
    • (2004) Journal of Computational Physics , vol.200 , Issue.2 , pp. 769-794
    • Pierce, N.A.1    Giles, M.B.2
  • 17
    • 85021895182 scopus 로고    scopus 로고
    • Adjoint methods for PDEs: A posteriorierror analysis and postprocessing by duality
    • doi:10.1017/CBO9780511550140.003
    • Giles, M. B., and Süli, E., "Adjoint Methods for PDEs: A PosterioriError Analysis and Postprocessing by Duality, " Acta Numerica, Vol.11, No., 2002, pp.145-236. doi:10.1017/CBO9780511550140.003
    • (2002) Acta Numerica , vol.11 , pp. 145-236
    • Giles, M.B.1    Süli, E.2
  • 18
    • 84932609588 scopus 로고    scopus 로고
    • Error estimation and adaptivemeshrefinement for aerodynamic flows
    • edited by H. Deconinck, von Kármán Inst. for Fluid Dynamics, Rhode-St-GenŠse, Belgium
    • Hartmann, R., and Houston, P., "Error Estimation and AdaptiveMeshRefinement for Aerodynamic Flows, " 36th CFD/ADIGMA Course on hp-Adaptive and hp-MultigridMethods: VKI Lecture Series 2010-01, edited by H. Deconinck, von Kármán Inst. for Fluid Dynamics, Rhode-St-GenŠse, Belgium 2010.
    • (2010) 36th CFD/ADIGMA Course on Hp-adaptive and Hp-multigridMethods VKI Lecture Series 2010-01
    • Hartmann, R.1    Houston, P.2
  • 20
    • 20544476549 scopus 로고
    • Aerodynamic design via control theory
    • doi:10.1007/BF01061285
    • Jameson, A., "Aerodynamic Design via Control Theory, " Journal of Scientific Computing, Vol. 3, No. 3, 1988, pp.233-260. doi:10.1007/BF01061285
    • (1988) Journal of Scientific Computing , vol.3 , Issue.3 , pp. 233-260
    • Jameson, A.1
  • 21
    • 0004010285 scopus 로고    scopus 로고
    • Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation
    • Anderson, W. K., and Venkatakrishnan, V., "Aerodynamic Design Optimization on Unstructured Grids with a Continuous Adjoint Formulation, " ICASE Tech. Rept.97-9, 1997.
    • (1997) ICASE Tech. Rept.97-9
    • Anderson, W.K.1    Venkatakrishnan, V.2
  • 22
    • 0001429456 scopus 로고    scopus 로고
    • Practical three-dimensional aerodynamic design and optimization using unstructured meshes
    • Elliott, J., and Peraire, J., "Practical Three-Dimensional Aerodynamic Design and Optimization Using Unstructured Meshes, " AIAA Journal, Vol. 35, No.9, 1997, pp.1479-1485. doi:10.2514/2.271 (Pubitemid 127543086)
    • (1997) AIAA Journal , vol.35 , Issue.9 , pp. 1479-1485
    • Elliott, J.1    Peraire, J.2
  • 23
    • 0033225820 scopus 로고    scopus 로고
    • Aerodynamic design optimization on unstructured meshes using the Navier-Stokes equations
    • Nielsen, E., and Anderson, W., "Aerodynamic Design Optimizationon Unstructured Meshes Using the Navier-Stokes Equations, " AIAA Journal, Vol. 37, No.11, 1999, pp.1411-1419. doi:10.2514/2.640 (Pubitemid 30512800)
    • (1999) AIAA journal , vol.37 , Issue.11 , pp. 1411-1419
    • Nielsen, E.J.1    Anderson, W.K.2
  • 24
    • 0033617639 scopus 로고    scopus 로고
    • Mesh adaption and automatic differentiation in a CAD-free framework for optimal shape design
    • DOI 10.1002/(SICI)1097-0363(19990530)30:2<127::AID-FLD826>3.0.CO;2- S
    • Mohammadi, B., and Pironneau, O., "Mesh Adaption and Automatic Differentiation in a Cad-Free Framework for Optimal Shape Design, " International Journal forNumericalMethods in Fluids, Vol. 30, No.2, 1999, pp.127-136. doi:10.1002/(SICI)1097-0363(19990530)30:2<127::AID-FLD826>3.0. CO;2-S (Pubitemid 29384787)
    • (1999) International Journal for Numerical Methods in Fluids , vol.30 , Issue.2 , pp. 127-136
    • Mohammadi, B.1    Pironneau, O.2
  • 25
    • 27444447635 scopus 로고    scopus 로고
    • A coupled-adjoint sensitivity analysis method for high-fidelity aero-structural design
    • DOI 10.1023/B:OPTE.0000048536.47956.62
    • Martins, J. R., Alonso, J. J., and Reuther, J. J., "A Coupled-Adjoint Sensitivity Analysis Method for High-Fidelity Aero-Structural Design, " Optimization and Engineering, Vol. 6, No.1, 2005, pp. 33-62. doi:10.1023/B:OPTE.0000048536.47956.62 (Pubitemid 41529601)
    • (2005) Optimization and Engineering , vol.6 , Issue.1 , pp. 33-62
    • Martins, J.R.R.A.1    Alonso, J.J.2    Reuther, J.J.3
  • 26
    • 84985315731 scopus 로고
    • A posteriori error estimates for the finite element method
    • doi:10.1002/nme.1620121010
    • Babuška, I., and Rheinboldt, W., "A Posteriori Error Estimates for the Finite Element Method, " International Journal for Numerical Methods in Engineering, Vol.12, No.10, 1978, pp.1597-1615. doi:10.1002/nme.1620121010
    • (1978) International Journal for Numerical Methods in Engineering , vol.12 , Issue.10 , pp. 1597-1615
    • Babuška, I.1    Rheinboldt, W.2
  • 27
    • 0021441740 scopus 로고
    • POST-PROCESSING APPROACH IN THE FINITE ELEMENT METHOD - PART 1: CALCULATION OF DISPLACEMENTS, STRESSES AND OTHER HIGHER DERIVATIVES OF THE DISPLACEMENTS.
    • Babuška, I., and Miller, A., "The Post-Processing Approach in the Finite Element Method, Part 1: Calculation of Displacements, Stressesand Other Higher Derivatives of the Displacements, " International Journal for Numerical Methods in Engineering, Vol.20, No. 6, 1984, pp.1085-1109. doi:10.1002/nme.1620200610 (Pubitemid 14607008)
    • (1984) International Journal for Numerical Methods in Engineering , vol.20 , Issue.6 , pp. 1085-1109
    • Babuska, I.1    Miller, A.2
  • 28
    • 0021440959 scopus 로고
    • POST-PROCESSING APPROACH IN THE FINITE ELEMENT METHOD - PART 2: THE CALCULATION OF STRESS INTENSITY FACTORS.
    • Babuška, I., and Miller, A., "The Post-Processing Approach in the Finite Element Method, Part 2: The Calculation of Stress Intensity Factors, " International Journal for Numerical Methods in Engineering, Vol.20, No. 6, 1984, pp.1111-1129. doi:10.1002/nme.1620200611 (Pubitemid 14607007)
    • (1984) International Journal for Numerical Methods in Engineering , vol.20 , Issue.6 , pp. 1111-1129
    • Babuska, I.1    Miller, A.2
  • 30
    • 0042233328 scopus 로고    scopus 로고
    • The adaptive computation of far-field patterns by a posteriori error estimation of linear functional
    • doi:10.1137/S0036142997315172
    • Monk, P., and Süli, E., "The Adaptive Computation of Far-Field Patterns by a Posteriori Error Estimation of Linear Functional, " SIAM Journal on Numerical Analysis, Vol. 36, No.1, 1998, pp.251-274. doi:10.1137/S0036142997315172
    • (1998) SIAM Journal on Numerical Analysis , vol.36 , Issue.1 , pp. 251-274
    • Monk, P.1    Süli, E.2
  • 31
    • 0030383153 scopus 로고    scopus 로고
    • A feed-back approach to error control in finite element methods: Basic analysis and examples
    • Becker, R., and Rannacher, R., "A Feed-Back Approach to Error Control in Finite Element Methods: Basic Analysis and Examples, " East West Journal of numerical mathematics, Vol. 4, No. 4, 1996, pp.237-264.
