메뉴 건너뛰기




Volumn , Issue , 2002, Pages 1-692

Mesh free methods: Moving beyond the finite element method

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84869829654     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book
Times cited : (2021)

References (223)
  • 4
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov–Galerkin (MLPG) approach in computational mechanics
    • Atluri, S. N. and Zhu, T., A new meshless local Petrov–Galerkin (MLPG) approach in computational mechanics, Comput. Mech., 22, 117–127, 1998.
    • (1998) Comput. Mech. , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 5
    • 0033353654 scopus 로고    scopus 로고
    • Analysis of thin beams, using the meshless local Petrov–Galerkin method, with generalized moving least squares interpolations
    • Atluri, S. N., Cho, J. Y., and Kim, H. G., Analysis of thin beams, using the meshless local Petrov–Galerkin method, with generalized moving least squares interpolations, Comput. Mech., 24, 334–347, 1999a.
    • (1999) Comput. Mech. , vol.24 , pp. 334-347
    • Atluri, S.N.1    Cho, J.Y.2    Kim, H.G.3
  • 6
    • 0033334001 scopus 로고    scopus 로고
    • A critical assessment of the truly meshless local Petrov–Galerkin (MLPG), and local boundary integral equation (LBIE) methods
    • Atluri, S. N., Kim, H. G., and Cho, J. Y., A critical assessment of the truly meshless local Petrov–Galerkin (MLPG), and local boundary integral equation (LBIE) methods, Comput. Mech., 24, 348–372, 1999b.
    • (1999) Comput. Mech. , vol.24 , pp. 348-372
    • Atluri, S.N.1    Kim, H.G.2    Cho, J.Y.3
  • 7
    • 85056493883 scopus 로고
    • The partition of unity finite element method, Technical report technical note BN-1185, Institute for Physical Science and Technology
    • April
    • Babuška, I. and Melenk, J. M., The partition of unity finite element method, Technical report technical note BN-1185, Institute for Physical Science and Technology, University of Maryland, April 1995.
    • (1995) University of Maryland
    • Babuška, I.1    Melenk, J.M.2
  • 10
    • 0030421494 scopus 로고    scopus 로고
    • Nodal integration of the element-free Galerkin method
    • Beissel, S. and Belytschko, T., Nodal integration of the element-free Galerkin method, Comput. Methods Appl. Mech. Eng., 139, 49–74, 1996.
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.139 , pp. 49-74
    • Beissel, S.1    Belytschko, T.2
  • 11
  • 14
    • 0001326256 scopus 로고
    • Stress projection for membrane and shear locking in shell finite elements
    • Belytschko, T. et al., Stress projection for membrane and shear locking in shell finite elements, Comput. Methods Appl. Mech. Eng., 51, 221–258, 1985.
    • (1985) Comput. Methods Appl. Mech. Eng. , vol.51 , pp. 221-258
    • Belytschko, T.1
  • 16
    • 0002528508 scopus 로고
    • Impact simulations with fracture. I. Methods and tests
    • Benz, W. and Asphaug, E., Impact simulations with fracture. I. Methods and tests, Icarus, 107, 98–116, 1994.
    • (1994) Icarus , vol.107 , pp. 98-116
    • Benz, W.1    Asphaug, E.2
  • 17
    • 58149326282 scopus 로고
    • Simulations of brittle solids using smoothed particle hydrodynamics
    • Benz, W. and Asphaug, E., Simulations of brittle solids using smoothed particle hydrodynamics, Comput. Phys. Commun., 87, 253–265, 1995.
    • (1995) Comput. Phys. Commun. , vol.87 , pp. 253-265
    • Benz, W.1    Asphaug, E.2
  • 19
    • 0345643551 scopus 로고
    • General theory of three-dimensional consolidation
    • Biot, M. A., General theory of three-dimensional consolidation, J. Appl. Phys., 12, 155, 1941.
    • (1941) J. Appl. Phys. , vol.12 , pp. 155
    • Biot, M.A.1
  • 20
    • 0034723949 scopus 로고    scopus 로고
    • Correction and stabilization of smoothed particle hydrodynamics methods with applications in metal forming simulations
    • Bonet, J. and Kulasegaram, S., Correction and stabilization of smoothed particle hydrodynamics methods with applications in metal forming simulations, Int. J. Numer. Methods Eng., 47, 1189–1214, 2000.
    • (2000) Int. J. Numer. Methods Eng. , vol.47 , pp. 1189-1214
    • Bonet, J.1    Kulasegaram, S.2
  • 22
    • 0018478567 scopus 로고
    • Combination of boundary and finite elements in elastostatics
    • Brebbia, C. A. and Georgiou, P., Combination of boundary and finite elements in elastostatics, Appl. Math. Modeling, 3, 212–219, 1979.
    • (1979) Appl. Math. Modeling , vol.3 , pp. 212-219
    • Brebbia, C.A.1    Georgiou, P.2
  • 24
    • 0032272551 scopus 로고    scopus 로고
    • Consistency approach and diffuse derivation in element free methods based on moving least squares approximation
    • Breitkopf, P., Touzot, G., and Villon, P., Consistency approach and diffuse derivation in element free methods based on moving least squares approximation, Comput. Assisted Mech. Eng. Sci., 5, 479–501, 1998.
    • (1998) Comput. Assisted Mech. Eng. Sci. , vol.5 , pp. 479-501
    • Breitkopf, P.1    Touzot, G.2    Villon, P.3
  • 27
    • 0009403961 scopus 로고
    • 1. Free vibrations of hyperboloidal shells of revolution
    • Carter, R. L., Robinson, A. R., and Schnobrich, W. C., 1. Free vibrations of hyperboloidal shells of revolution, J. Eng. Mech., 93, 1033–1053, 1969.
    • (1969) J. Eng. Mech. , vol.93 , pp. 1033-1053
    • Carter, R.L.1    Robinson, A.R.2    Schnobrich, W.C.3
  • 28
    • 0033900649 scopus 로고    scopus 로고
    • The boundary node method for three-dimensional problems in potential theory
    • Chati, M. K. and Mukherjee, S., The boundary node method for three-dimensional problems in potential theory, Int. J. Numer. Methods Eng., 47, 1523–1547, 2000.
    • (2000) Int. J. Numer. Methods Eng. , vol.47 , pp. 1523-1547
    • Chati, M.K.1    Mukherjee, S.2
  • 29
    • 0033121923 scopus 로고    scopus 로고
    • An improvement for tensile instability in smoothed particle hydrodynamics
    • Chen, J. K., Beraun, J. E., and Jih, C. J., An improvement for tensile instability in smoothed particle hydrodynamics, Comput. Mech., 23, 279–287, 1999b.
    • (1999) Comput. Mech. , vol.23 , pp. 279-287
    • Chen, J.K.1    Beraun, J.E.2    Jih, C.J.3
  • 30
    • 0030413958 scopus 로고    scopus 로고
    • Reproducing kernel particle methods for large deformation analysis of nonlinear structures
    • Chen, J. S. et al., Reproducing kernel particle methods for large deformation analysis of nonlinear structures, Comput. Methods Appl. Mech. Eng., 139, 195–228, 1996.
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.139 , pp. 195-228
    • Chen, J.S.1
  • 32
    • 85056541490 scopus 로고    scopus 로고
    • A mesh-free method for free vibration and stability analyses of shear deformable plates
    • Chen, X. L., Liu, G. R., and Lim, S. P., A mesh-free method for free vibration and stability analyses of shear deformable plates, J. Sound Vib. (in press), 2002a.
    • (2002) J. Sound Vib. (In Press)
    • Chen, X.L.1    Liu, G.R.2    Lim, S.P.3
  • 33
    • 85056496219 scopus 로고    scopus 로고
    • An element free Galerkin method for free vibration analysis of composite laminates of complicated shape
    • Chen, X. L., Liu, G. R., and Lim, S. P., An element free Galerkin method for free vibration analysis of composite laminates of complicated shape, Composite Structures (in press), 2002b.
    • (2002) Composite Structures (In Press)
    • Chen, X.L.1    Liu, G.R.2    Lim, S.P.3
  • 34
    • 0032140392 scopus 로고    scopus 로고
    • Evaluation of fundamental vibration frequency of an orthotropic bending plate by using an iterative approach
    • Chen, Y. Z., Evaluation of fundamental vibration frequency of an orthotropic bending plate by using an iterative approach, Comput. Methods Appl. Mech. Eng., 161, 289–296, 1998.
