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Volumn 190, Issue 5-7, 2000, Pages 431-485

Hybrid coupled finite-boundary element methods for elliptic systems of second order

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; ELASTICITY; ERROR ANALYSIS; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; PARALLEL PROCESSING SYSTEMS; STIFFNESS MATRIX; STRESS ANALYSIS;

EID: 0034318758     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00423-5     Document Type: Article
Times cited : (23)

References (65)
  • 1
    • 0001084687 scopus 로고
    • The convergence of spline collocation for strongly elliptic equations on curves
    • D.N. Arnold, W.L. Wendland, The convergence of spline collocation for strongly elliptic equations on curves, Numer. Math. 47 (1985) 317-341.
    • (1985) Numer. Math. , vol.47 , pp. 317-341
    • Arnold, D.N.1    Wendland, W.L.2
  • 4
    • 0010194989 scopus 로고
    • Couplage de méthodes spectrales et d'éléments finis: Premiers résultats d'approximation
    • series I
    • C. Bernardi, N. Debit, Y. Maday, Couplage de méthodes spectrales et d'éléments finis: premiers résultats d'approximation, C.R. Acad. Sci. Paris 305 (series I) (1986) pp. 353-356.
    • (1986) C.R. Acad. Sci. Paris , vol.305 , pp. 353-356
    • Bernardi, C.1    Debit, N.2    Maday, Y.3
  • 5
    • 0002336587 scopus 로고
    • A new nonconforming approach to domain decomposition: The mortar element method
    • H. Brezis, J. L. Lions (Eds.)
    • C. Bernardi, Y. Maday, A.T. Patera, A new nonconforming approach to domain decomposition: the mortar element method, in: H. Brezis, J. L. Lions (Eds.), Collège de France Seminar XI, 1994, pp. 13-51.
    • (1994) Collège de France Seminar , vol.11 , pp. 13-51
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 6
    • 0000713962 scopus 로고    scopus 로고
    • A multigrid algorithm for the mortar finite element method
    • D. Braess, W. Dahmen, Ch. Wieners, A multigrid algorithm for the mortar finite element method, SIAM J. Numer. Anal. 37 (2000) 48-69.
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 48-69
    • Braess, D.1    Dahmen, W.2    Wieners, Ch.3
  • 7
    • 0018478567 scopus 로고
    • Combination of boundary and finite elements in elastostatics
    • C.A. Brebbia, P. Georgiou, Combination of boundary and finite elements in elastostatics, Appl. Math. Modelling 3 (1979) 212-220.
    • (1979) Appl. Math. Modelling , vol.3 , pp. 212-220
    • Brebbia, C.A.1    Georgiou, P.2
  • 9
    • 51249185923 scopus 로고
    • On the coupling of integral and finite element methods
    • F. Brezzi, C. Johnson, On the coupling of integral and finite element methods, Calcolo 16 (1979) 189-201.
    • (1979) Calcolo , vol.16 , pp. 189-201
    • Brezzi, F.1    Johnson, C.2
  • 11
    • 0039835184 scopus 로고    scopus 로고
    • Fast parallel solvers for symmetric boundary element domain decomposition equations
    • C. Carstensen, M. Kuhn, U. Langer, Fast parallel solvers for symmetric boundary element domain decomposition equations, Numer. Math. 79 (1998) 321-347.
    • (1998) Numer. Math. , vol.79 , pp. 321-347
    • Carstensen, C.1    Kuhn, M.2    Langer, U.3
  • 13
    • 0000438610 scopus 로고
    • Boundary integral operators on Lipschitz domains: Elementary results
    • M. Costabel, Boundary integral operators on Lipschitz domains: elementary results, SIAM J. Math. Anal. 19 (1987/88) 613-626.
    • (1987) SIAM J. Math. Anal. , vol.19 , pp. 613-626
    • Costabel, M.1
  • 14
    • 0037975706 scopus 로고
    • Integral equations for transmission problems in linear elasticity
    • M. Costabel, E. Stephan, Integral equations for transmission problems in linear elasticity, J. Integral Equations Appl. 2 (1990) 211-223.
    • (1990) J. Integral Equations Appl. , vol.2 , pp. 211-223
    • Costabel, M.1    Stephan, E.2
  • 15
    • 84961469047 scopus 로고
    • Strong ellipticity of boundary integral operators
    • M. Costabel, W.L. Wendland, Strong ellipticity of boundary integral operators, J. Reine Angew. Mathematik 372 (1986) 34-63.
    • (1986) J. Reine Angew. Mathematik , vol.372 , pp. 34-63
    • Costabel, M.1    Wendland, W.L.2
  • 16
    • 84966243417 scopus 로고
    • 2-projection onto finite element function spaces
    • 2-projection onto finite element function spaces, Math. Comp. 48 (1987) 521-532.