    • (1996) East West Journal of Numerical Mathematics , vol.4 , Issue.4 , pp. 237-264
    • Becker, R.1    Rannacher, R.2
  • 32
    • 0032624694 scopus 로고    scopus 로고
    • Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The helmholtz and burgers Equation
    • doi:10.1016/S0045-7825(98)00244-8
    • Peraire, J., and Patera, A., "Asymptotic a Posteriori Finite Element Bounds for the Outputs of Noncoercive Problems: The Helmholtz and Burgers Equation, " Computer Methods in Applied Mechanics and Engineering, Vol.171, Nos.1-2, 1999, pp. 77-86. doi:10.1016/S0045-7825(98)00244-8
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.171 , Issue.1-2 , pp. 77-86
    • Peraire, J.1    Patera, A.2
  • 34
    • 0034352046 scopus 로고    scopus 로고
    • A posteriori error analysisfor stabilised finite element approximations of transport problems
    • doi:10.1016/S0045-7825(00)00174-2
    • Houston, P., Rannacher, R., and Süli, E., "A Posteriori Error Analysisfor Stabilised Finite Element Approximations of Transport Problems, " Computer Methods in Applied Mechanics and Engineering, Vol.190, Nos.11-12, 2000, pp.1483-1508. doi:10.1016/S0045-7825(00)00174-2
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.11-12 , pp. 1483-1508
    • Houston, P.1    Rannacher, R.2    Süli, E.3
  • 35
    • 0034206154 scopus 로고    scopus 로고
    • Adjoint recovery of super convergent functionals from PDE approximations
    • doi:10.1137/S0036144598349423
    • Pierce, N. A., and Giles, M. B., "Adjoint Recovery of Super convergent Functionals from PDE Approximations, " SIAM Review, Vol. 42, No.2, 2000, pp.247-264. doi:10.1137/S0036144598349423
    • (2000) SIAM Review , vol.42 , Issue.2 , pp. 247-264
    • Pierce, N.A.1    Giles, M.B.2
  • 36
    • 0034817636 scopus 로고    scopus 로고
    • Goal-oriented error estimation and adaptivity for the finite element method
    • DOI 10.1016/S0898-1221(00)00317-5
    • Oden, J., and Prudhomme, S., "Goal-Oriented Error Estimation andAdaptivity for the Finite Element Method, " Computers and Mathematics with Applications (1975-) / Computers & Mathematics with Applications, Vol. 41, Nos. 5-6, 2001, pp. 735-756. doi:10.1016/S0898-1221(00)00317-5 (Pubitemid 32874156)
    • (2001) Computers and Mathematics with Applications , vol.41 , Issue.5-6 , pp. 735-756
    • Oden, J.T.1    Prudhomme, S.2
  • 37
    • 0012608562 scopus 로고    scopus 로고
    • A posteriori error estimates for higher order godunov finite volume methods on unstructured meshes
    • edited byR. Herban, andD. Kröner, Hermes Penton, London
    • Barth, T., and Larson, M., "A Posteriori Error Estimates for Higher Order Godunov Finite Volume Methods on Unstructured Meshes, " Finite Volumes forComplex Applications III, edited byR. Herban, andD. Kröner, Hermes Penton, London, 2002, pp. 41-63.
    • (2002) Finite Volumes ForComplex Applications III , pp. 41-63
    • Barth, T.1    Larson, M.2
  • 38
    • 0037059262 scopus 로고    scopus 로고
    • Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations
    • DOI 10.1006/jcph.2002.7206
    • Hartmann, R., and Houston, P., "Adaptive Discontinuous Galerkin Finite Element Methods for the Compressible Euler Equations, " Journal of Computational Physics, Vol.183, No.2, 2002, pp. 508-532. doi:10.1006/jcph.2002. 7206 (Pubitemid 36100567)
    • (2002) Journal of Computational Physics , vol.183 , Issue.2 , pp. 508-532
    • Hartmann, R.1    Houston, P.2
  • 39
    • 0037406386 scopus 로고    scopus 로고
    • Anisotropic grid adaptation for functional outputs: Application to two-dimensional viscous flows
    • DOI 10.1016/S0021-9991(03)00074-3
    • Venditti, D. A., and Darmofal, D. L., "Anisotropic Grid Adaptation for Functional Outputs: Application to Two-Dimensional Viscous Flows, " Journal of Computational Physics, Vol.187, No.1, 2003, pp.22-46. doi:10.1016/S0021-9991(03)00074-3 (Pubitemid 36515570)
    • (2003) Journal of Computational Physics , vol.187 , Issue.1 , pp. 22-46
    • Venditti, D.A.1    Darmofal, D.L.2
  • 41
    • 0003343899 scopus 로고    scopus 로고
    • Adjoint equations in CFD: Duality, boundary conditions and solution behavior
    • Giles, M. B., and Pierce, N. A., "Adjoint Equations in CFD: Duality, Boundary Conditions and Solution Behavior, " AIAA Paper 97-1850, 1997.
    • (1997) AIAA Paper 97-1850
    • Giles, M.B.1    Pierce, N.A.2
  • 42
    • 0035835275 scopus 로고    scopus 로고
    • Analytic adjoint solutions for the quasi-one-dimensional Euler equations
    • DOI 10.1017/S0022112000002366
    • Giles, M., and Pierce, N., "Analytic Adjoint Solutions for the Quasi-One-Dimensional Euler Equations, " Journal of Fluid Mechanics, Vol. 426, No., 2001, pp. 327-345. doi:10.1017/S0022112000002366 (Pubitemid 35218874)
    • (2001) Journal of Fluid Mechanics , vol.426 , pp. 327-345
    • Giles, M.B.1    Pierce, N.A.2
  • 43
    • 52749090478 scopus 로고    scopus 로고
    • Adjoint consistency analysis of discontinuous galerkin discretizations
    • doi:10.1137/060665117
    • Hartmann, R., "Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations, " SIAM Journal on Numerical Analysis, Vol. 45, No. 6, 2007, pp.2671-2696. doi:10.1137/060665117
    • (2007) SIAM Journal on Numerical Analysis , vol.45 , Issue.6 , pp. 2671-2696
    • Hartmann, R.1
  • 44
    • 78549286043 scopus 로고    scopus 로고
    • Impact of turbulence modelirregularity on high-order discretizations
    • Oliver, T. A., and Darmofal, D. L., "Impact of Turbulence ModelIrregularity on High-Order Discretizations, " AIAA Paper 2009-953, 2009.
    • (2009) AIAA Paper 2009-953
    • Oliver, T.A.1    Darmofal, D.L.2
  • 45
    • 2942687919 scopus 로고    scopus 로고
    • Lax theorem and finite volume schemes
    • doi:10.1090/S0025-5718-03-01618-1
    • Despres, B., "Lax Theorem and Finite Volume Schemes, " Mathematics of Computation, Vol. 73, No.247, 2003, pp.1203-1234. doi:10.1090/S0025-5718-03-01618-1
    • (2003) Mathematics of Computation , vol.73 , Issue.247 , pp. 1203-1234
    • Despres, B.1
  • 46
    • 0036410391 scopus 로고    scopus 로고
    • Unified analysis of discontinuous Galerkin methods for elliptic problems
    • DOI 10.1137/S0036142901384162, PII S0036142901384162
    • Arnold, D. N., Brezzi, F., Cockburn, B., and Marini, L. D., "Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems, " SIAM Journal on Numerical Analysis, Vol. 39, No. 5, 2002, pp.1749-1779. doi:10.1137/S0036142901384162 (Pubitemid 35324903)
    • (2002) SIAM Journal on Numerical Analysis , vol.39 , Issue.5
    • Arnold, D.N.1    Brezzi, F.2    Cockburn, B.3    Marini, L.D.4
  • 48
  • 49
    • 0141975232 scopus 로고    scopus 로고
    • A quasi-minimal residual method for simultaneous primal-dual solutions and superconvergent functional estimates
    • doi:10.1137/S1064827501390625
    • Lu, J., and Darmofal, D. L., "A Quasi-Minimal Residual Method for Simultaneous Primal-Dual Solutions and Superconvergent Functional Estimates, " SIAM Journal on Scientific Computing, Vol.24, No. 5, 2003, pp.1693-1709. doi:10.1137/S1064827501390625
    • (2003) SIAM Journal on Scientific Computing , vol.24 , Issue.5 , pp. 1693-1709
    • Lu, J.1    Darmofal, D.L.2
  • 50
    • 15744387607 scopus 로고    scopus 로고
    • On the performance of discrete adjoint CFD codes using automatic differentiation
    • DOI 10.1002/fld.885, 8th Conference on Numerical Methods for Fluid Dynamics: Part 1
    • Müller, J., and Cusdin, P., "On the Performance of Discrete Adjoint CFD Codes Using Automatic Differentiation, " International Journalfor Numerical Methods in Fluids, Vol. 47, Nos. 8-9, 2005, pp.939-945. doi:10.1002/fld.885 (Pubitemid 40413130)
    • (2005) International Journal for Numerical Methods in Fluids , vol.47 , Issue.8-9 , pp. 939-945
    • Muller, J.-D.1    Cusdin, P.2
  • 51
    • 44649149001 scopus 로고    scopus 로고
    • ADjoint: An approach for the rapid development of discrete adjoint solvers
    • DOI 10.2514/1.29123
    • Mader, C. A., Martins, J. R., Alonso, J. J., and van der Weide, E., "Adjoint: An Approach for the Rapid Development of Discrete Adjoint Solvers, " AIAA Journal, Vol. 46, No. 4, 2008, pp. 863-873. doi:10.2514/1.29123 (Pubitemid 351773889)
    • (2008) AIAA Journal , vol.46 , Issue.4 , pp. 863-873
    • Mader, C.A.1    Martins, J.R.R.A.2    Alonso, J.J.3    Van Weide, E.D.4
  • 52
    • 0037324761 scopus 로고    scopus 로고
    • Algorithm developments for discrete adjointmethods
    • doi:10.2514/2.1961
    • Giles, M. B., Duta, M. C., Müller, J. -D., and Pierce, N. A., "Algorithm Developments for Discrete AdjointMethods, " AIAA Journal, Vol. 41, No.2, 2003, pp.198-205. doi:10.2514/2.1961
    • (2003) AIAA Journal , vol.41 , Issue.2 , pp. 198-205
    • Giles, M.B.1    Duta, M.C.2    Müller, J.-D.3    Pierce, N.A.4