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.161 , pp. 289-296
    • Chen, Y.Z.1
  • 36
    • 0005260277 scopus 로고    scopus 로고
    • Analysis of shear flexible beams, using the meshless local Petrov–Galerkin method based on locking-free formulation
    • Los Angeles
    • Cho, J. Y., Kim, H. G., and Atluri, S. N., Analysis of shear flexible beams, using the meshless local Petrov–Galerkin method based on locking-free formulation, in Proceedings of Advances in Computational Engineering and Science, Los Angeles, 2000, 1404–1409.
    • (2000) Proceedings of Advances in Computational Engineering and Science , pp. 1404-1409
    • Cho, J.Y.1    Kim, H.G.2    Atluri, S.N.3
  • 37
    • 0032024733 scopus 로고    scopus 로고
    • An error estimate in the EFG method
    • Chung, H. J. and Belytschko, T., An error estimate in the EFG method, Comput. Mech., 21, 91–100, 1998.
    • (1998) Comput. Mech. , vol.21 , pp. 91-100
    • Chung, H.J.1    Belytschko, T.2
  • 38
    • 0032436773 scopus 로고    scopus 로고
    • Modeling confined multi-material heat and mass flows using SPH
    • Cleary, P. W., Modeling confined multi-material heat and mass flows using SPH, Appl. Math. Modeling, 22, 981–993, 1998.
    • (1998) Appl. Math. Modeling , vol.22 , pp. 981-993
    • Cleary, P.W.1
  • 40
    • 0030129180 scopus 로고    scopus 로고
    • On the use of radial basis functions in the solution of elliptic boundary value problems
    • Coleman, C. J., On the use of radial basis functions in the solution of elliptic boundary value problems, Comput. Mech., 17, 418–422, 1996.
    • (1996) Comput. Mech. , vol.17 , pp. 418-422
    • Coleman, C.J.1
  • 41
    • 0032140617 scopus 로고    scopus 로고
    • An adaptive approach with the element-free-Galerkin method
    • Combe, U. H. and Korn, C., An adaptive approach with the element-free-Galerkin method, Comput. Methods Appl. Mech. Eng., 162, 203–222, 1998.
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.162 , pp. 203-222
    • Combe, U.H.1    Korn, C.2
  • 42
    • 0030383252 scopus 로고    scopus 로고
    • Treatment of material discontinuity in the element-free Galerkin method
    • Cordes, L. W. and Moran, B., Treatment of material discontinuity in the element-free Galerkin method, Comput. Methods Appl. Mech. Eng., 139, 75–89, 1996.
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.139 , pp. 75-89
    • Cordes, L.W.1    Moran, B.2
  • 43
    • 0020752609 scopus 로고
    • Natural convection of air in a square cavity: A benchmark numerical solution
    • Davis, G. de Vahl, Natural convection of air in a square cavity: a benchmark numerical solution, Int. J. Numer. Methods Fluids, 3, 249–264, 1983.
    • (1983) Int. J. Numer. Methods Fluids , vol.3 , pp. 249-264
    • Davis, G.V.1
  • 45
    • 0001779917 scopus 로고
    • A new hybrid displacement variational formulation of BEM for elastostatics
    • Brebbia, C. A., Ed., Springer-Verla
    • DeFigueiredo, T. G. B. and Brebbia, C. A., A new hybrid displacement variational formulation of BEM for elastostatics, in Advances in Boundary Elements, Vol. 1, Brebbia, C. A., Ed., Springer-Verlag, Berlin, 1989, 33–42.
    • (1989) Advances in Boundary Elements , vol.1
    • Defigueiredo, T.G.B.1    Brebbia, C.A.2
  • 47
    • 0032624422 scopus 로고    scopus 로고
    • Numerical integration of the Galerkin weak form in mesh free methods
    • Dolbow, J. and Belytschko, T., Numerical integration of the Galerkin weak form in mesh free methods, Comput. Mech., 23, 219–230, 1999.
    • (1999) Comput. Mech. , vol.23 , pp. 219-230
    • Dolbow, J.1    Belytschko, T.2
  • 48
    • 0031699491 scopus 로고    scopus 로고
    • Meshless methods for shear-deformable beams and plates
    • Donning, B. M. and Liu, W. K., Meshless methods for shear-deformable beams and plates, Comput. Methods Appl. Mech. Eng., 152, 47–71, 1998.
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.152 , pp. 47-71
    • Donning, B.M.1    Liu, W.K.2
  • 50
    • 0040805184 scopus 로고
    • The hybrid boundary element method
    • Brebbia, C. A., Ed., Springer-Verla
    • Dumont, N. A., The hybrid boundary element method, in Boundary Elements, IX, Vol. 1, Brebbia, C. A., Ed., Springer-Verlag, Berlin, 1988, 117–130.
    • (1988) Boundary Elements, IX , vol.1
    • Dumont, N.A.1
  • 53
    • 0002434097 scopus 로고    scopus 로고
    • Solving partial differential equations by collocation with radial basis functions
    • Mehaute, A. L., Rabut, C., and Schumaker, L. L
    • Fasshauer, G. E., Solving partial differential equations by collocation with radial basis functions, in Surface Fitting and Multiresolution Methods, Mehaute, A. L., Rabut, C., and Schumaker, L. L., Eds., 1997, 131–138.
    • (1997) Surface Fitting and Multiresolution Methods , pp. 131-138
    • Fasshauer, G.E.1
  • 54
    • 12044252879 scopus 로고
    • Smoothed particle hydrodynamics—physical viscosity and the simulation of accretion disks
    • Flebbe, O. S. et al., Smoothed particle hydrodynamics—physical viscosity and the simulation of accretion disks, Astron. J., 431, 754–760, 1994.
    • (1994) Astron. J. , vol.431 , pp. 754-760
    • Flebbe, O.S.1
  • 55
    • 0031126544 scopus 로고    scopus 로고
    • Enriched element-free Galerkin methods for crack tip fields
    • Fleming, M. et al., Enriched element-free Galerkin methods for crack tip fields, Int. J. Numer. Methods Eng., 40, 1483–1504, 1997.
    • (1997) Int. J. Numer. Methods Eng. , vol.40 , pp. 1483-1504
    • Fleming, M.1
  • 56
    • 0002245065 scopus 로고    scopus 로고
    • Solving partial differential equations by collocation using radial basis functions
    • Franke, C. and Schaback, R., Solving partial differential equations by collocation using radial basis functions, Appl. Math. Comput., 93, 73–82, 1997.
    • (1997) Appl. Math. Comput. , vol.93 , pp. 73-82
    • Franke, C.1    Schaback, R.2
  • 57
    • 84968515237 scopus 로고
    • Scattered data interpolation: Tests of some method
    • Franke, R., Scattered data interpolation: tests of some method, Math. Comput., 38(157), 181–200, 1982.
    • (1982) Math. Comput. , vol.38 , Issue.157 , pp. 181-200
    • Franke, R.1
  • 58
    • 0000176789 scopus 로고
    • Smooth particle hydrodynamics: Theory and applications to non-spherical stars
    • Gingold, R. A. and Monaghan, J. J., Smooth particle hydrodynamics: theory and applications to non-spherical stars, Mon. Not. R. Astron. Soc., 181, 375–389, 1977.
    • (1977) Mon. Not. R. Astron. Soc. , vol.181 , pp. 375-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 59
    • 33645123735 scopus 로고
    • Kernel estimates as a basis for general particle methods in hydrodynamics
    • Gingold, R. A. and Monaghan, J. J., Kernel estimates as a basis for general particle methods in hydrodynamics, J. Comput. Phys., 46, 429–453, 1982.
    • (1982) J. Comput. Phys. , vol.46 , pp. 429-453
    • Gingold, R.A.1    Monaghan, J.J.2
  • 60
    • 0033116371 scopus 로고    scopus 로고
    • Some recent results and proposals for the use of radial basis functions in the BEM
    • Golberg, M. A., Chen, C. S., and Bowman, H., Some recent results and proposals for the use of radial basis functions in the BEM, Eng. Anal. Boundary Elements, 23, 285–296, 1999.
