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Volumn 39, Issue 4, 1999, Pages 716-739

The Mortar Element Method with Locally Nonconforming Elements

Author keywords

Additive Schwarz method; Domain decomposition; Elliptic equations; Error estimate; Mortar finite element method; Nonconforming elements

Indexed keywords


EID: 0008498010     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022343324625     Document Type: Article
Times cited : (35)

References (16)
  • 3
    • 0003362526 scopus 로고
    • Sobolev spaces
    • Academic Press, New York
    • R. A. Adams, Sobolev Spaces, vol. 65 of Pure and Applied Mathematics, Academic Press, New York, 1975.
    • (1975) Pure and Applied Mathematics , vol.65
    • Adams, R.A.1
  • 4
    • 0005311960 scopus 로고    scopus 로고
    • The mortar element method for three-dimensional finite elements
    • F. Ben Belgacem and Y. Maday, The mortar element method for three-dimensional finite elements, RAIRO Modél. Math. Anal. Numér., 31 (1997), pp. 289-302.
    • (1997) RAIRO Modél. Math. Anal. Numér. , vol.31 , pp. 289-302
    • Ben Belgacem, F.1    Maday, Y.2
  • 5
    • 0002336587 scopus 로고
    • A new nonconforming approach to domain decomposition: The mortar element method
    • Collège de France Seminar, Paris
    • C. Bernardi, Y. Maday, and A. T. Patera, A new nonconforming approach to domain decomposition: The mortar element method, in Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XI (Paris, 1989-1991), vol. 299 of Pitman Res. Notes Math. Ser., Longman Sci. Tech., Harlow, 1994, pp. 13-51.
    • (1989) Nonlinear Partial Differential Equations and Their Applications , vol.11
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 6
    • 0043268576 scopus 로고
    • Longman Sci. Tech., Harlow
    • C. Bernardi, Y. Maday, and A. T. Patera, A new nonconforming approach to domain decomposition: The mortar element method, in Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XI (Paris, 1989- 1991), vol. 299 of Pitman Res. Notes Math. Ser., Longman Sci. Tech., Harlow, 1994, pp. 13-51.
    • (1994) Pitman Res. Notes Math. Ser. , vol.299 , pp. 13-51
  • 8
    • 0022918065 scopus 로고
    • Iterative methods for the solution of elliptic problems on regions partitioned into substructures
    • P. E. Bjørstad and O. B. Widlund, Iterative methods for the solution of elliptic problems on regions partitioned into substructures, SIAM J. Numer. Anal., 23 (1986), pp. 1097-1120.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 1097-1120
    • Bjørstad, P.E.1    Widlund, O.B.2
  • 9
    • 0003210742 scopus 로고
    • The Mathematical Theory of Finite Element Methods
    • Springer-Verlag, New York
    • S. C. Brenner and L. R. Scott, The Mathematical Theory of Finite Element Methods, vol. 15 of Texts in Applied Mathematics, Springer-Verlag, New York, 1994.
    • (1994) Texts in Applied Mathematics , vol.15
    • Brenner, S.C.1    Scott, L.R.2
  • 10
    • 0002565695 scopus 로고    scopus 로고
    • A hierarchical preconditioner for the mortar finite element method
    • M. A. Casarin and O. B. Widlund, A hierarchical preconditioner for the mortar finite element method, Electron. Trans. Numer. Anal., 4 (1996), pp. 75-88.
    • (1996) Electron. Trans. Numer. Anal. , vol.4 , pp. 75-88
    • Casarin, M.A.1    Widlund, O.B.2
  • 11
    • 0003204969 scopus 로고
    • The Finite Element Method for Elliptic Problems
    • North-Holland, Amsterdam
    • P. G. Ciarlet, The Finite Element Method for Elliptic Problems, vol. 4 of Studies in Mathematics and its Applications, North-Holland, Amsterdam, 1978.
    • (1978) Studies in Mathematics and Its Applications , vol.4
    • Ciarlet, P.G.1
  • 12
    • 0010039953 scopus 로고
    • Additive Schwarz methods for elliptic mortar finite element problems
    • Warsaw, Chapman & Hall, New York
    • M. Dryja, Additive Schwarz methods for elliptic mortar finite element problems, in Modelling and Optimization of Distributed Parameter Systems (Warsaw, 1995), Chapman & Hall, New York, 1996, pp. 31-50.
    • (1995) Modelling and Optimization of Distributed Parameter Systems , pp. 31-50
    • Dryja, M.1
  • 13
    • 0028753150 scopus 로고
    • Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions
    • M. Dryja, B. F. Smith, and O. B. Widlund, Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions, SIAM J. Numer. Anal., 31 (1994), pp. 1662-1694.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1662-1694
    • Dryja, M.1    Smith, B.F.2    Widlund, O.B.3
  • 14
    • 84990712164 scopus 로고
    • Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems
    • M. Dryja and O. B. Widlund, Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems, Comm. Pure Appl. Math., 48 (1995), pp. 121-155.
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 121-155
    • Dryja, M.1    Widlund, O.B.2
  • 15
    • 0030393213 scopus 로고    scopus 로고
    • Mortar element method for quasilinear elliptic boundary value problems
    • L. Marcinkowski, Mortar element method for quasilinear elliptic boundary value problems, East-West J. Numer. Math., 4 (1996), pp. 293-309.
    • (1996) East-west J. Numer. Math. , vol.4 , pp. 293-309
    • Marcinkowski, L.1
  • 16
    • 0031519837 scopus 로고    scopus 로고
    • Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements
    • M. Sarkis, Nonstandard coarse spaces and Schwarz methods for elliptic problems with discontinuous coefficients using non-conforming elements, Numer. Math., 77 (1997), pp. 383-406.
    • (1997) Numer. Math. , vol.77 , pp. 383-406
    • Sarkis, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.