  • 53
    • 2442486503 scopus 로고    scopus 로고
    • An implicit, exact dual adjoint solution method for turbulent flows on unstructured grids
    • DOI 10.1016/j.compfluid.2003.09.005, PII S0045793004000039
    • Nielsen, E. J., Lu, J., Park, M. A., and Darmofal, D. L., "An Implicit, Exact Dual Adjoint Solution Method for Turbulent Flows on Unstructured Grids, " Computers and Fluids, Vol. 33, No.9, 2004, pp.1131-1155. doi:10.1016/j.compfluid.2003.09.005 (Pubitemid 38653508)
    • (2004) Computers and Fluids , vol.33 , Issue.9 , pp. 1131-1155
    • Nielsen, E.J.1    Lu, J.2    Park, M.A.3    Darmofal, D.L.4
  • 55
    • 0027007641 scopus 로고
    • Exact-gradient shape optimization of a 2-D Euler flow
    • Beux, F., and Dervieux, A., "Exact-Gradient Shape Optimization of a2-D Euler Flow, " Finite Elements in Analysis and Design, Vol.12, Nos. 3-4, 1992, pp.281-302. doi:10.1016/0168-74X(92)90038-E (Pubitemid 23608007)
    • (1992) Finite elements in analysis and design , vol.12 , Issue.3-4 , pp. 281-302
    • Beux Francois1    Dervieux Alain2
  • 57
    • 43949167815 scopus 로고
    • Strong and weak norm refinement indicators based onthe finite element residual for compressible flow computation
    • doi:10.1006/icse.1993.1005
    • Sonar, T., "Strong and Weak Norm Refinement Indicators Based onthe Finite Element Residual for Compressible Flow Computation, " Impact of Computing in Science and Engineering, Vol. 5, No.2, 1993, pp.111-127. doi:10.1006/icse.1993.1005
    • (1993) Impact of Computing in Science and Engineering , vol.5 , Issue.2 , pp. 111-127
    • Sonar, T.1
  • 58
    • 0002237548 scopus 로고
    • Dynamic adaptivity andresidual control in unsteady compressible flow computation
    • doi:10.1016/0895-7177(94)90178-3
    • Sonar, T., Hanneman, V., and Hempel, D., "Dynamic Adaptivity andResidual Control in Unsteady Compressible Flow Computation, " Mathematical and Computer Modelling, Vol.20, No.10, 1994, pp.201-213. doi:10.1016/0895-7177(94)90178-3
    • (1994) Mathematical and Computer Modelling , vol.20 , Issue.10 , pp. 201-213
    • Sonar, T.1    Hanneman, V.2    Hempel, D.3
  • 59
    • 0345816833 scopus 로고    scopus 로고
    • On a Second Order Residual Estimator for Numerical Schemes for Nonlinear Hyperbolic Conservation Laws
    • DOI 10.1006/jcph.2001.6784
    • Thomas, I., and Sonar, T., "On a Second Order Residual Estimator forNumerical Schemes for Nonlinear Hyperbolic Conservation Laws, " Journal of Computational Physics, Vol.171, No.1, 2001, pp.227-242. doi:10.1006/jcph. 2001.6784 (Pubitemid 33667116)
    • (2001) Journal of Computational Physics , vol.171 , Issue.1 , pp. 227-242
    • Thomas, I.1    Sonar, T.2
  • 62
    • 0012571382 scopus 로고    scopus 로고
    • Error estimation and adaptive discretization methods in computational fluid dynamics
    • edited by T. Barth, and H. Deconinck, Lecture Notes in Computational Science and Engineering, Springer-Verlag, Heidelberg
    • Houston, P., and Süli, E., "Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics, " Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics, edited by T. Barth, and H. Deconinck, Vol.25, Lecture Notes in Computational Science and Engineering, Springer-Verlag, Heidelberg, 2002, pp.269-344.
    • (2002) Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics , vol.25 , pp. 269-344
    • Houston, P.1    Süli, E.2
  • 63
    • 0442328965 scopus 로고    scopus 로고
    • Goal-oriented hp-adaptivity for elliptic problems
    • DOI 10.1016/j.cma.2003.09.015
    • Solín, P., and Demkowicz, L., "Goal-Oriented hp-Adaptivity for Elliptic Problems, " Computer Methods in Applied Mechanics and Engineering, Vol.193, Nos. 6-8, 2004, pp. 449-468. doi:10.1016/j.cma.2003.09.015 (Pubitemid 38187800)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.6-8 , pp. 449-468
    • Solin, P.1    Demkowicz, L.2
  • 64
    • 84878481624 scopus 로고    scopus 로고
    • Solution adaptive mesh refinementusing adjoint error analysis
    • Müller, J. D., and Giles, M. B., "Solution Adaptive Mesh RefinementUsing Adjoint Error Analysis, " AIAA Paper 2001-2550, 2001.
    • (2001) AIAA Paper 2001-2550
    • Müller, J.D.1    Giles, M.B.2
  • 65
    • 55949085428 scopus 로고    scopus 로고
    • Adjoint-based errorestimation and grid adaptation for functional outputs: Applicationto two-dimensional, inviscid, incompressible flows
    • doi:10.1016/j.compfluid.2008.04.003
    • Balasubramanian, R., and Newman, J., III, "Adjoint-Based ErrorEstimation and Grid Adaptation for Functional Outputs: Applicationto Two-Dimensional, Inviscid, Incompressible Flows, " Computersand Fluids, Vol. 38, No.2, 2009, pp. 320-332. doi:10.1016/j.compfluid.2008.04.003
    • (2009) Computersand Fluids , vol.38 , Issue.2 , pp. 320-332
    • Balasubramanian, R.1    Newman Iii, J.2
  • 66
    • 0037050818 scopus 로고    scopus 로고
    • Grid adaptation for functionaloutputs:application to two-dimensional inviscid flows
    • Venditti, D. A., and Darmofal, D. L., "Grid Adaptation for FunctionalOutputs:Application to Two-Dimensional Inviscid Flows, " Journal of Computational Physics, Vol.176, No.1, 2002, pp. 40-69.
    • (2002) Journal of Computational Physics , vol.176 , Issue.1 , pp. 40-69
    • Venditti, D.A.1    Darmofal, D.L.2
  • 67
    • 0035281435 scopus 로고    scopus 로고
    • Adaptive Galerkin finite element methods for partial differential equations
    • DOI 10.1016/S0377-0427(00)00513-6, PII S0377042700005136, Numerical Analysis 2000 Vol VII: Partial Differential Equations
    • Rannacher, R., "Adaptive Galerkin Finite Element Methods for Partial Differential Equations, " Journal of Computational and Applied Mathematics, Vol.128, Nos.1-2, 2001, pp.205-233. doi:10.1016/S0377-0427(00) 00513-6 (Pubitemid 32248123)
    • (2001) Journal of Computational and Applied Mathematics , vol.128 , Issue.1-2 , pp. 205-233
    • Rannacher, R.1
  • 68
    • 35748943544 scopus 로고    scopus 로고
    • Error estimation and adaptiverefinement for embedded-boundary cartesian meshes
    • Nemec, M., and Aftosmis, M. J., "Error Estimation and AdaptiveRefinement for Embedded-Boundary Cartesian Meshes, " AIAAPaper 2007-4187, 2007.
    • (2007) AIAAPaper 2007-4187
    • Nemec, M.1    Aftosmis, M.J.2
  • 69
    • 78149437436 scopus 로고    scopus 로고
    • Adjoint-basedadaptive mesh refinement for complex geometries
    • Nemec, M., Aftosmis, M. J., and Wintzer, M., "Adjoint-BasedAdaptive Mesh Refinement for Complex Geometries, " AIAAPaper 2008-0725, 2008.
    • (2008) AIAAPaper 2008-0725
    • Nemec, M.1    Aftosmis, M.J.2    Wintzer, M.3
  • 70
    • 34547538932 scopus 로고    scopus 로고
    • A triangular cut-celladaptivemethod for high-order discretizations of the compressible navier-stokes equations
    • doi:10.1016/j.jcp.2007.02.007
    • Fidkowski, K. J., and Darmofal, D. L., "A Triangular Cut-CellAdaptiveMethod for High-Order Discretizations of the Compressible Navier-Stokes Equations, " Journal of Computational Physics, Vol.225, No.2, 2007, pp.1653-1672. doi:10.1016/j.jcp.2007.02.007
    • (2007) Journal of Computational Physics , vol.225 , Issue.2 , pp. 1653-1672
    • Fidkowski, K.J.1    Darmofal, D.L.2
  • 73
    • 0000238006 scopus 로고    scopus 로고
    • Adjoint error estimation andgrid adaptation for functional outputs: Application to quasi-one-dimensional flow
    • doi:10.1006/jcph.2000.6600
    • Venditti, D. A., and Darmofal, D. L., "Adjoint Error Estimation andGrid Adaptation for Functional Outputs: Application to Quasi-One-Dimensional Flow, " Journal of Computational Physics, Vol.164, No.1, 2000, pp.204-227. doi:10.1006/jcph.2000.6600
    • (2000) Journal of Computational Physics , vol.164 , Issue.1 , pp. 204-227
    • Venditti, D.A.1    Darmofal, D.L.2
  • 74
    • 85087192662 scopus 로고    scopus 로고
    • Adjoint-based, three-dimensional error prediction and grid adaptation
    • Park, M. A., "Adjoint-Based, Three-Dimensional Error Prediction and Grid Adaptation, " AIAA Paper 2002-3286, 2002.
    • (2002) AIAA Paper 2002-3286
    • Park, M.A.1
  • 75
    • 85087188281 scopus 로고    scopus 로고
    • Three-dimensional turbulent rans adjoint-based error correction
    • Park, M. A., "Three-Dimensional Turbulent RANS Adjoint-Based Error Correction, " AIAA Paper 2003-3849, 2003.
    • (2003) AIAA Paper 2003-3849
    • Park, M.A.1
  • 76
    • 28844499993 scopus 로고    scopus 로고
    • Application of parallel adjoint-based error estimationand anisotropic grid adaptation for three-dimensional aerospaceconfigurations
    • Lee-Rausch, E. M., Park, M. A., Jones, W. T., Hammond, D. P., and Nielsen, E. J., "Application of Parallel Adjoint-Based Error Estimationand Anisotropic Grid Adaptation for Three-Dimensional AerospaceConfigurations, " AIAA Paper 2005-4842, 2005.