    • (1999) Eng. Anal. Boundary Elements , vol.23 , pp. 285-296
    • Golberg, M.A.1    Chen, C.S.2    Bowman, H.3
  • 61
    • 0030181559 scopus 로고    scopus 로고
    • Improved multiquadric approximation for partial differential equations
    • Golberg, M. A., Chen, C. S., and Karur, S. R., Improved multiquadric approximation for partial differential equations, Eng. Anal. Boundary Elements, 18, 9–17, 1996.
    • (1996) Eng. Anal. Boundary Elements , vol.18 , pp. 9-17
    • Golberg, M.A.1    Chen, C.S.2    Karur, S.R.3
  • 62
    • 0003577829 scopus 로고
    • Natural vibration of plates and shells
    • Russian
    • Gontkewitz, V. C., Natural vibration of plates and shells, Nayka Dymka (Kiev), 1964 [in Russian].
    • (1964) Nayka Dymka (Kiev)
    • Gontkewitz, V.C.1
  • 64
    • 0042392439 scopus 로고    scopus 로고
    • A boundary point interpolation method (BPIM) using radial function basis, in First MIT Conference on Computational Fluid and Solid Mechanics
    • June
    • Gu, Y. T. and Liu, G. R., A boundary point interpolation method (BPIM) using radial function basis, in First MIT Conference on Computational Fluid and Solid Mechanics, June 2001, MIT, 2001a, 1590–1592.
    • (2001) MIT , vol.2001a , pp. 1590-1592
    • Gu, Y.T.1    Liu, G.R.2
  • 65
    • 0035946964 scopus 로고    scopus 로고
    • A coupled element free Galerkin/boundary element method for stress analysis of two-dimensional solids
    • Gu, Y. T. and Liu, G. R., A coupled element free Galerkin/boundary element method for stress analysis of two-dimensional solids, Comput. Methods Appl. Mech. Eng., 190, 4405–4419, 2001b.
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 4405-4419
    • Gu, Y.T.1    Liu, G.R.2
  • 66
    • 0035271335 scopus 로고    scopus 로고
    • A meshless local Petrov–Galerkin (MLPG) method for free and forced vibration analyses for solids
    • Gu, Y. T. and Liu, G. R., A meshless local Petrov–Galerkin (MLPG) method for free and forced vibration analyses for solids, Comput. Mech., 27(3), 188–198, 2001c.
    • (2001) Comput. Mech. , vol.27 , Issue.3 , pp. 188-198
    • Gu, Y.T.1    Liu, G.R.2
  • 67
    • 0035800453 scopus 로고    scopus 로고
    • A local point interpolation method for static and dynamic analysis of thin beams
    • Gu, Y. T. and Liu, G. R., A local point interpolation method for static and dynamic analysis of thin beams, Comput. Methods Appl. Mech. Eng., 190, 5515–5528, 2001d.
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 5515-5528
    • Gu, Y.T.1    Liu, G.R.2
  • 68
    • 0035261976 scopus 로고    scopus 로고
    • A boundary point interpolation method for stress analysis of solids
    • Gu, Y. T. and Liu, G. R., A boundary point interpolation method for stress analysis of solids, Comput. Mech., 28(1), 47–54, 2002.
    • (2002) Comput. Mech. , vol.28 , Issue.1 , pp. 47-54
    • Gu, Y.T.1    Liu, G.R.2
  • 69
    • 0012255432 scopus 로고    scopus 로고
    • A meshless local Petrov–Galerkin (MLPG) formulation for static and free vibration analyses of thin plates
    • Gu, Y. T. and Liu, G. R., A meshless local Petrov–Galerkin (MLPG) formulation for static and free vibration analyses of thin plates, Comput. Modeling Eng. Sci., 2(4), 463–476, 2001f.
    • (2001) Comput. Modeling Eng. Sci. , vol.2 , Issue.4 , pp. 463-476
    • Gu, Y.T.1    Liu, G.R.2
  • 70
    • 0025701139 scopus 로고
    • Specifications of boundary conditions for Reissner/Mindlin plate bending finite elements
    • Haggblad, B. and Bathe, K. J., Specifications of boundary conditions for Reissner/Mindlin plate bending finite elements, Int. J. Numer. Methods Eng., 30, 981–1011, 1990.
    • (1990) Int. J. Numer. Methods Eng. , vol.30 , pp. 981-1011
    • Haggblad, B.1    Bathe, K.J.2
  • 71
    • 0001617877 scopus 로고
    • TreeSPH—a unification of SPH with the hierarchical tree method
    • Hernquist, L. and Katz, N., TreeSPH—a unification of SPH with the hierarchical tree method, Astrophys. J. Suppl. Ser., 70, 419–446, 1989.
    • (1989) Astrophys. J. Suppl. Ser. , vol.70 , pp. 419-446
    • Hernquist, L.1    Katz, N.2
  • 72
    • 0038766672 scopus 로고
    • Hydraulic & Electric Press, Beijing, Chinese version
    • Huang, W. X., The Engineering Property of Soil, Hydraulic & Electric Press, Beijing 1983 [Chinese version].
    • (1983) The Engineering Property of Soil
    • Huang, W.X.1
  • 74
    • 0001845186 scopus 로고
    • Finite difference techniques for variable grids
    • Jensen, P. S., Finite difference techniques for variable grids, Comput. Struct., 2, 17–29, 1980.
    • (1980) Comput. Struct. , vol.2 , pp. 17-29
    • Jensen, P.S.1
  • 76
    • 0030216549 scopus 로고    scopus 로고
    • Normalized smoothing functions for SPH impact computations
    • Johnson, G. R. and Beissel, S. R., Normalized smoothing functions for SPH impact computations, Int. J. Numer. Methods Eng., 39(16), 2725–2741, 1996.
    • (1996) Int. J. Numer. Methods Eng. , vol.39 , Issue.16 , pp. 2725-2741
    • Johnson, G.R.1    Beissel, S.R.2
  • 79
    • 0033102242 scopus 로고    scopus 로고
    • Two-dimensional linear elasticity by the boundary node method
    • Kothnur, V. S., Mukherjee, S., and Mukherjee, Y. X., Two-dimensional linear elasticity by the boundary node method, Int. J. Solids Struct., 36, 1129–1147, 1999.
    • (1999) Int. J. Solids Struct. , vol.36 , pp. 1129-1147
    • Kothnur, V.S.1    Mukherjee, S.2    Mukherjee, Y.X.3
  • 80
    • 0030120864 scopus 로고    scopus 로고
    • Enforcement of essential boundary conditions in meshless approximations using finite elements
    • Krongauz, Y. and Belytschko, T., Enforcement of essential boundary conditions in meshless approximations using finite elements, Comput. Methods Appl. Mech. Eng., 131(1–2), 133–145, 1996.
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.131 , Issue.1-2 , pp. 133-145
    • Krongauz, Y.1    Belytschko, T.2
  • 81
    • 0032048164 scopus 로고    scopus 로고
    • EFG approximation with discontinuous derivatives
    • Krongauz, Y. and Belytschko, T., EFG approximation with discontinuous derivatives, Int. J. Numer. Methods Eng., 41(7), 1215–1233, 1998.
    • (1998) Int. J. Numer. Methods Eng. , vol.41 , Issue.7 , pp. 1215-1233
    • Krongauz, Y.1    Belytschko, T.2
  • 82
    • 0029484915 scopus 로고    scopus 로고
    • Analysis of thin plates by the element-free Galerkin method
    • Krysl, P. and Belytschko, T., Analysis of thin plates by the element-free Galerkin method, Comput. Mech., 17, 26–35, 1996a.
    • (1996) Comput. Mech. , vol.17 , pp. 26-35
    • Krysl, P.1    Belytschko, T.2
  • 83
    • 0030211580 scopus 로고    scopus 로고
    • Analysis of thin shells by the element-free Galerkin method
    • Krysl, P. and Belytschko, T., Analysis of thin shells by the element-free Galerkin method, Int. J. Solids Struct., 33, 3057–3080, 1996b.
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 3057-3080
    • Krysl, P.1    Belytschko, T.2
  • 84
    • 0348201161 scopus 로고
    • An experimental and theoretical study of natural convection in the annulus between horizontal concentric cylinders
    • Kuehn, T. H. and Goldstein, R. J., An experimental and theoretical study of natural convection in the annulus between horizontal concentric cylinders, J. Fluid Mech., 74, 695–716, 1976.