    • (1987) Math. Comp. , vol.48 , pp. 521-532
    • Crouzeix, L.1    Thomée, V.2
  • 17
    • 0000390501 scopus 로고
    • Existence theorems in elasticity; and: Unilateral constraints in elasticity
    • S. Flügge (Ed.), Berlin
    • G. Fichera, Existence theorems in elasticity; and: Unilateral constraints in elasticity, in: S. Flügge (Ed.), Handbuch der Physik, Berlin, VI a/2, 1972, pp. 347-424.
    • (1972) Handbuch der Physik , vol.6 , Issue.A-2 , pp. 347-424
    • Fichera, G.1
  • 18
    • 0000994280 scopus 로고
    • The coupling of boundary element and finite element methods
    • G.C. Hsiao, The coupling of boundary element and finite element methods, ZAMM 70 (1990) T493-T503.
    • (1990) ZAMM , vol.70
    • Hsiao, G.C.1
  • 22
    • 0026104195 scopus 로고
    • On the Dirichlet problem in elasticity for a domain exterior to an arc
    • G.C. Hsiao, E.P. Stephan, W.L. Wendland, On the Dirichlet problem in elasticity for a domain exterior to an arc, J. Comp. Appl. Math. 34 (1991) 1-19.
    • (1991) J. Comp. Appl. Math. , vol.34 , pp. 1-19
    • Hsiao, G.C.1    Stephan, E.P.2    Wendland, W.L.3
  • 23
    • 0004764295 scopus 로고
    • On a boundary integral method for some exterior problems in elasticity
    • Proceedings of the Tbilissi University (Trudy Tbiliskogo Ordena Trud. Krasn. Znam. Gosud. Univ.) UDK 539.3
    • G.C. Hsiao, W.L. Wendland, On a boundary integral method for some exterior problems in elasticity, in: Proceedings of the Tbilissi University (Trudy Tbiliskogo Ordena Trud. Krasn. Znam. Gosud. Univ.) UDK 539.3, Math. Mech. Astron., vol. 257, 1985, pp. 31-60.
    • (1985) Math. Mech. Astron. , vol.257 , pp. 31-60
    • Hsiao, G.C.1    Wendland, W.L.2
  • 24
    • 0019632578 scopus 로고
    • The Aubin-Nitsche lemma for integral equations
    • G.C. Hsiao, W.L. Wendland, The Aubin-Nitsche lemma for integral equations, J. Integral Equations 3 (1983) 299-315.
    • (1983) J. Integral Equations , vol.3 , pp. 299-315
    • Hsiao, G.C.1    Wendland, W.L.2
  • 26
    • 0006023070 scopus 로고
    • Domain decomposition via boundary element methods
    • H. Alder, et al. (Eds.), CIMNE, Barcelona
    • G.C. Hsiao, W.L. Wendland, Domain decomposition via boundary element methods, in: H. Alder, et al. (Eds.), Numerical Methods in Engineering and Applied Sciences, Part I, CIMNE, Barcelona, 1992, pp. 198-207.
    • (1992) Numerical Methods in Engineering and Applied Sciences , Issue.1 PART , pp. 198-207
    • Hsiao, G.C.1    Wendland, W.L.2
  • 28
    • 0040113392 scopus 로고
    • Form factor of a strip with an elliptic hole in tension and bending
    • Tokushima University
    • M. Isida, Form factor of a strip with an elliptic hole in tension and bending, Scientific Papers of Faculty of Eng., vol. 4, Tokushima University, 1953, pp. 70-86.
    • (1953) Scientific Papers of Faculty of Eng. , vol.4 , pp. 70-86
    • Isida, M.1
  • 29
    • 84974449566 scopus 로고
    • On the discrete approximation of eigenvalue problems with holomorphic parameter dependence
    • H. Jeggle, W.L. Wendland, On the discrete approximation of eigenvalue problems with holomorphic parameter dependence, Proc. Royal Soc. Edinburgh A 78 (1977) 1-29.
    • (1977) Proc. Royal Soc. Edinburgh A , vol.78 , pp. 1-29
    • Jeggle, H.1    Wendland, W.L.2
  • 30
    • 84988164406 scopus 로고
    • Non-classical interface problems for piecewise homogeneous anisotropic elastic bodies
    • L. Jentsch, D. Natroshvili, Non-classical interface problems for piecewise homogeneous anisotropic elastic bodies, Math. Meth. Appl. Sci. 18 (1995) 27-49.