    • (2005) AIAA Paper 2005-4842
    • Lee-Rausch, E.M.1    Park, M.A.2    Jones, W.T.3    Hammond, D.P.4    Nielsen, E.J.5
  • 77
    • 34250864424 scopus 로고    scopus 로고
    • Validation of 3-dadjoint based error estimation and mesh adaptation for sonic boom predictions
    • Jones, W. T., Nielsen, E. J., and Park, M. A., "Validation of 3-DAdjoint Based Error Estimation and Mesh Adaptation for Sonic Boom Predictions, " AIAA Paper 2006-1150, 2006.
    • (2006) AIAA Paper 2006-1150
    • Jones, W.T.1    Nielsen, E.J.2    Park, M.A.3
  • 78
    • 33947530656 scopus 로고    scopus 로고
    • Comparison of adjoint-based and feature-based grid adaptation for functional outputs
    • DOI 10.1002/fld.1361
    • Balasubramanian, R., and Newman, J., III, "Comparison of Adjoint-Based and Feature-Based Grid Adaptation for Functional Outputs, " International Journal for Numerical Methods in Fluids, Vol. 53, No.10, 2007, pp.1541-1569. doi:10.1002/fld.1361 (Pubitemid 46470731)
    • (2007) International Journal for Numerical Methods in Fluids , vol.53 , Issue.10 , pp. 1541-1569
    • Balasubramanian, R.1    Newman, J.C.2
  • 80
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique
    • doi:10.1002/nme.1620330702
    • Zienkiewicz, O. C., and Zhu, J. Z., "The Superconvergent Patch Recovery and a Posteriori Error Estimates. Part 1: The Recovery Technique, " International Journal for Numerical Methods in Engineering, Vol. 33, No. 7, 1992, pp.1331-1364. doi:10.1002/nme.1620330702
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , Issue.7 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 81
    • 0026869285 scopus 로고
    • The superconvergent patchrecovery and a posteriori error estimates. Part 2: Error estimates and adaptivity
    • doi:10.1002/nme.1620330703
    • Zienkiewicz, O. C., and Zhu, J. Z., "The Superconvergent PatchRecovery and a Posteriori Error Estimates. Part 2: Error Estimates and Adaptivity, " International Journal for Numerical Methods in Engineering, Vol. 33, No. 7, 1992, pp.1365-1382. doi:10.1002/nme.1620330703
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , Issue.7 , pp. 1365-1382
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 83
    • 38549112434 scopus 로고    scopus 로고
    • Heuristic a posteriori estimation of error due to dissipation in finite volume schemes and application to mesh adaptation
    • doi:10.1016/j.jcp.2007.11.020
    • Dwight, R. P., "Heuristic a Posteriori Estimation of Error due to Dissipation in Finite Volume Schemes and Application to Mesh Adaptation, " Journal of Computational Physics, Vol.227, No. 5, 2008, pp.2845-2863. doi:10.1016/j.jcp.2007.11.020
    • (2008) Journal of Computational Physics , vol.227 , Issue.5 , pp. 2845-2863
    • Dwight, R.P.1
  • 84
    • 67349225954 scopus 로고    scopus 로고
    • Goal-oriented a posteriori error estimation for multiple target functionals
    • edited by T. Hou, and E. Tadmor, Springer-Verlag, New York
    • Hartmann, R., and Houston, P., "Goal-Oriented a Posteriori Error Estimation for Multiple Target Functionals, " Hyperbolic Problems:Theory, Numerics, Applications, edited by T. Hou, and E. Tadmor, Springer-Verlag, New York, 2003, pp. 579-588.
    • (2003) Hyperbolic ProblemsTheory Numerics Applications , pp. 579-588
    • Hartmann, R.1    Houston, P.2
  • 85
    • 84992361874 scopus 로고    scopus 로고
    • Multitarget error estimation and adaptivity inaerodynamic flow simulations
    • doi:10.1137/070710962
    • Hartmann, R., "Multitarget Error Estimation and Adaptivity inAerodynamic Flow Simulations, " SIAM Journal on Scientific Computing, Vol. 31, No.1, 2008, pp. 708-731. doi:10.1137/070710962
    • (2008) SIAM Journal on Scientific Computing , vol.31 , Issue.1 , pp. 708-731
    • Hartmann, R.1
  • 86
    • 0003795668 scopus 로고
    • Estimation and control of error based on pconvergence
    • edited by I. Babuska, O. C. Zienkiewicz, J. Gago, and E. R. de Oliveira, Wiley, New York
    • Szabo, B. A., "Estimation and Control of Error Based on pConvergence, " Accuracy Estimates and Adaptive Refinements in Finite Element Computations, edited by I. Babuska, O. C. Zienkiewicz, J. Gago, and E. R. de Oliveira, Wiley, New York, 1986, pp. 61-78.
    • (1986) Accuracy Estimates and Adaptive Refinements in Finite Element Computations , pp. 61-78
    • Szabo, B.A.1
  • 87
    • 34250128680 scopus 로고
    • The H, P, and H-P versions of the finite element method in one dimension. Part III: The adaptive h-pversion
    • Gui, W., and Babuska, I., "The h, p, and h-p Versions of the Finite Element Method in One Dimension. Part III: The Adaptive h-pVersion, " NumerischeMathematik, Vol. 49, No. 6, 1986, pp. 659-683.
    • (1986) NumerischeMathematik , vol.49 , Issue.6 , pp. 659-683
    • Gui, W.1    Babuska, I.2
  • 88
    • 0030196631 scopus 로고    scopus 로고
    • Hp-Version discontinuous Galerkin methods for hyperbolic conservation laws
    • Bey, K. S., and Oden, J. T., "hp-Version Discontinuous Galerkinmethods for Hyperbolic Conservation Laws, " Computer Methods inApplied Mechanics and Engineering, Vol.133, Nos. 3-4, 1996, pp.259-286. doi:10.1016/0045-7825(95)00944-2 (Pubitemid 126395548)
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.133 , Issue.3-4 , pp. 259-286
    • Bey, K.S.1    Oden, J.T.2
  • 89
    • 0024885663 scopus 로고
    • Toward a universal h-p adaptive finite element strategy. Part 3. Design of h-p meshes
    • Rachowicz, W., Demkowicz, L., and Oden, J., "Toward a Universalh-p Adaptive Finite Element Strategy, Part 3. Design of h-pMeshes, " Computer Methods in Applied Mechanics and Engineering, Vol. 77, Nos.1-2, 1989, pp.181-212. doi:10.1016/0045-7825(89)90131-X (Pubitemid 20644777)
    • (1989) Computer Methods in Applied Mechanics and Engineering , vol.77 , Issue.1-2 , pp. 181-212
    • Rachowicz, W.1    Oden, J.T.2    Demkowicz, L.3
  • 90
    • 0031642814 scopus 로고    scopus 로고
    • An adaptive refinement strategy for hp-finite element computations
    • PII S0168927497000834
    • Ainsworth, M., and Senior, B., "An Adaptive Refinement Strategy forhp-Finite Element Computations, " Applied Numerical Mathematics, Vol.26, Nos.1-2, 1998, pp.165-178. doi:10.1016/S0168-9274(97)00083-4 (Pubitemid 128409636)
    • (1998) Applied Numerical Mathematics , vol.26 , Issue.1-2 , pp. 165-178
    • Ainsworth, M.1    Senior, B.2
  • 91
    • 0036347672 scopus 로고    scopus 로고
    • Hp-adaptivediscontinuousgalerkin finiteelement methods for first-order hyperbolic problems
    • doi:10.1137/S1064827500378799
    • Houston, P., and Süli, E., "hp-AdaptiveDiscontinuousGalerkin FiniteElement Methods for First-Order Hyperbolic Problems, " SIAMJournal on Scientific Computing, Vol.23, No. 4, 2001, pp.1226-1252. doi:10.1137/ S1064827500378799
    • (2001) SIAMJournal on Scientific Computing , vol.23 , Issue.4 , pp. 1226-1252
    • Houston, P.1    Süli, E.2
  • 92
    • 0038468620 scopus 로고    scopus 로고
    • A fully automatichp-adaptivity
    • doi:10.1023/A:1015192312705
    • Demkowicz, L., Rachowicz, W., and Devloo, P., "A Fully Automatichp-Adaptivity, " Journal of Scientific Computing, Vol.17, Nos 1-4, 2002, pp.117-142. doi:10.1023/A:1015192312705
    • (2002) Journal of Scientific Computing , vol.17 , Issue.1-4 , pp. 117-142
    • Demkowicz, L.1    Rachowicz, W.2    Devloo, P.3
  • 93
    • 0038264423 scopus 로고    scopus 로고
    • Duality-based adaptivity in thehp-finite element method
    • doi:10.1515/156939503766614126
    • Heuveline, V., and Rannacher, R., "Duality-Based Adaptivity in thehp-Finite Element Method, " Journal of Numerical Mathematics, Vol.11, No.2, 2003, pp.95-113. doi:10.1515/156939503766614126
    • (2003) Journal of Numerical Mathematics , vol.11 , Issue.2 , pp. 95-113
    • Heuveline, V.1    Rannacher, R.2
  • 94
    • 0141575485 scopus 로고    scopus 로고
    • Applications of Lobatto polynomials to an adaptive finite element method: A posteriori error estimates for HP-Adaptivity and Grid-to-Grid Interpolation
    • DOI 10.1007/s00211-002-0424-y
    • Moore, P. K., "Applications of Lobatto Polynomials to an AdaptiveFinite ElementMethod: a Posteriori Error Estimates for hp-Adaptivityand Grid-to-Grid Interpolation, " Numerische Mathematik, Vol.94, No.2, 2003, pp. 367-401. doi:10.1007/s00211-002-0424-y (Pubitemid 37282723)
    • (2003) Numerische Mathematik , vol.94 , Issue.2 , pp. 367-401
    • Moore, P.K.1
  • 95
    • 33645905045 scopus 로고    scopus 로고
    • Sobolev regularity estimationfor hp-adaptive finite element methods
    • edited by F. Brezzi, A. Buffa, S. Corsaro, and A. Murli, Springer-Verlag, New York
    • Houston, P., Senior, B., and Süli, E., "Sobolev Regularity Estimationfor hp-Adaptive Finite Element Methods, " Numerical Mathematicsand Advanced Applications, edited by F. Brezzi, A. Buffa, S. Corsaro, and A. Murli, Springer-Verlag, New York, 2003, pp. 619-644.