    • (1976) J. Fluid Mech. , vol.74 , pp. 695-716
    • Kuehn, T.H.1    Goldstein, R.J.2
  • 86
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • Lancaster, P. and Salkauskas, K., Surfaces generated by moving least squares methods, Math. Comput., 37, 141–158, 1981.
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 87
    • 0024863911 scopus 로고
    • Vibration studies for simply supported symmetrically laminated regular plates
    • Leissa, A. W. and Narita, Y., Vibration studies for simply supported symmetrically laminated regular plates, Compos. Struct., 12, 113–132, 1989.
    • (1989) Compos. Struct. , vol.12 , pp. 113-132
    • Leissa, A.W.1    Narita, Y.2
  • 88
    • 0022659150 scopus 로고
    • A new method for the coupling of finite element and boundary element discretized subdomains of elastic bodies
    • Li, H. B. and Han, G. M., A new method for the coupling of finite element and boundary element discretized subdomains of elastic bodies, Comput. Methods Appl. Mech. Eng., 54, 161–185, 1986.
    • (1986) Comput. Methods Appl. Mech. Eng. , vol.54 , pp. 161-185
    • Li, H.B.1    Han, G.M.2
  • 89
    • 0033873253 scopus 로고    scopus 로고
    • Numerical simulations of large deformation of thin shell structures using meshfree methods
    • Li, S., Hao, W., and Liu, W. K., Numerical simulations of large deformation of thin shell structures using meshfree methods, Comput. Mech., 25, 102–116, 2000.
    • (2000) Comput. Mech. , vol.25 , pp. 102-116
    • Li, S.1    Hao, W.2    Liu, W.K.3
  • 90
    • 0000293878 scopus 로고
    • Smoothed particle hydrodynamics with strength of materials
    • Trease, H., Fritts, J., and Crowley, W., Eds., Springer-Verlag, New York
    • Libersky, L. D. and Petscheck, A. G., Smoothed particle hydrodynamics with strength of materials, in Proceedings of the Next Free Lagrange Conference, Vol. 395, Trease, H., Fritts, J., and Crowley, W., Eds., Springer-Verlag, New York, 1991, 248–257.
    • (1991) Proceedings of the Next Free Lagrange Conference , vol.395 , pp. 248-257
    • Libersky, L.D.1    Petscheck, A.G.2
  • 91
    • 0001911840 scopus 로고
    • High strain Lagrangian hydrodynamics—a three-dimensional SPH code for dynamic material response
    • Libersky, L. D. and Petscheck, A. G., High strain Lagrangian hydrodynamics—a three-dimensional SPH code for dynamic material response, J. Comput. Phys., 109, 67–75, 1993.
    • (1993) J. Comput. Phys. , vol.109 , pp. 67-75
    • Libersky, L.D.1    Petscheck, A.G.2
  • 92
    • 0018430665 scopus 로고
    • The finite difference method at arbitrary irregular grids and its application in applied mechanics
    • Liszka, T. and Orkisz, J., The finite difference method at arbitrary irregular grids and its application in applied mechanics, Comput. Struct., 11, 83–95, 1980.
    • (1980) Comput. Struct. , vol.11 , pp. 83-95
    • Liszka, T.1    Orkisz, J.2
  • 93
    • 0037906184 scopus 로고    scopus 로고
    • The meshless local Petrov–Galerkin (MLPG) method for solving incom-pressive Navier-Stokers equations
    • Lin, H., and Atluri, S. N., The meshless local Petrov–Galerkin (MLPG) method for solving incom-pressive Navier-Stokers equations, Comput. Model. Engrg. Sci., 2, 117–142, 2001.
    • (2001) Comput. Model. Engrg. Sci. , vol.2 , pp. 117-142
    • Lin, H.1    Atluri, S.N.2
  • 95
    • 84895200866 scopus 로고    scopus 로고
    • Static buckling of composite laminates using EFG method
    • December 7–9, Taipei, Taiwan
    • Liu, G. R. and Chen, X. L., Static buckling of composite laminates using EFG method, in Proc. 1st Int. Conf. on Structural Stability and Dynamics, December 7–9, Taipei, Taiwan, 2000, 321–326.
    • (2000) Proc. 1St Int. Conf. on Structural Stability and Dynamics , pp. 321-326
    • Liu, G.R.1    Chen, X.L.2
  • 96
    • 0035848845 scopus 로고    scopus 로고
    • A mesh-free method for static and free vibration analyses of thin plates of complicated shape
    • Liu, G. R., and Chen, X. L., A mesh-free method for static and free vibration analyses of thin plates of complicated shape, J. Sound Vib., 241(5), 839–855, 2001.
    • (2001) J. Sound Vib. , vol.241 , Issue.5 , pp. 839-855
    • Liu, G.R.1    Chen, X.L.2
  • 98
    • 0034483501 scopus 로고    scopus 로고
    • Meshless local Petrov–Galerkin (MLPG) method in combination with finite element and boundary element approaches
    • Liu, G. R. and Gu, Y. T., Meshless local Petrov–Galerkin (MLPG) method in combination with finite element and boundary element approaches, Comput. Mech., 26, 536–546, 2000a.
    • (2000) Comput. Mech. , vol.26 , pp. 536-546
    • Liu, G.R.1    Gu, Y.T.2
  • 99
    • 34248218037 scopus 로고    scopus 로고
    • Vibration analyses of 2-D solids by the local point interpolation method (LPIM)
    • December 7–9, Taiwan
    • Liu, G. R. and Gu, Y. T., Vibration analyses of 2-D solids by the local point interpolation method (LPIM), in Proc. 1st International Conference on Structural Stability and Dynamics, December 7–9, Taiwan, 2000b, 411–416.
    • (2000) Proc. 1St International Conference on Structural Stability and Dynamics , pp. 411-416
    • Liu, G.R.1    Gu, Y.T.2
  • 100
    • 0034247445 scopus 로고    scopus 로고
    • Coupling of element free Galerkin and hybrid boundary element methods using modified variational formulation
    • Liu, G. R. and Gu, Y. T., Coupling of element free Galerkin and hybrid boundary element methods using modified variational formulation, Comput. Mech., 26(2), 166–173, 2000c.
    • (2000) Comput. Mech. , vol.26 , Issue.2 , pp. 166-173
    • Liu, G.R.1    Gu, Y.T.2
  • 101
    • 0035251898 scopus 로고    scopus 로고
    • A local point interpolation method for stress analysis of two-dimensional solids
    • Liu, G. R. and Gu, Y. T., A local point interpolation method for stress analysis of two-dimensional solids, Struct. Eng. Mech., 11(2), 221–236, 2001a.
    • (2001) Struct. Eng. Mech. , vol.11 , Issue.2 , pp. 221-236
    • Liu, G.R.1    Gu, Y.T.2
  • 102
    • 0035817769 scopus 로고    scopus 로고
    • A local radial point interpolation method (LR-PIM) for free vibration analyses of 2-D solids
    • Liu, G. R. and Gu, Y. T., A local radial point interpolation method (LR-PIM) for free vibration analyses of 2-D solids, J. Sound Vib., 246(1), 29–46, 2001b.
    • (2001) J. Sound Vib. , vol.246 , Issue.1 , pp. 29-46
    • Liu, G.R.1    Gu, Y.T.2
  • 103
    • 0035112642 scopus 로고    scopus 로고
    • A point interpolation method for two-dimensional solids
    • Liu, G. R. and Gu, Y. T., A point interpolation method for two-dimensional solids, Int. J. Numer. Methods Eng., 50, 937–951, 2001c.
    • (2001) Int. J. Numer. Methods Eng. , vol.50 , pp. 937-951
    • Liu, G.R.1    Gu, Y.T.2
  • 104
    • 0141803333 scopus 로고    scopus 로고
    • A matrix triangularization algorithm for point interpolation method
    • Bangchun, W., Ed., November, Hangzhou, China
    • Liu, G. R. and Gu, Y. T., A matrix triangularization algorithm for point interpolation method, in Proc. Asia-Pacific Vibration Conference, Bangchun, W., Ed., November, Hangzhou, China, 2001d, 1151–1154.
    • (2001) Proc. Asia-Pacific Vibration Conference , pp. 1151-1154
    • Liu, G.R.1    Gu, Y.T.2
  • 105
    • 20744434151 scopus 로고    scopus 로고
    • On formulation and application of local point interpolation methods for computational mechanics
    • 20–23 November, Sydney, Australia, Invited paper
    • Liu, G. R. and Gu, Y. T., On formulation and application of local point interpolation methods for computational mechanics, in Proc. First Asia-Pacific Congress on Computational Mechanics, 20–23 November, Sydney, Australia, 2001e, 97–106 [Invited paper].