    • (1995) Math. Meth. Appl. Sci. , vol.18 , pp. 27-49
    • Jentsch, L.1    Natroshvili, D.2
  • 34
    • 84988164804 scopus 로고
    • The norm and the essential norm of the double layer elastic and hydrodynamic potentials in the space of continuous functions
    • G.I. Kresin, V.G. Maz'ya, The norm and the essential norm of the double layer elastic and hydrodynamic potentials in the space of continuous functions, Math. Methods Appl. Sci. 18 (1995) 1095-1131.
    • (1995) Math. Methods Appl. Sci. , vol.18 , pp. 1095-1131
    • Kresin, G.I.1    Maz'ya, V.G.2
  • 36
    • 0003347537 scopus 로고
    • Boundary integral equations
    • V.G. Maz'ya, S.M. Nikolskii, (Eds.), Springer, Berlin
    • V.G. Maz'ya, Boundary integral equations, in: V.G. Maz'ya, S.M. Nikolskii, (Eds.), Analysis IV, Encyclopaedia of Mathematical Sciences, vol. 27, Springer, Berlin, 1991, pp. 127-212.
    • (1991) Analysis IV, Encyclopaedia of Mathematical Sciences , vol.27 , pp. 127-212
    • Maz'ya, V.G.1
  • 41
    • 0015482187 scopus 로고
    • Finite element methods in continuum mechanics
    • C.S. Yih, (Ed.), Academic Press, New York
    • T.H.H. Pian, P. Tong, Finite element methods in continuum mechanics, in: C.S. Yih, (Ed.), Advances in Applied Mechanics, vol. 12, Academic Press, New York, 1972, pp. 1-57.
    • (1972) Advances in Applied Mechanics , vol.12 , pp. 1-57
    • Pian, T.H.H.1    Tong, P.2
  • 42
    • 84984059702 scopus 로고
    • Variational formulations for coupled BE/FE methods in elastostatics
    • C. Polizzotto, M. Zito, Variational formulations for coupled BE/FE methods in elastostatics, ZAMM 74 (1994) 533-543.
    • (1994) ZAMM , vol.74 , pp. 533-543
    • Polizzotto, C.1    Zito, M.2
  • 46
    • 0022289105 scopus 로고
    • Stress analysis with a combination of HSM and BEM
    • J.R. Whiteman (Ed.), Academic Press, London
    • E. Schnack, Stress analysis with a combination of HSM and BEM, In: J.R. Whiteman (Ed.), Proceedings of the MAFELAP 1984 V, Academic Press, London, 1985, 273-281.
    • (1985) Proceedings of the MAFELAP 1984 , vol.5 , pp. 273-281
    • Schnack, E.1
  • 47
    • 0023346862 scopus 로고
    • A hybrid BEM-model
    • E. Schnack, A hybrid BEM-model, Int. J. Num. Eng. 5 (1987) 1015-1025.
    • (1987) Int. J. Num. Eng. , vol.5 , pp. 1015-1025
    • Schnack, E.1
  • 48
    • 0038929131 scopus 로고
    • Three-dimensional coupling of FEM and BEM in elasticity
    • G. Kuhn, H. Mang (Eds.), Springer, Berlin
    • E. Schnack, I. Becker, N. Karaosmanoglu, Three-dimensional coupling of FEM and BEM in elasticity, in: G. Kuhn, H. Mang (Eds.), Discretization Methods in Structural Mechanics, Springer, Berlin, 1990, pp. 415-425.
    • (1990) Discretization Methods in Structural Mechanics , pp. 415-425
    • Schnack, E.1    Becker, I.2    Karaosmanoglu, N.3
  • 49
    • 0039521712 scopus 로고
    • Modelling of finite element functions using generalized BEM
    • F. Kuhnert, B. Silbermann (Eds.), Teubner, Leipzig
    • E. Schnack, N. Karaosmanoglu, I. Becker, Modelling of finite element functions using generalized BEM, in: F. Kuhnert, B. Silbermann (Eds.), Problems and Methods in Mathematical Physics (9. TMP), Teubner, Leipzig, 1989, pp. 245-256.
    • (1989) Problems and Methods in Mathematical Physics (9. TMP) , pp. 245-256
    • Schnack, E.1    Karaosmanoglu, N.2    Becker, I.3
  • 50
    • 0039521711 scopus 로고
    • Macroelements constructed with a nonconforming coupling technique of BEM and FEM
    • F. Navarrina, M. Casteleiro (Eds.)
    • E. Schnack, K. Türke, Macroelements constructed with a nonconforming coupling technique of BEM and FEM, in: F. Navarrina, M. Casteleiro (Eds.), Métodos Numéricos en Ingenieria I (1993) 62-72.