    • (2003) Numerical Mathematicsand Advanced Applications , pp. 619-644
    • Houston, P.1    Senior, B.2    Süli, E.3
  • 96
    • 10444252655 scopus 로고    scopus 로고
    • A note on the design of hp-adaptive finite element methods for elliptic partial differential equations
    • DOI 10.1016/j.cma.2004.04.009, PII S0045782504003305
    • Houston, P., and Süli, E., "ANote on theDesign of hp-Adaptive FiniteElement Methods for Elliptic Partial Differential Equations, " Computer Methods in Applied Mechanics and Engineering, Vol.194, Nos.2-5, 2005, pp.229-243. doi:10.1016/j.cma.2004.04.009 (Pubitemid 39637480)
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , Issue.2-5 SPEC. ISS. , pp. 229-243
    • Houston, P.1    Suli, E.2
  • 97
    • 0022045761 scopus 로고
    • AUTOMATIC ADAPTIVE GRID REFINEMENT FOR THE EULER EQUATIONS.
    • Berger, M., and Jameson, A., "Automatic Adaptive Grid Refinementfor the Euler Equations, " AIAA Journal, Vol.23, No. 4, 1985, pp. 561-568. doi:10.2514/3.8951 (Pubitemid 15466300)
    • (1985) AIAA journal , vol.23 , Issue.4 , pp. 561-568
    • Berger Marsha, J.1    Jameson Antony2
  • 98
    • 0003650702 scopus 로고
    • Unstructured mesh generation and adaptivity
    • VKI LectureSeries, AGARD, Rhode-St-GenŠse, Belgium
    • Mavriplis, D. J., "Unstructured Mesh Generation and Adaptivity, " 26th Computational Fluid Dynamics Lecture Series, VKI LectureSeries, Vol.1995-2, AGARD, Rhode-St-GenŠse, Belgium, 1995.
    • (1995) 26th Computational Fluid Dynamics Lecture Series , vol.1995 , Issue.2
    • Mavriplis, D.J.1
  • 99
    • 0031126935 scopus 로고    scopus 로고
    • Mesh adaptation strategies for problems in fluiddynamics
    • doi:10.1016/S0168-74X(96)00032-7
    • Baker, T. J., "Mesh Adaptation Strategies for Problems in FluidDynamics, " Finite Elements in Analysis and Design, Vol.25, Nos. 3-4, 1997, pp.243-273. doi:10.1016/S0168-74X(96)00032-7
    • (1997) Finite Elements in Analysis and Design , vol.25 , Issue.3-4 , pp. 243-273
    • Baker, T.J.1
  • 100
    • 0034730340 scopus 로고    scopus 로고
    • R-refinement grid adaptation algorithms andissues
    • doi:10.1016/S0045-7825(99)00372-2
    • McRae, D. S., "r-Refinement Grid Adaptation Algorithms andIssues, " Computer Methods in Applied Mechanics and Engineering, Vol.189, No. 4, 2000, pp.1161-1182. doi:10.1016/S0045-7825(99)00372-2
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.189 , Issue.4 , pp. 1161-1182
    • McRae, D.S.1
  • 101
    • 0043123007 scopus 로고    scopus 로고
    • Adaptivemesh generation
    • edited byT. Barth, and H. Deconinck, Lecture Notes in ComputationalScience and Engineering, Springer-Verlag, Heidelberg
    • Bern, M., "Adaptivemesh generation, " Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics, edited byT. Barth, and H. Deconinck, Vol.25, Lecture Notes in ComputationalScience and Engineering, Springer-Verlag, Heidelberg, 2002, pp.1-46.
    • (2002) Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics , vol.25 , pp. 1-46
    • Bern, M.1
  • 102
    • 31244438495 scopus 로고    scopus 로고
    • Delaunay refinement algorithms for triangular mesh generation
    • DOI 10.1016/S0925-7721(01)00047-5, PII S0925772101000475
    • Shewchuk, J., "Delaunay Refinement Algorithms for Triangular Mesh Generation, " Computational Geometry: Theory and Applications, Vol.22, Nos.1-3, 2002, pp.21-74. doi:10.1016/S0925-7721(01)00047-5 (Pubitemid 34286924)
    • (2002) Computational Geometry: Theory and Applications , vol.22 , Issue.1-3
    • Shewchuk, J.R.1
  • 103
    • 0032694896 scopus 로고    scopus 로고
    • New approaches to error estimation and adaptivity for the Stokes and Oseen equations
    • DOI 10.1002/(SICI)1097-0363(19990915)31:1<3::AID-FLD952>3.0.CO;2-B
    • Oden, J., and Prudhomme, S., "New Approaches to Error Estimationand Adaptivity for the Stokes and Oseen Equations, " International Journal for Numerical Methods in Fluids, Vol. 31, No.1, 1999, pp. 3-15. doi:10.1002/(SICI) 1097-0363(19990915)31:1<3::AID-FLD952>3.0.CO;2-B (Pubitemid 29492742)
    • (1999) International Journal for Numerical Methods in Fluids , vol.31 , Issue.1 , pp. 3-15
    • Oden, J.T.1    Prudhomme, S.2
  • 104
    • 0000909646 scopus 로고    scopus 로고
    • Edge residuals dominate a posteriori error estimates for low order finite element methods
    • PII S003614299732334X
    • Carstensen, C., and Verfürth, R., "Edge Residuals Dominate aPosteriori Error Estimates for Low Order Finite Element Methods, " SIAMJournal on Numerical Analysis, Vol. 36, No. 5, 1999, pp.1571-1587. doi:10.1137/S003614299732334X (Pubitemid 129568024)
    • (1999) SIAM Journal on Numerical Analysis , vol.36 , Issue.5 , pp. 1571-1587
    • Carstensen, C.1    Verfurth, R.2
  • 105
    • 0001827481 scopus 로고    scopus 로고
    • A Cartesian Grid Embedded Boundary Method for Poisson's Equation on Irregular Domains
    • DOI 10.1006/jcph.1998.5965, PII S0021999198959654
    • Johansen, H., and Colella, P., "ACartesian Grid Embedded Boundary Method for Poisson's Equation on Irregular Domains, " Journal ofComputational Physics, Vol.147, No.1, 1998, pp. 60-85. doi:10.1006/jcph.1998. 5965 (Pubitemid 128344812)
    • (1998) Journal of Computational Physics , vol.147 , Issue.1 , pp. 60-85
    • Johansen, H.1    Colella, P.2
  • 106
    • 10444248644 scopus 로고    scopus 로고
    • Mesh adaptation strategies for discontinuous galerkin methods applied to reactive transport problems
    • edited by H. W. Chu, M. Savoie, and B. Sanchez, Aug
    • Sun, S., and Wheeler, M., "Mesh Adaptation Strategies for Discontinuous Galerkin Methods Applied to Reactive Transport Problems, " International Conference on Computing, Communicationand Control Technologies, Vol.1, edited by H. W. Chu, M. Savoie, and B. Sanchez, Aug. 2004, pp.223-228.
    • (2004) International Conference on Computing Communicationand Control Technologies , vol.1 , pp. 223-228
    • Sun, S.1    Wheeler, M.2
  • 107
    • 0031277193 scopus 로고    scopus 로고
    • Tetrahedral mesh improvement using swapping and smoothing
    • Freitag, L. A., and Ollivier-Gooch, C., "Tetrahedral MeshImprovement Using Swapping and Smoothing, " InternationalJournal for Numerical Methods in Engineering, Vol. 40, No.21, 1997, pp. 3979-4002. doi:10.1002/(SICI)1097- 0207(19971115)40:21<3979::AID-NME251>3.0.CO;2-9 (Pubitemid 127571821)
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , Issue.21 , pp. 3979-4002
    • Freitag, L.A.1    Ollivier-Gooch, C.2
  • 108
    • 0031274209 scopus 로고    scopus 로고
    • Anisotropic mesh optimization and its application in adaptivity
    • Buscaglia, G. C., and Dari, E. A., "Anisotropic Mesh Optimization and its Application in Adaptivity, " International Journal for Numerical Methods in Engineering, Vol. 40, No.22, Nov. 1997, pp. 4119-4136. doi:10.1002/(SICI)1097-0207(19971130)40:22<4119::AID-NME254>3.0.CO;2-R (Pubitemid 127571828)
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , Issue.22 , pp. 4119-4136
    • Buscaglia, G.C.1    Dari, E.A.2
  • 109
    • 0031205553 scopus 로고    scopus 로고
    • Anisotropic unstructured mesh adaption for flow simulations
    • DOI 10.1002/(SICI)1097-0363(19970830)25:4<475::AID-FLD575>3.0.CO;2- 6
    • Castro-Diaz, M. J., Hecht, F., Mohammadi, B., and Pironneau, O., " Anisotropic Unstructured Mesh Adaptation for Flow Simulations, " International Journal forNumericalMethods in Fluids, Vol.25, No. 4, 1997, pp. 475-491. doi:10.1002/(SICI)1097-0363(19970830)25:4<475::AID-FLD575>3.0. CO;2-6 (Pubitemid 28002313)
    • (1997) International Journal for Numerical Methods in Fluids , vol.25 , Issue.4 , pp. 475-491
    • Castro-Diaz, M.J.1    Hecht, F.2    Mohammadi, B.3    Pironneau, O.4
  • 110
    • 84888822761 scopus 로고    scopus 로고
    • On multidimensional unstructuredmesh adaptation
    • Wood, W. A., and Kleb, W. L., "On Multidimensional UnstructuredMesh Adaptation, " AIAA Paper 99-3254, 1999.