    • (2001) Proc. First Asia-Pacific Congress on Computational Mechanics , pp. 97-106
    • Liu, G.R.1    Gu, Y.T.2
  • 107
    • 85056555657 scopus 로고    scopus 로고
    • Comparisons of two meshfree local point interpolation methods for structured analyses
    • press
    • Liu, G. R. and Gu, Y. T., Comparisons of two meshfree local point interpolation methods for structured analyses, Comput. Mech. (in press).
    • Comput. Mech.
    • Liu, G.R.1    Gu, Y.T.2
  • 109
  • 110
    • 0037086287 scopus 로고    scopus 로고
    • An adaptive procedure based on background cells for meshless methods
    • Liu, G. R. and Tu, Z. H., An adaptive procedure based on background cells for meshless methods, Comput. Methods Appl. Mech. Eng., 191, 1923–1943, 2002.
    • (2002) Comput. Methods Appl. Mech. Eng. , vol.191 , pp. 1923-1943
    • Liu, G.R.1    Tu, Z.H.2
  • 111
    • 85056520586 scopus 로고    scopus 로고
    • Application of meshless local Petrov–Galerkin (MLPG) approach to fluid flow problem
    • Valliappan, S. and Khalili, N., Eds., Elsevier, Amsterdam
    • Liu, G. R., Wu, Y. L., and Gu, Y. T., Application of meshless local Petrov–Galerkin (MLPG) approach to fluid flow problem. In Computational Mechanics—New Frontiers for New Millennium, Valliappan, S. and Khalili, N., Eds., Elsevier, Amsterdam, 2001.
    • (2001) Computational Mechanics—New Frontiers for New Millennium
    • Liu, G.R.1    Wu, Y.L.2    Gu, Y.T.3
  • 112
    • 85056556790 scopus 로고    scopus 로고
    • Application of local radial point interpolation method (LRPIM) to impressible flow simulation
    • submitted
    • Liu, G. R. and Wu, Y. L., Application of local radial point interpolation method (LRPIM) to impressible flow simulation, Int. J. Numer. Methods Fluids (submitted), 2002.
    • (2002) Int. J. Numer. Methods Fluids
    • Liu, G.R.1    Wu, Y.L.2
  • 114
    • 0002767822 scopus 로고    scopus 로고
    • A study on numerical integrations in element free methods
    • Liu, G. R. and Yan, L., A study on numerical integrations in element free methods, in Proc. APCOM ’99, Singapore, 1999, 979–984.
    • (1999) Proc. APCOM ’99, Singapore , pp. 979-984
    • Liu, G.R.1    Yan, L.2
  • 117
    • 0000827652 scopus 로고    scopus 로고
    • A penalty method for enforce essential boundary conditions in element free Galerkin method
    • Liu, G. R. and Yang, K. Y., A penalty method for enforce essential boundary conditions in element free Galerkin method, in Proc. 3rd HPC Asia’98, Singapore, 1998, 715–721.
    • (1998) Proc. 3Rd HPC Asia’98, Singapore , pp. 715-721
    • Liu, G.R.1    Yang, K.Y.2
  • 122
    • 85056531395 scopus 로고    scopus 로고
    • A Conforming Point Interpolation Method for Analyzing Spatial Thick Shell Structures
    • December 16–18, (accepted)
    • Liu, G. R., Liu, L., Tan, V. B. C., and Gu, Y. T., A Conforming Point Interpolation Method for Analyzing Spatial Thick Shell Structures, 2nd Int. Conf. on Structural Stability and Dynamics, December 16–18, (accepted), 2002c.
    • (2002) 2Nd Int. Conf. on Structural Stability and Dynamics
    • Liu, G.R.1    Liu, L.2    Tan, V.B.C.3    Gu, Y.T.4
  • 124
    • 0037086287 scopus 로고    scopus 로고
    • An adaptive procedure based on background cells for meshless methods
    • Liu, G. R., and Tu, Z. H., An adaptive procedure based on background cells for meshless methods, Comput. Method Appl. Mech. Engrg., 191, 1923–1942, 2002.
    • (2002) Comput. Method Appl. Mech. Engrg. , vol.191 , pp. 1923-1942
    • Liu, G.R.1    Tu, Z.H.2
  • 125
    • 85056559648 scopus 로고    scopus 로고
    • Point interpolation method based on local residual formulation using radial basis functions
    • submitted
    • Liu, G. R., Yan, L., and Wang, J. G., Point interpolation method based on local residual formulation using radial basis functions, Struct. Eng. Mech., 2001 (submitted).
    • (2001) Struct. Eng. Mech.
    • Liu, G.R.1    Yan, L.2    Wang, J.G.3
  • 126
    • 84895360918 scopus 로고    scopus 로고
    • Element free analyses for static and free vibration of thin shells
    • Bangchun, W., Ed., November, Hangzhou, China
    • Liu, L., Liu, G. R., and Tan, V. B. C., Element free analyses for static and free vibration of thin shells, in Proc. Asia-Pacific Vibration Conference, Bangchun, W., Ed., November, Hangzhou, China, 2001.
    • (2001) Proc. Asia-Pacific Vibration Conference
    • Liu, L.1    Liu, G.R.2    Tan, V.B.C.3
  • 127
    • 0026490566 scopus 로고
    • A combined finite element method/boundary element method for V(Z) curves of anisotropic-layer/substrate configurations
    • Liu, G. R. et al., A combined finite element method/boundary element method for V(z) curves of anisotropic-layer/substrate configurations, J. Acoust. Soc. Am. U.S.A., 92(5), 2734–2740, 1992.
    • (1992) J. Acoust. Soc. Am. U.S.A. , vol.92 , Issue.5 , pp. 2734-2740
    • Liu, G.R.1
  • 128
    • 0000593698 scopus 로고    scopus 로고
    • Numerical simulation of underwater explosion by SPH
    • Atluri, S. N. and Brust, F. W., Eds., Tech Science Press, Palmdale, CA
    • Liu, M. B. et al., Numerical simulation of underwater explosion by SPH, in Advances in Computational Engineering & Science, Atluri, S. N. and Brust, F. W., Eds., Tech Science Press, Palmdale, CA, 2000a, 1475–1480.
    • Advances in Computational Engineering & Science , vol.2000a , pp. 1475-1480
    • Liu, M.B.1
  • 130
    • 44349084558 scopus 로고    scopus 로고
    • A new technique to treat material interfaces for smoothed particle hydrodynamics
    • 20–23 November, Sydney, Australia
    • Liu, M. B. et al., A new technique to treat material interfaces for smoothed particle hydrodynamics, in Proc. First Asia-Pacific Congress on Computational Mechanics, 20–23 November, Sydney, Australia, 2001a, 997–982.
    • (2001) Proc. First Asia-Pacific Congress on Computational Mechanics , pp. 982-997
    • Liu, M.B.1
  • 132
    • 0013077310 scopus 로고    scopus 로고
    • Computer simulation of the high explosive explosion using SPH methodology
    • press
    • Liu, M. B. et al., Computer simulation of the high explosive explosion using SPH methodology, Comput. Fluids, 2002 (in press).
    • (2002) Comput. Fluids
    • Liu, M.B.1
  • 133
    • 85056554004 scopus 로고    scopus 로고
    • An SPH formulation for simulating discontinuous phenomena
    • submitted
    • Liu, M. B., Liu, G. R., and Lam, K. Y., An SPH formulation for simulating discontinuous phenomena, Comput. Fluid (submitted).
    • Comput. Fluid
    • Liu, M.B.1    Liu, G.R.2    Lam, K.Y.3
  • 136
    • 0027805906 scopus 로고
    • Reproducing kernel and wavelet particle methods for elastic and plastic problems
    • Benson, D. J., Ed., 180/PVP 268 ASME
    • Liu, W. K., Adee, J., and Jun, S., Reproducing kernel and wavelet particle methods for elastic and plastic problems, in Advanced Computational Methods for Material Modeling, Benson, D. J., Ed., 180/PVP 268 ASME, 1993, 175–190.
