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Volumn 193, Issue 12-14, 2004, Pages 1257-1275

Imposing essential boundary conditions in mesh-free methods

Author keywords

Coupling with finite elements; Essential boundary conditions; Lagrange multipliers; Mesh free methods; Nitsche's method

Indexed keywords

FINITE ELEMENT METHOD; GALERKIN METHODS; INTERPOLATION; MATHEMATICAL MODELS;

EID: 1842523044     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.12.019     Document Type: Article
Times cited : (427)

References (29)
  • 6
    • 0034723949 scopus 로고    scopus 로고
    • Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations
    • Bonet J. Kulasegaram S. Correction and stabilization of smooth particle hydrodynamics methods with applications in metal forming simulations Int. J. Numer. Methods Engrg. 47 6 2000 1189-1214
    • (2000) Int. J. Numer. Methods Engrg. , vol.47 , Issue.6 , pp. 1189-1214
    • Bonet, J.1    Kulasegaram, S.2
  • 7
    • 0032048673 scopus 로고    scopus 로고
    • A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
    • Zhu T. Atluri S.N. A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method Comput. Mech. 21 3 1998 211-222
    • (1998) Comput. Mech. , vol.21 , Issue.3 , pp. 211-222
    • Zhu, T.1    Atluri, S.N.2
  • 8
    • 1842535749 scopus 로고    scopus 로고
    • A particle-partition of unity method. Part V: Boundary conditions
    • S. Hildebrandt, & H. Karcher (Eds.), Berlin: Springer-Verlag
    • Griebel M. Schweitzer M.A. A particle-partition of unity method. Part V: Boundary conditions Hildebrandt S. Karcher H. Geometric Analysis and Nonlinear Partial Differential Equations 2002 517-540 Springer-Verlag Berlin
    • (2002) Geometric Analysis and Nonlinear Partial Differential Equations , pp. 517-540
    • Griebel, M.1    Schweitzer, M.A.2
  • 9
    • 1842545673 scopus 로고    scopus 로고
    • Meshless and generalized finite element methods: A survey of some major results
    • M. Griebel, & M. A. Schweitzer (Eds.), Berlin: Springer-Verlag International workshop, Universität Bonn, Germany, September 11-14, 2001 Lecture Notes in Computational Science and Engineering
    • Babuska I. Banerjee U. Osborn J.E. Meshless and generalized finite element methods: A survey of some major results Griebel M. Schweitzer M.A. Meshfree Methods for Partial Differential Equations, International workshop, Universität Bonn, Germany, September 11-14, 2001 Lecture Notes in Computational Science and Engineering vol. 26 2002 1-20 Springer-Verlag Berlin
    • (2002) Meshfree Methods for Partial Differential Equations , vol.26 , pp. 1-20
    • Babuska, I.1    Banerjee, U.2    Osborn, J.E.3
  • 10
    • 0030415105 scopus 로고    scopus 로고
    • Admissible approximations for essential boundary conditions in the reproducing kernel particle method
    • Gosz J. Liu W.K. Admissible approximations for essential boundary conditions in the reproducing kernel particle method Comput. Mech. 19 2 1996 120-135
    • (1996) Comput. Mech. , vol.19 , Issue.2 , pp. 120-135
    • Gosz, J.1    Liu, W.K.2
  • 11
    • 0029507340 scopus 로고
    • A coupled finite element-element-free Galerkin method
    • Belytschko T. Organ D. Krongauz Y. A coupled finite element-element-free Galerkin method Comput. Mech. 17 3 1995 186-195
    • (1995) Comput. Mech. , vol.17 , Issue.3 , pp. 186-195
    • Belytschko, T.1    Organ, D.2    Krongauz, Y.3
  • 12
    • 0034246130 scopus 로고    scopus 로고
    • Enrichment and coupling of the finite element and meshless methods
    • Huerta A. Fernández-Méndez S. Enrichment and coupling of the finite element and meshless methods Int. J. Numer. Methods Engrg. 48 11 2000 1615-1636
    • (2000) Int. J. Numer. Methods Engrg. , vol.48 , Issue.11 , pp. 1615-1636
    • Huerta, A.1    Fernández-Méndez, S.2
  • 13
    • 34250459417 scopus 로고
    • The finite element method with Lagrange multipliers
    • Babuska I. The finite element method with Lagrange multipliers Numer. Math. 20 1973 179-192
    • (1973) Numer. Math. , vol.20 , pp. 179-192
    • Babuska, I.1
  • 14
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers
    • Rouge
    • Brezzi F. On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers Rev. Française Automat. Informat. Recherche Opérationnelle Sér. Rouge 8 R-2 1974 129-151
    • (1974) Rev. Française Automat. Informat. Recherche Opérationnelle Sér , vol.8 , Issue.R-2 , pp. 129-151
    • Brezzi, F.1
  • 15
    • 0030413958 scopus 로고    scopus 로고
    • Reproducing kernel particle methods for large deformation analysis of non-linear
    • Chen J.S. Pan C. Wu C.T. Liu W.K. Reproducing kernel particle methods for large deformation analysis of non-linear Comput. Methods Appl. Mech. Engrg. 139 1-4 1996 195-227
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.139 , Issue.1-4 , pp. 195-227