    • (1999) AIAA Paper 99-3254
    • Wood, W.A.1    Kleb, W.L.2
  • 111
    • 0034161524 scopus 로고    scopus 로고
    • Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD. Part I: General principles
    • DOI 10.1002/(SICI)1097-0363(20000330)32:6<725::AID-FLD935>3.0.CO;2- 4
    • Habashi, W. G., Dompierre, J., Bourgault, Y., Ait-Ali-Yahia, D., Fortin, M., andVallet, M. -G., "Anisotropic Mesh Adaptation: Towards User-Independent, Mesh-Independent and Solver-Independent CFD. Part I: General Principles, " International Journal for Numerical Methods in Fluids, Vol. 32, No. 6, 2000, pp. 725-744. doi:10.1002/(SICI)1097-0363(20000330)32:6<725:: AID-FLD935>3.0.CO;2-4 (Pubitemid 30221825)
    • (2000) International Journal for Numerical Methods in Fluids , vol.32 , Issue.6 , pp. 725-744
    • Habashi, W.G.1    Dompierre, J.2    Bourgault, Y.3    Ait-Ali-Yahia, D.4    Fortin, M.5    Vallet, M.-G.6
  • 112
    • 79953083261 scopus 로고    scopus 로고
    • Anisotropic grid adaptation onunstructured meshes
    • Xia, G., Li, D., and Merkle, C. L., "Anisotropic Grid Adaptation onUnstructured Meshes, " AIAA Paper 2001-0443, 2001.
    • (2001) AIAA Paper 2001-0443
    • Xia, G.1    Li, D.2    Merkle, C.L.3
  • 113
    • 0001686840 scopus 로고
    • Adaptive mesh generation for viscous flows using delaunay triangulation
    • doi:10.1016/0021-9991(90)90167-Y
    • Mavriplis, D. J., "Adaptive Mesh Generation for Viscous Flows Using Delaunay Triangulation, " Journal of Computational Physics, Vol.90, No.2, 1990, pp.271-291. doi:10.1016/0021-9991(90)90167-Y
    • (1990) Journal of Computational Physics , vol.90 , Issue.2 , pp. 271-291
    • Mavriplis, D.J.1
  • 114
    • 0345202252 scopus 로고
    • Mailleur bidimensionnel de delaunay gouverné par une carte demétriques. Partie i: Algorithmes
    • France
    • Borouchaki, H., George, P., Hecht, F., Laug, P., and Saltel, E., " Mailleur Bidimensionnel de Delaunay Gouverné Par Une Carte deMétriques. Partie I: Algorithmes, " INRIA-Rocquencourt, Tech Rept. No.2741, France, 1995.
    • (1995) INRIA-rocquencourt Tech Rept. , Issue.2741
    • Borouchaki, H.1    George, P.2    Hecht, F.3    Laug, P.4    Saltel, E.5
  • 115
    • 0004322654 scopus 로고    scopus 로고
    • Institut National de Recherche en Informatique et en Automatique, Rocquencourt, France
    • Hecht, F., "BAMG: Bidimensional Anisotropic Mesh Generator, " Institut National de Recherche en Informatique et en Automatique, Rocquencourt, France, 1998.
    • (1998) BAMG Bidimensional Anisotropic Mesh Generator
    • Hecht, F.1
  • 117
    • 35649027839 scopus 로고    scopus 로고
    • An adaptive simplex cut-cell method for discontinuous galerkin discretizations of the navier-stokes equations
    • Fidkowski, K. J., and Darmofal, D. L., "An Adaptive Simplex Cut-Cell Method for Discontinuous Galerkin Discretizations of the Navier-Stokes Equations, " AIAA Paper 2007-3941, 2007.
    • (2007) AIAA Paper 2007-3941
    • Fidkowski, K.J.1    Darmofal, D.L.2
  • 118
    • 85087603641 scopus 로고    scopus 로고
    • Multilevel error estimation andadaptive h-refinement for cartesian meshes with embedded boundaries
    • Aftosmis, M., and Berger, M., "Multilevel Error Estimation andAdaptive h-Refinement for Cartesian Meshes with Embedded Boundaries, " AIAA Paper 2002-14322, 2002.
    • (2002) AIAA Paper 2002-14322
    • Aftosmis, M.1    Berger, M.2
  • 120
    • 0030530686 scopus 로고    scopus 로고
    • An a posteriori error estimator for anisotropic refinement
    • DOI 10.1007/s002110050197
    • Siebert, K. G., "An a Posteriori Error Estimator for AnisotropicRefinement, " Numerische Mathematik, Vol. 73, No. 3, 1996, pp. 373-398. doi:10.1007/s002110050197 (Pubitemid 126067450)
    • (1996) Numerische Mathematik , vol.73 , Issue.3 , pp. 373-398
    • Siebert, K.G.1
  • 121
    • 79953120750 scopus 로고    scopus 로고
    • Anisotropic and dynamic mesh adaptation for discontinuous galerkin methods applied to reactivetransport
    • Sun, S., and Wheeler, M. F., "Anisotropic and Dynamic Mesh Adaptation for Discontinuous Galerkin Methods Applied to ReactiveTransport, " ICES Tech. Rept. 05-15, 2005.
    • (2005) ICES Tech. Rept. 05-15
    • Sun, S.1    Wheeler, M.F.2
  • 123
    • 45949113136 scopus 로고
    • Adaptive remeshing for compressible flow computations
    • doi:10.1016/0021-9991(87)90093-3
    • Peraire, J., Vahdati, M., Morgan, K., and Zienkiewicz, O. C., " Adaptive Remeshing for Compressible Flow Computations, " Journalof Computational Physics, Vol. 72, No.2, 1987, pp. 449-466. doi:10.1016/0021- 9991(87)90093-3
    • (1987) Journalof Computational Physics , vol.72 , Issue.2 , pp. 449-466
    • Peraire, J.1    Vahdati, M.2    Morgan, K.3    Zienkiewicz, O.C.4
  • 124
    • 67349172175 scopus 로고    scopus 로고
    • A generalized framework for high order anisotropic mesh adaptation
    • doi:10.1016/j.compstruc.2008.11.008
    • Pagnutti, D., and Ollivier-Gooch, C., "A Generalized Framework for High Order Anisotropic Mesh Adaptation, " Computers and Structures, Vol. 87, Nos.11-12, 2009, pp. 670-679. doi:10.1016/j.compstruc.2008.11.008
    • (2009) Computers and Structures , vol.87 , Issue.11-12 , pp. 670-679
    • Pagnutti, D.1    Ollivier-Gooch, C.2
  • 125
    • 41449114228 scopus 로고    scopus 로고
    • Anisotropic mesh refinement for discontinuous Galerkin methods in two-dimensional aerodynamic flow simulations
    • DOI 10.1002/fld.1608
    • Leicht, T., and Hartmann, R., "Anisotropic Mesh Refinement for Discontinuous Galerkin Methods in Two-Dimensional Aerodynamic Flow Simulations, " International Journal for Numerical Methods in Fluids, Vol. 56, No.11, 2008, pp.2111-2138. doi:10.002/fld.1608 (Pubitemid 351454596)
    • (2008) International Journal for Numerical Methods in Fluids , vol.56 , Issue.11 , pp. 2111-2138
    • Leicht, T.1    Hartmann, R.2
  • 126
    • 78649363469 scopus 로고    scopus 로고
    • Curved mesh generation and meshrefinement using lagrangian solid mechanics
    • Persson, P.-O., and Peraire, J., "Curved Mesh Generation and MeshRefinement Using Lagrangian Solid Mechanics, " AIAA Paper 2009-0949, 2009.