    • (1993) Advanced Computational Methods for Material Modeling , pp. 175-190
    • Liu, W.K.1    Adee, J.2    Jun, S.3
  • 138
    • 0030170555 scopus 로고    scopus 로고
    • Advances in multiple scale kernel particle methods
    • Liu, W. K. et al., Advances in multiple scale kernel particle methods, Comput. Mech., 18, 73–111, 1996.
    • (1996) Comput. Mech. , vol.18 , pp. 73-111
    • Liu, W.K.1
  • 139
    • 0031171498 scopus 로고    scopus 로고
    • Multiresolution reproducing kernel particle method for computational fluid dynamics
    • Liu, W. K. et al., Multiresolution reproducing kernel particle method for computational fluid dynamics, Int. J. Numer. Methods Fluids, 24, 1–25, 1997a.
    • (1997) Int. J. Numer. Methods Fluids , vol.24 , pp. 1-25
    • Liu, W.K.1
  • 140
    • 0031171498 scopus 로고    scopus 로고
    • Multiresolution reproducing kernel particle method for computational fluid dynamics
    • Liu, W. K. et al., Multiresolution reproducing kernel particle method for computational fluid dynamics, Int. J. Numer. Methods Fluids, 24, 1391–1415, 1997b.
    • (1997) Int. J. Numer. Methods Fluids , vol.24 , pp. 1391-1415
    • Liu, W.K.1
  • 141
    • 0031119696 scopus 로고    scopus 로고
    • Moving least-square reproducing kernel methods. I. Methodology and convergence
    • Liu, W. K., Li, S. F., and Belytschko, T., Moving least-square reproducing kernel methods. I. Methodology and convergence, Comput. Methods Appl. Mech. Eng., 143, 113–154, 1997c.
    • (1997) Comput. Methods Appl. Mech. Eng. , vol.143 , pp. 113-154
    • Liu, W.K.1    Li, S.F.2    Belytschko, T.3
  • 142
    • 0028400170 scopus 로고
    • A new implementation of the element free Galerkin method
    • Lu, Y. Y., Belytschko, T., and Gu, L., A new implementation of the element free Galerkin method, Comput. Methods Appl. Mech. Eng., 113, 397–414, 1994.
    • (1994) Comput. Methods Appl. Mech. Eng. , vol.113 , pp. 397-414
    • Lu, Y.Y.1    Belytschko, T.2    Gu, L.3
  • 143
    • 0001765873 scopus 로고
    • A numerical approach to testing the fission hypothesis
    • Lucy, L., A numerical approach to testing the fission hypothesis, Astron. J., 82, 1013–1024, 1977.
    • (1977) Astron. J. , vol.82 , pp. 1013-1024
    • Lucy, L.1
  • 145
    • 0001176609 scopus 로고
    • Why particle methods work
    • Monaghan, J. J., Why particle methods work, Siam J. Sci. Sat. Comput., 3(4), 423–433, 1982.
    • (1982) Siam J. Sci. Sat. Comput. , vol.3 , Issue.4 , pp. 423-433
    • Monaghan, J.J.1
  • 147
    • 0023165466 scopus 로고    scopus 로고
    • An introduction to SPH
    • Monaghan, J. J., An introduction to SPH, Comput. Phys. Commun., 48, 89–96, 1988.
    • (1988) Comput. Phys. Commun. , vol.48 , pp. 89-96
    • Monaghan, J.J.1
  • 148
    • 2342616998 scopus 로고
    • On the problem of penetration in particle methods
    • Monaghan, J. J., On the problem of penetration in particle methods, J. Comput. Phys., 82, 1–15, 1989.
    • (1989) J. Comput. Phys. , vol.82 , pp. 1-15
    • Monaghan, J.J.1
  • 149
  • 150
    • 28144440714 scopus 로고
    • Simulating free surface flows with SPH
    • Monaghan, J. J., Simulating free surface flows with SPH, J. Comput. Phys., 110, 399–406, 1994.
    • (1994) J. Comput. Phys. , vol.110 , pp. 399-406
    • Monaghan, J.J.1
  • 152
    • 0023165466 scopus 로고    scopus 로고
    • An introduction to SPH
    • Monaghan, J. J., An introduction to SPH, Comput. Phys. Commun., 48, 89–96, 1998.
    • (1998) Comput. Phys. Commun. , vol.48 , pp. 89-96
    • Monaghan, J.J.1
  • 153
    • 33644851328 scopus 로고
    • Shock simulation by the particle method SPH
    • Monaghan, J. J. and Gingold, R. A., Shock simulation by the particle method SPH, J. Comput. Phys., 52, 374–389, 1993.
    • (1993) J. Comput. Phys. , vol.52 , pp. 374-389
    • Monaghan, J.J.1    Gingold, R.A.2
  • 155
    • 0022058239 scopus 로고
    • Artificial viscosity for particle methods
    • Monaghan, J. J. and Poinracic, J., Artificial viscosity for particle methods, Appl. Numer. Math., 1, 187–194, 1985.
    • (1985) Appl. Numer. Math. , vol.1 , pp. 187-194
    • Monaghan, J.J.1    Poinracic, J.2
  • 156
    • 0031232447 scopus 로고    scopus 로고
    • A switch to reduce SPH viscosity
    • Morris, J. P. and Monaghan, J. J., A switch to reduce SPH viscosity, J. Comput. Phys., 136, 41–50, 1997.
    • (1997) J. Comput. Phys. , vol.136 , pp. 41-50
    • Morris, J.P.1    Monaghan, J.J.2
  • 157
    • 0031237355 scopus 로고    scopus 로고
    • Modeling lower Reynolds number incompressible flows using SPH
    • Morris, J. P., Patrick, J. F., and Zhu, Y., Modeling lower Reynolds number incompressible flows using SPH, J. Comput. Phys., 136, 214–226, 1997.
    • (1997) J. Comput. Phys. , vol.136 , pp. 214-226
    • Morris, J.P.1    Patrick, J.F.2    Zhu, Y.3
  • 160
    • 0031096240 scopus 로고    scopus 로고
    • On boundary conditions in the element-free Galerkin method
    • Mukherjee, Y. X. and Mukherjee, S., On boundary conditions in the element-free Galerkin method, Comput. Mech., 19, 264–270, 1997b.
    • (1997) Comput. Mech. , vol.19 , pp. 264-270
    • Mukherjee, Y.X.1    Mukherjee, S.2
  • 161
    • 0032690220 scopus 로고    scopus 로고
    • Node-by-node meshless approach and its application to structural analyses
    • Nagashima, T., Node-by-node meshless approach and its application to structural analyses, Int. J. Numer. Methods Eng., 46, 341–385, 1999.
    • (1999) Int. J. Numer. Methods Eng. , vol.46 , pp. 341-385
    • Nagashima, T.1
  • 162
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • Nayroles, B., Touzot, G., and Villon, P., Generalizing the finite element method: diffuse approximation and diffuse elements, Comput. Mech., 10, 307–318, 1992.
    • (1992) Comput. Mech. , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 163
    • 33751025983 scopus 로고
    • Variable smoothing lengths and energy conservation in smoothed particle hydrodynamics
    • Nelson, R. P. and Papaloizou, J. C. B., Variable smoothing lengths and energy conservation in smoothed particle hydrodynamics, Mon. Not. R. Astron. Soc., 270, 1–20, 1994.
    • (1994) Mon. Not. R. Astron. Soc. , vol.270 , pp. 1-20
    • Nelson, R.P.1    Papaloizou, J.C.B.2
  • 164
  • 165
    • 0040829167 scopus 로고
    • A Parallel Adaptive Strategy for hp Finite Element Computations
    • University of Texas, Austin
    • Oden, J. T. and Abani, P., A Parallel Adaptive Strategy for hp Finite Element Computations, TICAM Rep. 94-06, University of Texas, Austin, 1994.
    • (1994) TICAM Rep. 94-06
    • Oden, J.T.1    Abani, P.2
  • 166
    • 0030294780 scopus 로고    scopus 로고
    • A finite point method in computational mechanics applications to convective transport and fluid flow
    • Onate, E. et al., A finite point method in computational mechanics applications to convective transport and fluid flow, Int. J. Numer. Methods Eng., 39, 3839–3866, 1996.
    • (1996) Int. J. Numer. Methods Eng. , vol.39 , pp. 3839-3866
    • Onate, E.1
  • 167
    • 0030192918 scopus 로고    scopus 로고
    • Continuous meshless approximations for nonconvex bodies by diffraction and transparency
    • Organ, D. et al., Continuous meshless approximations for nonconvex bodies by diffraction and transparency, Comput. Mech., 18(3), 225–235, 1996.