    • (1993) Métodos Numéricos en Ingenieria , vol.1 , pp. 62-72
    • Schnack, E.1    Türke, K.2
  • 54
    • 0032359242 scopus 로고    scopus 로고
    • The construction of some efficient preconditioners in the boundary element method
    • O. Steinbach, W.L. Wendland, The construction of some efficient preconditioners in the boundary element method, Adv. Comp. Math. 9 (1998) 191-216.
    • (1998) Adv. Comp. Math. , vol.9 , pp. 191-216
    • Steinbach, O.1    Wendland, W.L.2
  • 55
    • 0001517665 scopus 로고
    • A hypersingular boundary integral method for two-dimensional screen and crack problem
    • E.P. Stephan, W.L. Wendland, A hypersingular boundary integral method for two-dimensional screen and crack problem, Arch. Rational Mech. Anal. 42 (1990) 363-390.
    • (1990) Arch. Rational Mech. Anal. , vol.42 , pp. 363-390
    • Stephan, E.P.1    Wendland, W.L.2
  • 57
    • 0015752021 scopus 로고
    • A hybrid element approach to crack problems in plane elasticity
    • P. Tong, T.H. Pian, S.J. Lasry, A hybrid element approach to crack problems in plane elasticity, J. Numer. Methods Eng. 7 (1973) 297-308.
    • (1973) J. Numer. Methods Eng. , vol.7 , pp. 297-308
    • Tong, P.1    Pian, T.H.2    Lasry, S.J.3
  • 59
    • 0342931224 scopus 로고
    • On an approach to solving mixed boundary value problems of elasticity theory by the potential method
    • Akad. Nauk Arm. SSR, Erevan
    • A.G. Ugodchikov, N.M. Khutoryanski, On an approach to solving mixed boundary value problems of elasticity theory by the potential method, in: Proceedings of the All-Union Conference on Elasticity Theory, Akad. Nauk Arm. SSR, Erevan, 1979, pp. 345-347.
    • (1979) Proceedings of the All-Union Conference on Elasticity Theory , pp. 345-347
    • Ugodchikov, A.G.1    Khutoryanski, N.M.2
  • 60
    • 34250534178 scopus 로고
    • 3 mit Hilfe von Einfach-und Doppelschichtpotentialen
    • 3 mit Hilfe von Einfach-und Doppelschichtpotentialen, Numer. Math. 11 (1968) 187-207.
    • (1968) Numer. Math. , vol.11 , pp. 187-207
    • Wendland, W.L.1
  • 62
    • 0013690224 scopus 로고
    • On the coupling of finite and boundary elements
    • G. Kuhn, H. Mang (Eds.), Springer, Berlin
    • W.L. Wendland, On the coupling of finite and boundary elements, in: G. Kuhn, H. Mang (Eds.), Discretization Methods In Structural Mechanics, Springer, Berlin, 1990, pp. 405-414.
    • (1990) Discretization Methods in Structural Mechanics , pp. 405-414
    • Wendland, W.L.1
  • 63
    • 84979105733 scopus 로고
    • On the integral equation method for the plane mixed boundary value problem of the Laplacian
    • W.L. Wendland, E.P. Stephan, G.C. Hsiao, On the integral equation method for the plane mixed boundary value problem of the Laplacian, Math. Meth. Appl. Sci. 1 (1979) 265-321.
    • (1979) Math. Meth. Appl. Sci. , vol.1 , pp. 265-321
    • Wendland, W.L.1    Stephan, E.P.2    Hsiao, G.C.3
  • 64
    • 0017438738 scopus 로고
    • The coupling of the finite element method and boundary solution procedures
    • O.C. Zienkiewicz, D.W. Kelly, P. Bettess, The coupling of the finite element method and boundary solution procedures, Int. J. Numer. Meth. Eng. 11 (1977) 335-375.
    • (1977) Int. J. Numer. Meth. Eng. , vol.11 , pp. 335-375
    • Zienkiewicz, O.C.1    Kelly, D.W.2    Bettess, P.3
  • 65
    • 0006096210 scopus 로고
    • Marriage à la mode - The best of both worlds (finite elements and boundary integrals)
    • R. Glowinski, E.Y. Rodin, O.C. Zienkiewicz (Eds.), Wiley, New York
    • O.C. Zienkiewicz, D.W. Kelly, P. Bettess, Marriage à la mode - the best of both worlds (finite elements and boundary integrals), in: R. Glowinski, E.Y. Rodin, O.C. Zienkiewicz (Eds.), Energy Methods in Finite Element Analysis, Wiley, New York, 1979, pp. 81-107.
    • (1979) Energy Methods in Finite Element Analysis , pp. 81-107
    • Zienkiewicz, O.C.1    Kelly, D.W.2    Bettess, P.3


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