    • (2009) AIAA Paper 2009-0949
    • Persson, P.-O.1    Peraire, J.2
  • 127
    • 0037143105 scopus 로고    scopus 로고
    • Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD. Part II. Structured grids
    • DOI 10.1002/fld.356
    • Ait-Ali-Yahia, D., Baruzzi, G., Habashi, W. G., Fortin, M., Dompierre, J., and Vallet, M. -G., "Anisotropic Mesh Adaptation: Towards User-Independent, Mesh-Independent and Solver-Independent CFD. Part II: Structured Grids, " International Journal for Numerical Methods in Fluids, Vol. 39, No. 8, 2002, pp. 657-673. doi:10.1002/fld.356 (Pubitemid 34714635)
    • (2002) International Journal for Numerical Methods in Fluids , vol.39 , Issue.8 , pp. 657-673
    • Ait-Ali-Yahia, D.1    Baruzzi, G.2    Habashi, W.G.3    Fortin, M.4    Dompierre, J.5    Vallet, M.-G.6
  • 128
    • 0037143094 scopus 로고    scopus 로고
    • Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD. Part III. Unstructured meshes
    • DOI 10.1002/fld.357
    • Dompierre, J., Vallet, M. -G., Bourgault, Y., Fortin, M., and Habashi, W. G., "Anisotropic Mesh Adaptation: Towards User-Independent, Mesh-Independent and Solver-Independent CFD. Part III: Unstruc-tured Meshes, " International Journal for Numerical Methods in Fluids, Vol. 39, No. 8, 2002, pp. 675-702. doi:10.1002/fld. 357 (Pubitemid 34714636)
    • (2002) International Journal for Numerical Methods in Fluids , vol.39 , Issue.8 , pp. 675-702
    • Dompierre, J.1    Vallet, M.-G.2    Bourgault, Y.3    Fortin, M.4    Habashi, W.G.5
  • 129
    • 0037849049 scopus 로고    scopus 로고
    • An anisotropic aposteriori error estimate for a convection-diffusion problem
    • doi:10.1007/s007910100061
    • Formaggia, L., Perotto, S., and Zunino, P., "An Anisotropic aPosteriori Error Estimate for a Convection-Diffusion Problem, " Computing and Visualization in Science, Vol. 4, No.2, 2001, pp.99-104. doi:10.1007/s007910100061
    • (2001) Computing and Visualization in Science , vol.4 , Issue.2 , pp. 99-104
    • Formaggia, L.1    Perotto, S.2    Zunino, P.3
  • 130
    • 78649468088 scopus 로고    scopus 로고
    • Anisotropic meshadaptation with applications to CFD problems
    • edited by H. A. Mang, F. G. Rammerstorfer, and J. Eberhardsteiner, Vienna, Austria, July
    • Formaggia, L., Micheletti, S., and Perotto, S., "Anisotropic MeshAdaptation with Applications to CFD Problems, " Fifth WorldCongress on Computational Mechanics, edited by H. A. Mang, F. G. Rammerstorfer, and J. Eberhardsteiner, Vienna, Austria, July 2002.
    • (2002) Fifth WorldCongress on Computational Mechanics
    • Formaggia, L.1    Micheletti, S.2    Perotto, S.3
  • 131
    • 0035602908 scopus 로고    scopus 로고
    • New anisotropic a priori errorestimates
    • Formaggia, L., and Perotto, S., "New Anisotropic a Priori ErrorEstimates, " Numerische Mathematik, Vol. 89, No. 4, 2001, pp. 641-667.
    • (2001) Numerische Mathematik , vol.89 , Issue.4 , pp. 641-667
    • Formaggia, L.1    Perotto, S.2
  • 132
    • 77950253851 scopus 로고    scopus 로고
    • A posteriori error estimation and anisotropy detectionwith the dual-weighted residual method
    • doi:10.1002/fld.2016
    • Richter, T., "A Posteriori Error Estimation and Anisotropy Detectionwith the Dual-Weighted Residual Method, " International Journal for Numerical Methods in Fluids, Vol. 62, No.1, 2010, pp.90-118. doi:10.1002/fld.2016
    • (2010) International Journal for Numerical Methods in Fluids , vol.62 , Issue.1 , pp. 90-118
    • Richter, T.1
  • 134
  • 135
    • 78649846108 scopus 로고    scopus 로고
    • Adaptivity and aposteriori error estimation for dg methods on anisotropic meshes
    • edited byG. Lube and G. Rapin, Computational and Asymptotic Methods, Gottingham, Germany
    • Houston, P., Georgoulis, E. H., and Hall, E., "Adaptivity and aPosteriori Error Estimation for DG Methods on Anisotropic Meshes, " International Conference on Boundary and Interior Layers, edited byG. Lube and G. Rapin, Computational and Asymptotic Methods, Gottingham, Germany, 2006.
    • (2006) International Conference on Boundary and Interior Layers
    • Houston, P.1    Georgoulis, E.H.2    Hall, E.3
  • 136
    • 78649851069 scopus 로고    scopus 로고
    • Output-driven anisotropic mesh adaptation for viscous flows using discrete choice optimization
    • Ceze, M. A., and Fidkowski, K. J., "Output-Driven Anisotropic Mesh Adaptation for Viscous Flows Using Discrete Choice Optimization, " AIAA Paper 2010-0170, 2010.
    • (2010) AIAA Paper 2010-0170
    • Ceze, M.A.1    Fidkowski, K.J.2
  • 137
    • 0018547184 scopus 로고
    • Prediction of critical mach number for store configurations
    • doi:10.2514/3.7617
    • Purvis, J. W., and Burkhalter, J. E., "Prediction of Critical Mach Number for Store Configurations, " AIAA Journal, Vol.17, No.11, 1979, pp.1170-1177. doi:10.2514/3.7617
    • (1979) AIAA Journal , vol.17 , Issue.11 , pp. 1170-1177
    • Purvis, J.W.1    Burkhalter, J.E.2
  • 138
    • 0342539337 scopus 로고
    • A method for solving thetransonic full-potential equation for general configurations
    • Wedan, B., and South, J. C., "A Method for Solving theTransonic Full-Potential Equation for General Configurations, " AIAA Paper 1983-1889, 1983.
    • (1983) AIAA Paper 1983-1889
    • Wedan, B.1    South, J.C.2
  • 139
    • 0022686198 scopus 로고
    • Euler calculations formultielement airfoils using cartesian grids
    • doi:10.2514/3.9273
    • Clarke, D. K., Salas, M. D., andHassan, H. A., "Euler Calculations forMultielement Airfoils Using Cartesian Grids, " AIAA Journal, Vol.24, No. 3, 1986, p. 353. doi:10.2514/3.9273
    • (1986) AIAA Journal , vol.24 , Issue.3 , pp. 353
    • Clarke, D.K.1    Salas, M.D.2    Hassan, H.A.3
  • 140
    • 28144436430 scopus 로고
    • An adaptively refined cartesian mesh solver for the euler equations
    • doi:10.1006/jcph.1993.1007
    • De Zeeuw, D., and Powell, K. G., "An Adaptively Refined Cartesian Mesh Solver for the Euler Equations, " Journal of Computational Physics, Vol.104, No.1, 1993, pp. 56-68. doi:10.1006/jcph.1993.1007
    • (1993) Journal of Computational Physics , vol.104 , Issue.1 , pp. 56-68
    • De Zeeuw, D.1    Powell, K.G.2
  • 141
    • 0029656933 scopus 로고    scopus 로고
    • Solution-adaptive Cartesian cell approach for viscous and inviscid flows
    • Coirier, W. J., and Powell, K. G., "Solution-Adaptive Cut-CellApproach for Viscous and Inviscid Flows, " AIAA Journal, Vol. 34, No. 5, 1996, pp.938-945. doi:10.2514/3.13171 (Pubitemid 126511030)
    • (1996) AIAA Journal , vol.34 , Issue.5 , pp. 938-945
    • Coirier, W.J.1    Powell, K.G.2
  • 144
    • 0042094022 scopus 로고
    • Spitflow: A 3d unstructured cartesian/prismaticgrid CFD code for complex geometries
    • Karman, S. L., "SPITFLOW: A 3D Unstructured Cartesian/PrismaticGrid CFD Code for Complex Geometries, " AIAA Paper 1995-0343, 1995.
    • (1995) AIAA Paper 1995-0343
    • Karman, S.L.1
  • 145
    • 34250810868 scopus 로고    scopus 로고
    • Comparison of body-fitted, embedded, and immersed solutions of low-reynoldsnumber 3-d incompressible flows
    • Löhner, R., Appanaboyina, S., and Cebral, J. R., "Comparison of Body-Fitted, Embedded, and Immersed Solutions of Low-ReynoldsNumber 3-D Incompressible Flows, " AIAA Paper 2007-1296, 2007.
    • (2007) AIAA Paper 2007-1296
    • Löhner, R.1    Appanaboyina, S.2    Cebral, J.R.3
  • 149
    • 84994287636 scopus 로고    scopus 로고
    • Symmetric interior penalty dgmethods for the compressible navier-stokes equations ii: Goal-oriented a posteriori error estimation
    • Hartmann, R., and Houston, P., "Symmetric Interior Penalty DGMethods for the Compressible Navier-Stokes Equations II: Goal-Oriented a Posteriori Error Estimation, " International Journal ofNumerical Analysis and Modeling, Vol. 3, No.2, 2006, pp.141-162.
    • (2006) International Journal OfNumerical Analysis and Modeling , vol.3 , Issue.2 , pp. 141-162
    • Hartmann, R.1    Houston, P.2
  • 150
    • 33746172571 scopus 로고    scopus 로고
    • Adaptive discontinuous Galerkin methods with shock-capturing for the compressible Navier-Strokes equations
    • DOI 10.1002/fld.1134
    • Hartmann, R., "Adaptive Discontinuous Galerkin Methods with Shock-Capturing for the Compressible Navier-Stokes Equations, " International Journal for Numerical Methods in Fluids, Vol. 51, No.9-10, 2006, pp.1131-1156. doi:10.1002/fld.1134 (Pubitemid 44082331)
    • (2006) International Journal for Numerical Methods in Fluids , vol.51 , Issue.9-10 , pp. 1131-1156
    • Hartmann, R.1
  • 151
    • 35648995851 scopus 로고    scopus 로고
    • Shock capturing with higher-order, PDE-based artificial viscosity
    • Barter, G., and Darmofal, D., "Shock Capturing with Higher-Order, PDE-Based Artificial Viscosity, " AIAA Paper 2007-3823, 2007.
    • (2007) AIAA Paper 2007-3823
    • Barter, G.1    Darmofal, D.2
  • 152
    • 84897585644 scopus 로고    scopus 로고
    • Computational aerothermo dynamic simulation issues for unstructured grids
    • Gnoffo, P. A., andWhite, J. A., "Computational Aerothermo dynamic Simulation Issues for Unstructured Grids, " AIAA Paper 2004-2371, 2004.