    • (1996) Comput. Mech. , vol.18 , Issue.3 , pp. 225-235
    • Organ, D.1
  • 168
    • 0001949910 scopus 로고    scopus 로고
    • Finite difference method
    • Kleiber, M., Ed., Springer-Verlag, Berlin
    • Orkisz, J., Finite difference method, in Handbook of Computational Solid Mechanics, Kleiber, M., Ed., Springer-Verlag, Berlin, 1998.
    • (1998) Handbook of Computational Solid Mechanics
    • Orkisz, J.1
  • 169
    • 0033322635 scopus 로고    scopus 로고
    • A new approach for numerical modal analysis using the element free method
    • Ouatouati, A. E. and Johnson, D. A., A new approach for numerical modal analysis using the element free method, Int. J. Numer. Methods Eng., 46, 1–27, 1999.
    • (1999) Int. J. Numer. Methods Eng. , vol.46 , pp. 1-27
    • Ouatouati, A.E.1    Johnson, D.A.2
  • 170
    • 0028498013 scopus 로고
    • Free vibration analysis and optimization of axisymmetrical plates and shells—I. Finite element formulation
    • Ozakca, M. and Hinton, E., Free vibration analysis and optimization of axisymmetrical plates and shells—I. Finite element formulation, Comput. Struct., 52, 1181–1197, 1994.
    • (1994) Comput. Struct. , vol.52 , pp. 1181-1197
    • Ozakca, M.1    Hinton, E.2
  • 171
    • 0001197913 scopus 로고
    • Vibration of curved plates
    • Petyt, M., Vibration of curved plates, J. Sound Vib., 15, 381–395, 1971.
    • (1971) J. Sound Vib. , vol.15 , pp. 381-395
    • Petyt, M.1
  • 174
    • 0001739142 scopus 로고
    • The theory of radial basis function approximation in 1990
    • Advances in Numerical Analysis, Light, F. W., Ed
    • Powell, M. J. D., The theory of radial basis function approximation in 1990, in Advances in Numerical Analysis, Light, F. W., Ed., Oxford University Press, Oxford, 1992, 303–322.
    • (1992) Oxford University Press, Oxford , pp. 303-322
    • Powell, M.J.D.1
  • 175
    • 0032655913 scopus 로고    scopus 로고
    • Error estimation and adaptive meshing in strongly nonlinear dynamic problems
    • Radovitzky, R. M. O., Error estimation and adaptive meshing in strongly nonlinear dynamic problems, Comput. Methods Appl. Mech. Eng., 172, 203–240, 1999.
    • (1999) Comput. Methods Appl. Mech. Eng. , vol.172 , pp. 203-240
    • Radovitzky, R.M.O.1
  • 176
    • 0001684166 scopus 로고
    • Calculation of oblique impact and fracture of tungsten cubes using smoothed particle hydrodynamics
    • Randles, P. W. et al., Calculation of oblique impact and fracture of tungsten cubes using smoothed particle hydrodynamics, Int. J. Impact Eng., 17, 1995.
    • (1995) Int. J. Impact Eng. , vol.17
    • Randles, P.W.1
  • 177
    • 0030405630 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics—some recent improvements and applications
    • Randles, P. W. and Libersky, L. D., Smoothed particle hydrodynamics—some recent improvements and applications, Comput. Methods Appl. Mech. Eng., 138, 375–408, 1996.
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.138 , pp. 375-408
    • Randles, P.W.1    Libersky, L.D.2
  • 178
    • 0021621010 scopus 로고
    • A simple higher-order theory for laminated composite plates
    • Reddy, J. N., A simple higher-order theory for laminated composite plates, J. Appl. Mech., 51, 745–752, 1984.
    • (1984) J. Appl. Mech. , vol.51 , pp. 745-752
    • Reddy, J.N.1
  • 182
    • 0033434521 scopus 로고    scopus 로고
    • An algorithm for selecting a good value for the parameter c in radial basis function interpolation
    • Rippa, S., An algorithm for selecting a good value for the parameter c in radial basis function interpolation, Adv. Comput. Math., 1, 193–210, 1999.
    • (1999) Adv. Comput. Math. , vol.1 , pp. 193-210
    • Rippa, S.1
  • 184
    • 0012209057 scopus 로고
    • Approximation of polynomials by radial basis functions
    • Laurent, P. J., Mehaute, L., and Schumaker, L. L., Eds., A. K. Peters Ltd. Wellesley, MA
    • Schaback, R., Approximation of polynomials by radial basis functions, in Wavelets, Images and Surface Fitting, Laurent, P. J., Mehaute, L., and Schumaker, L. L., Eds., A. K. Peters Ltd. Wellesley, MA, 1994, 459–466.
    • (1994) Wavelets, Images and Surface Fitting , pp. 459-466
    • Schaback, R.1
  • 185
    • 0010538226 scopus 로고
    • Consolidation of non-homogeneous clay layers
    • JSMFD, SM5
    • Schiffman, R. L. and Gibson, R. E., Consolidation of non-homogeneous clay layers, Proc. ASCE, JSMFD, 90(SM5), 1964.
    • (1964) Proc. ASCE , pp. 90
    • Schiffman, R.L.1    Gibson, R.E.2
  • 188
    • 0000246322 scopus 로고    scopus 로고
    • Application of the multiquadric method for numerical solution of elliptic partial differential equations
    • Sharan, M., Kansa, E. J., and Gupta, S., Application of the multiquadric method for numerical solution of elliptic partial differential equations, Appl. Math. Comput., 84, 275–302, 1997.
    • (1997) Appl. Math. Comput. , vol.84 , pp. 275-302
    • Sharan, M.1    Kansa, E.J.2    Gupta, S.3
  • 190
    • 0033177867 scopus 로고    scopus 로고
    • Application of differential quadrature method to simulate natural convection in a concentric annulus
    • Shu, C., Application of differential quadrature method to simulate natural convection in a concentric annulus, Int. J. Numer. Methods Fluids, 30, 977–993, 1999.
    • (1999) Int. J. Numer. Methods Fluids , vol.30 , pp. 977-993
    • Shu, C.1
  • 191
    • 0024619943 scopus 로고
    • On a stress resultant geometrically exact shell model, Part I: Formulation and optimal parameterization
    • Simo, J. and Fox, D. D., On a stress resultant geometrically exact shell model, Part I: formulation and optimal parameterization, Comput. Methods Appl. Mech. Eng., 72, 267–304, 1989.
    • (1989) Comput. Methods Appl. Mech. Eng. , vol.72 , pp. 267-304
    • Simo, J.1    Fox, D.D.2
  • 192
    • 0024641220 scopus 로고
    • On a stress resultant geometrically exact shell model, Part II: The linear theory; computational aspects
    • Simo, J., Fox, D. D., and Rifai, M. S., On a stress resultant geometrically exact shell model, Part II: The linear theory; computational aspects, Comput. Methods Appl. Mech. Eng., 73, 53–92, 1989.
    • (1989) Comput. Methods Appl. Mech. Eng. , vol.73 , pp. 53-92
    • Simo, J.1    Fox, D.D.2    Rifai, M.S.3
  • 193
    • 0040497597 scopus 로고
    • The symmetrical vibrations of a thin elastic plate
    • Sneddon, I. N., The symmetrical vibrations of a thin elastic plate, Proc. Cambridge Philos. Soc., 41, 27–43, 1945.
    • (1945) Proc. Cambridge Philos. Soc. , vol.41 , pp. 27-43
    • Sneddon, I.N.1
  • 195
    • 0014549903 scopus 로고
    • Flexure of simply-supported thick homogeneous and laminated rectangular plates
    • Srinivas, S., Kameswara Rao, A. K., and Joga Rao, C. V., Flexure of simply-supported thick homogeneous and laminated rectangular plates, ZAMM, 49, 449–458, 1969.
    • (1969) ZAMM , vol.49 , pp. 449-458
    • Srinivas, S.1    Kameswara Rao, A.K.2    Joga Rao, C.V.3
  • 196
    • 0000583873 scopus 로고
    • On the capabilities and limits of smoothed particle hydrodynamics
    • Steinmetz, M. and Muller, E., On the capabilities and limits of smoothed particle hydrodynamics, Astron. Astrophys., 268, 391–410, 1993.