    • Chen, J.S.1    Pan, C.2    Wu, C.T.3    Liu, W.K.4
  • 16
    • 0032154328 scopus 로고    scopus 로고
    • Implementation of boundary conditions for meshless methods
    • Günter F.C. Liu W.K. Implementation of boundary conditions for meshless methods Comput. Methods Appl. Mech. Engrg. 163 1-4 1998 205-230
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.163 , Issue.1-4 , pp. 205-230
    • Günter, F.C.1    Liu, W.K.2
  • 17
    • 0035127997 scopus 로고    scopus 로고
    • Hierarchical enrichment for bridging scales and meshfree boundary conditions
    • Wagner G.J. Liu W.K. Hierarchical enrichment for bridging scales and meshfree boundary conditions Int. J. Numer. Methods Engrg. 50 3 2000 507-524
    • (2000) Int. J. Numer. Methods Engrg. , vol.50 , Issue.3 , pp. 507-524
    • Wagner, G.J.1    Liu, W.K.2
  • 18
    • 0345529301 scopus 로고    scopus 로고
    • A reproducing kernel method with nodal interpolation property
    • Chen J.-S. Han W. You Y. Meng X. A reproducing kernel method with nodal interpolation property Int. J. Numer. Methods Engrg. 56 7 2003 935-960
    • (2003) Int. J. Numer. Methods Engrg. , vol.56 , Issue.7 , pp. 935-960
    • Chen, J.-S.1    Han, W.2    You, Y.3    Meng, X.4
  • 21
    • 1842597976 scopus 로고    scopus 로고
    • Coupling finite elements and particles for adaptivity: An application to consistently stabilized convection-diffusion
    • M. Griebel, & M. A. Schweitzer (Eds.), Berlin: Springer-Verlag International workshop, Universität Bonn, Germany, September 11-14, 2001 Lecture Notes in Computational Science and Engineering
    • Fernández-Méndez S. Huerta A. Coupling finite elements and particles for adaptivity: an application to consistently stabilized convection-diffusion Griebel M. Schweitzer M.A. Meshfree Methods for Partial Differential Equations, International workshop, Universität Bonn, Germany, September 11-14, 2001 Lecture Notes in Computational Science and Engineering vol. 26 2002 117-129 Springer-Verlag Berlin
    • (2002) Meshfree Methods for Partial Differential Equations , vol.26 , pp. 117-129
    • Fernández-Méndez, S.1    Huerta, A.2
  • 22
    • 0036880524 scopus 로고    scopus 로고
    • Enrichissement des interpolations d' éléments finis en utilisant des méthodes de particules
    • Huerta A. Fernández-Méndez S. Díez P. Enrichissement des interpolations d' éléments finis en utilisant des méthodes de particules ESAIM--Math. Model. Numer. Anal. 36 6 2002 1027-1042
    • (2002) ESAIM - Math. Model. Numer. Anal. , vol.36 , Issue.6 , pp. 1027-1042
    • Huerta, A.1    Fernández-Méndez, S.2    Díez, P.3
  • 23
    • 0742306488 scopus 로고    scopus 로고
    • Convergence of finite elements enriched with meshless methods
    • Fernández-Méndez S. Díez P. Huerta A. Convergence of finite elements enriched with meshless methods Numer. Math. 96 1 2003 43-59
    • (2003) Numer. Math. , vol.96 , Issue.1 , pp. 43-59
    • Fernández-Méndez, S.1    Díez, P.2    Huerta, A.3
  • 24
    • 84966227273 scopus 로고
    • The finite element method with penalty
    • Babuska I. The finite element method with penalty Math. Comp. 27 1973 221-228
    • (1973) Math. Comp. , vol.27 , pp. 221-228
    • Babuska, I.1
  • 25
    • 0036410391 scopus 로고    scopus 로고
    • Unified analysis of discontinuous Galerkin methods for elliptic problems
    • Arnold D.N. Brezzi F. Cockburn B. Marini L.D. Unified analysis of discontinuous Galerkin methods for elliptic problems SIAM J. Numer. Anal. 39 5 2002 1749-1779
    • (2002) SIAM J. Numer. Anal. , vol.39 , Issue.5 , pp. 1749-1779
    • Arnold, D.N.1    Brezzi, F.2    Cockburn, B.3    Marini, L.D.4
  • 26
    • 84951671794 scopus 로고
    • Über ein variations zur lösung von dirichlet-problemen bei verwendung von teilräumen die keinen randbedingungen unterworfen sind
    • Nitsche J. Über ein variations zur lösung von dirichlet-problemen bei verwendung von teilräumen die keinen randbedingungen unterworfen sind Abh. Math. Se. Univ. 36 1970 9-15
    • (1970) Abh. Math. Se. Univ. , vol.36 , pp. 9-15
    • Nitsche, J.1
  • 27
    • 0036740009 scopus 로고    scopus 로고
    • Mesh adaptation for dirichlet flow control via Nitsche's method
    • Becker R. Mesh adaptation for dirichlet flow control via Nitsche's method Commun. Numer. Methods Engrg. 18 9 2002 669-680
    • (2002) Commun. Numer. Methods Engrg. , vol.18 , Issue.9 , pp. 669-680
    • Becker, R.1
  • 29
    • 0037085994 scopus 로고    scopus 로고
    • Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
    • Hansbo P. Larson M.G. Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method Comput. Methods Appl. Mech. Engrg. 191 17-18 2002 1895-1908
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , Issue.17-18 , pp. 1895-1908
    • Hansbo, P.1    Larson, M.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.