    • (2004) AIAA Paper 2004-2371
    • Gnoffo, P.A.1    White, J.A.2
  • 154
    • 79953089824 scopus 로고    scopus 로고
    • Tetgen: A quality tetrahedral mesh generator and three-dimensional delaunay triangulator
    • Weierstrass Inst. for Applied Analysisand Stochastics, Berlin, Germany
    • Si, H., "Tetgen: A Quality Tetrahedral Mesh Generator and Three-Dimensional Delaunay Triangulator, " Weierstrass Inst. for AppliedAnalysis and Stochastics, 2005, Weierstrass Inst. for Applied Analysisand Stochastics, Berlin, Germany, http://tetgen.berlios.de.
    • (2005) Weierstrass Inst. for AppliedAnalysis and Stochastics
    • Si, H.1
  • 155
    • 0031443748 scopus 로고    scopus 로고
    • A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
    • DOI 10.1016/S0045-7825(97)00086-8
    • Paraschivoiu, M., Peraire, J., and Patera, A., "A Posteriori Finite Element Bounds for Linear Functional Outputs of Elliptic Partial Differential Equations, " Computer Methods in Applied Mechanics and Engineering, Vol.150, Nos.1-4, 1997, pp.289-312. doi:10.1016/S0045-7825(97)00086-8 (Pubitemid 28038626)
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.150 , Issue.1-4 , pp. 289-312
    • Paraschivoiu, M.1    Peraire, J.2    Patera, A.T.3
  • 156
    • 0035922230 scopus 로고    scopus 로고
    • A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem
    • DOI 10.1006/jcph.2001.6769
    • Machiels, L., Peraire, J., and Patera, A., "A Posteriori Finite-ElementOutput Bounds for the Incompressible Navier-Stokes Equations:Application to a Natural Convection Problem, " Journal of Computational Physics, Vol.172, No.2, 2001, pp. 401-425. doi:10.1006/jcph.2001. 6769 (Pubitemid 33082547)
    • (2001) Journal of Computational Physics , vol.172 , Issue.2 , pp. 401-425
    • Machiels, L.1    Peraire, J.2    Patera, A.T.3
  • 157
    • 16244368476 scopus 로고    scopus 로고
    • Computing bounds for linearfunctionals of exact weak solutions to the advection-diffusion-reaction equation
    • doi:10.1137/S1064827503427121
    • Sauer-Budge, A., and Peraire, J., "Computing Bounds for LinearFunctionals of Exact Weak Solutions to the Advection-Diffusion-Reaction Equation, " SIAM Journal on Scientific Computing, Vol.26, No.2, 2004, pp. 636-652. doi:10.1137/S1064827503427121
    • (2004) SIAM Journal on Scientific Computing , vol.26 , Issue.2 , pp. 636-652
    • Sauer-Budge, A.1    Peraire, J.2
  • 158
    • 27744563713 scopus 로고    scopus 로고
    • Computing upper and lower bounds for the J-integral in two-dimensional linear elasticity
    • DOI 10.1016/j.cma.2004.12.031, PII S0045782505000940, Adaptive Modeling and Simulation
    • Xuan, Z., Pares, N., and Peraire, J., "Computing Upper and Lower Bounds for the J-Integral in Two-Dimensional Linear Elasticity, " Computer Methods in Applied Mechanics and Engineering, Vol.195, Nos. 4-6, 2006, pp. 430-443. doi:10.1016/j.cma.2004.12.031 (Pubitemid 41614259)
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.4-6 , pp. 430-443
    • Xuan, Z.C.1    Pares, N.2    Peraire, J.3
  • 159
    • 27744567137 scopus 로고    scopus 로고
    • The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations
    • DOI 10.1016/j.cma.2004.10.013, PII S0045782505000939, Adaptive Modeling and Simulation
    • Parés, N., Bonet, J., Huerta, A., and Peraire, J., "The Computation of Bounds for Linear-Functional Outputs ofWeak Solutions to the Two-Dimensional Elasticity Equations, " Computer Methods in Applied Mechanics and Engineering, Vol.195, Nos. 4-6, 2006, pp. 406-429. doi:10.1016/j.cma.2004.10.013 (Pubitemid 41614258)
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.4-6 , pp. 406-429
    • Pares, N.1    Bonet, J.2    Huerta, A.3    Peraire, J.4
  • 160
    • 0032693260 scopus 로고    scopus 로고
    • A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation
    • DOI 10.1002/(SICI)1097-0363(19990915)31:1<17::AID-FLD953>3.0.CO;2-X
    • Sarrate, J., Peraire, J., and Patera, A., "A Posteriori Finite ElementError Bounds for Nonlinear Outputs of the Helmholtz Equation, " International Journal for Numerical Methods in Fluids, Vol. 31, No.1, 1999, pp.17-36. doi:10.1002/(SICI)1097-0363(19990915)31:1<17::AID-FLD953>3.0. CO;2-X (Pubitemid 29492743)
    • (1999) International Journal for Numerical Methods in Fluids , vol.31 , Issue.1 , pp. 17-36
    • Sarrate, J.1    Peraire, J.2    Patera, A.3
  • 161
    • 85087192693 scopus 로고    scopus 로고
    • Implicit a posteriori bounds for discontinuous galerkin methods
    • Wong, J., and Peraire, J., "Implicit a Posteriori Bounds for Discontinuous Galerkin Methods, " AIAA Paper 2003-3844, 2003.
    • (2003) AIAA Paper 2003-3844
    • Wong, J.1    Peraire, J.2
  • 162
    • 34250723440 scopus 로고    scopus 로고
    • Mesh adaptation criteria for unsteady periodic flows using a discrete adjoint time-spectral formulation
    • Lee, K. -H., Alonso, J. J., and van der Weide, E., "Mesh Adaptation Criteria for Unsteady Periodic Flows Using a Discrete Adjoint Time-Spectral Formulation, " AIAA Paper 2006-692, 2006.
    • (2006) AIAA Paper 2006-692
    • Lee, K.-H.1    Alonso, J.J.2    Van Der Weide, E.3
  • 163
    • 36348935612 scopus 로고    scopus 로고
    • Optimum shape design for unsteady three-dimensional viscous flows using a nonlinear frequency-domain method
    • DOI 10.2514/1.27601
    • Nadarajah, S. K., and Jameson, A., "Optimum Shape Design forUnsteady Three-Dimensional Viscous Flows Using a Nonlinear Frequency-Domain Method, " Journal of Aircraft, Vol. 44, No. 5, 2007, pp.1513-1527. doi:10.2514/1.27601 (Pubitemid 350153487)
    • (2007) Journal of Aircraft , vol.44 , Issue.5 , pp. 1513-1527
    • Nadarajah, S.K.1    Jameson, A.2
  • 164
    • 34547575278 scopus 로고    scopus 로고
    • Optimum shape design for unsteady flows with time-accurate continuous and discrete adjoint methods
    • DOI 10.2514/1.24332
    • Nadarajah, S. K., and Jameson, A., "Optimum Shape Design forUnsteady Flowswith Time-Accurate Continuous and Discrete Adjoint Methods, " AIAA Journal, Vol. 45, No. 7, 2007, pp.1478-1491. doi:10.2514/1.24332 (Pubitemid 47191227)
    • (2007) AIAA Journal , vol.45 , Issue.7 , pp. 1478-1491
    • Nadarajah, S.K.1    Jameson, A.2
  • 165
    • 84891456385 scopus 로고    scopus 로고
    • Optimal control of unsteady flows using a time accurate method
    • Nadarajah, S. K., and Jameson, A., "Optimal Control of Unsteady Flows Using a Time Accurate Method, " AIAA Paper 2002-5436, 2002.
    • (2002) AIAA Paper 2002-5436
    • Nadarajah, S.K.1    Jameson, A.2
  • 166
    • 34347206790 scopus 로고    scopus 로고
    • A general framework for theoptimal control of unsteady flows with applications
    • Rumpfkeil, M. P., and Zingg, D. W., "A General Framework for theOptimal Control of Unsteady Flows with Applications, " AIAAPaper 2007-1128, 2007.
    • (2007) AIAAPaper 2007-1128
    • Rumpfkeil, M.P.1    Zingg, D.W.2
  • 167
    • 35649019135 scopus 로고    scopus 로고
    • Discrete adjoint based time-step adaptation and error reduction in unsteady flow problems
    • Mani, K., and Mavriplis, D. J., "Discrete Adjoint Based Time-Step Adaptation and Error Reduction in Unsteady Flow Problems, " AIAAPaper 2007-3944, 2007.
    • (2007) AIAAPaper 2007-3944
    • Mani, K.1    Mavriplis, D.J.2
  • 168
    • 34250827986 scopus 로고    scopus 로고
    • An unsteady discrete adjoint formulation for two-dimensional flow problems with deforming meshes
    • Mani, K., and Mavriplis, D. J., "An Unsteady Discrete Adjoint Formulation for Two-Dimensional Flow Problems with Deforming Meshes, " AIAA Paper 2007-60, 2007.
    • (2007) AIAA Paper 2007-60
    • Mani, K.1    Mavriplis, D.J.2
  • 169
    • 34250818795 scopus 로고    scopus 로고
    • Statistical analysis of CFD solutions from the third aiaa drag prediction workshop
    • Morrison, J. H., and Hemsch, M. J., "Statistical Analysis of CFD Solutions from the Third AIAA Drag Prediction Workshop, " AIAA Paper 2007-254, 2007.
    • (2007) AIAA Paper 2007-254
    • Morrison, J.H.1    Hemsch, M.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.