    • (1993) Astron. Astrophys. , vol.268 , pp. 391-410
    • Steinmetz, M.1    Muller, E.2
  • 198
    • 0016050106 scopus 로고
    • Free vibration of shells of revolution using FEM
    • Subir, K. S. and Gould, P. L., Free vibration of shells of revolution using FEM, J. Eng. Mech. Div. ASCE EM2, 100, 283–303, 1974.
    • (1974) J. Eng. Mech. Div. ASCE EM , vol.100 , pp. 283-303
    • Subir, K.S.1    Gould, P.L.2
  • 199
    • 0029509963 scopus 로고
    • On the feasibility of using smoothed particle hydrodynamics for underwater explosion calculations
    • Swegle, J. W. and Attaway, S. W., On the feasibility of using smoothed particle hydrodynamics for underwater explosion calculations, Comput. Mech., 17, 151–168, 1995.
    • (1995) Comput. Mech. , vol.17 , pp. 151-168
    • Swegle, J.W.1    Attaway, S.W.2
  • 200
    • 0001364855 scopus 로고
    • Numerical simulation of viscous flow by smoothed particle hydrodynamics
    • Takeda, H., Miyama, S. M., and Sekiya, M., Numerical simulation of viscous flow by smoothed particle hydrodynamics, Prog. Theor. Phys., 92(5), 939–959, 1994.
    • (1994) Prog. Theor. Phys. , vol.92 , Issue.5 , pp. 939-959
    • Takeda, H.1    Miyama, S.M.2    Sekiya, M.3
  • 205
    • 0023245776 scopus 로고
    • High-precision finite element analysis of cylindrical shells
    • Tou, S. K. and Wong, K. K., High-precision finite element analysis of cylindrical shells, Comput. Struct., 26, 847–854, 1987.
    • (1987) Comput. Struct. , vol.26 , pp. 847-854
    • Tou, S.K.1    Wong, K.K.2
  • 206
    • 84895236254 scopus 로고    scopus 로고
    • An error estimate based on background cells for meshless methods
    • Atluri, S. N. and Brust, F. W., Eds., Tech Science Press, Palmdale, CA
    • Tu, Z. H. and Liu, G. R., An error estimate based on background cells for meshless methods, in Advances in Computational Engineering and Sciences, Atluri, S. N. and Brust, F. W., Eds., Tech Science Press, Palmdale, CA, 2000, 1487–1492.
    • (2000) Advances in Computational Engineering and Sciences , pp. 1487-1492
    • Tu, Z.H.1    Liu, G.R.2
  • 207
    • 0031506587 scopus 로고    scopus 로고
    • Multiresolution reproducing kernel particle methods in acoustics
    • Uras, R. A. et al., Multiresolution reproducing kernel particle methods in acoustics, J. Comput. Acoust., 5(1), 71–94, 1997.
    • (1997) J. Comput. Acoust. , vol.5 , Issue.1 , pp. 71-94
    • Uras, R.A.1
  • 208
    • 43149083966 scopus 로고
    • Buckling of rectangular Mindlin plates with internal line supports
    • Wang, C. M. et al., Buckling of rectangular Mindlin plates with internal line supports, Int. J. Solids Struct., 30, 1–17, 1993.
    • (1993) Int. J. Solids Struct. , vol.30 , pp. 1-17
    • Wang, C.M.1
  • 210
    • 0003127031 scopus 로고    scopus 로고
    • Radial point interpolation method for elastoplastic problems
    • December 7–9, Taipei, Taiwan
    • Wang, J. G. and Liu, G. R., Radial point interpolation method for elastoplastic problems, in Proc. 1st Int. Conf. on Structural Stability and Dynamics, December 7–9, Taipei, Taiwan, 2000, 703–708.
    • (2000) Proc. 1St Int. Conf. on Structural Stability and Dynamics , pp. 703-708
    • Wang, J.G.1    Liu, G.R.2
  • 212
    • 2042511903 scopus 로고    scopus 로고
    • A point interpolation meshless method based on radial basis functions
    • Wang, J. G. and Liu, G. R., A point interpolation meshless method based on radial basis functions, Int. J. Numer. Methods Eng., 2001b (in press).
    • (2001) Int. J. Numer. Methods Eng.
    • Wang, J.G.1    Liu, G.R.2
  • 213
    • 0037192730 scopus 로고    scopus 로고
    • On the optimal shape parameters of radial basis functions used for 2D meshless methods
    • Wang, J. G. and Liu, G. R., On the optimal shape parameters of radial basis functions used for 2D meshless methods, Comput. Method Appl. Mech. Engrg., 191, 2611–2630, 2002.
    • (2002) Comput. Method Appl. Mech. Engrg. , vol.191 , pp. 2611-2630
    • Wang, J.G.1    Liu, G.R.2
  • 214
    • 0035979618 scopus 로고    scopus 로고
    • A point interpolation method for simulating dissipation process of consolidation
    • Wang, J. G., Liu, G. R., and Wu, Y. G., A point interpolation method for simulating dissipation process of consolidation, Comput. Methods Appl. Mech. Eng., 190, 5907–5922, 2001.
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 5907-5922
    • Wang, J.G.1    Liu, G.R.2    Wu, Y.G.3
  • 215
    • 0000764217 scopus 로고    scopus 로고
    • Error estimates for interpolation by compactly supported radial basis functions of minimal degree
    • Wendland, H., Error estimates for interpolation by compactly supported radial basis functions of minimal degree, J. Approx. Theor., 93, 258–396, 1998.
    • (1998) J. Approx. Theor. , vol.93 , pp. 258-396
    • Wendland, H.1
  • 216
    • 0012114220 scopus 로고
    • Estimating density in smoothed particle hydrodynamics
    • Whitworth, A. P. et al., Estimating density in smoothed particle hydrodynamics, Astron. Astrophys., 301, 929–932, 1995.
    • (1995) Astron. Astrophys. , vol.301 , pp. 929-932
    • Whitworth, A.P.1
  • 217
    • 0003587632 scopus 로고    scopus 로고
    • A local-function approximation method for simulating two-dimensional incompressible flow
    • December, Singapore
    • Xu, X. G. and Liu, G. R., A local-function approximation method for simulating two-dimensional incompressible flow, in Proc. 4th International Asia-Pacific Conference on Computational Mechanics, December, Singapore, 1999, 1021–1026.
    • (1999) Proc. 4Th International Asia-Pacific Conference on Computational Mechanics , pp. 1021-1026
    • Xu, X.G.1    Liu, G.R.2
  • 218
    • 0030234048 scopus 로고    scopus 로고
    • Free mesh method, a kind of meshless finite element method
    • Yagawa, G. and Yamada, T., Free mesh method, a kind of meshless finite element method, Comput. Mech., 18, 383–386, 1996.
    • (1996) Comput. Mech. , vol.18 , pp. 383-386
    • Yagawa, G.1    Yamada, T.2
  • 219
    • 84882390812 scopus 로고    scopus 로고
    • Parallel computing with free mesh method: Virtually meshless FEM
    • Applications, Mang, H. A. and Rammerstorfer, F. G. Eds., Kluwer, Dordrecht, 1997, 165–172
    • Yagawa, G., Yamada, T., and Furukawa, T., Parallel computing with free mesh method: Virtually meshless FEM, in IUTAM Symp., Solid Mechanics and Its Applications, Mang, H. A. and Rammerstorfer, F. G. Eds., Kluwer, Dordrecht, 1997, 165–172.
    • IUTAM Symp., Solid Mechanics and Its
    • Yagawa, G.1    Yamada, T.2    Furukawa, T.3
  • 220
    • 0025588367 scopus 로고
    • Advances of thin shell finite elements and some applications— version I
    • Yang, H. T. Y., Saigal, S., and Liaw, D. G., Advances of thin shell finite elements and some applications— version I, Comput. Struct., 35, 481–504, 1990.
    • (1990) Comput. Struct. , vol.35 , pp. 481-504
    • Yang, H.T.Y.1    Saigal, S.2    Liaw, D.G.3
  • 222
    • 0032048673 scopus 로고    scopus 로고
    • A modified collocation and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
    • Zhu, T. and Atluri, S. N., A modified collocation and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method, Comput. Mech., 21, 211–222, 1998.
    • (1998) Comput. Mech. , vol.21 , pp. 211-222
    • Zhu, T.1    Atluri, S.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.