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Volumn 145, Issue 3-4, 1997, Pages 361-379

Non-overlapping domain decomposition methods for adaptive hp approximations of the Stokes problem with discontinuous pressure fields

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FINITE ELEMENT METHOD; PROBLEM SOLVING;

EID: 0031163576     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01207-8     Document Type: Article
Times cited : (42)

References (15)
  • 1
    • 0041051618 scopus 로고
    • A preconditioner based on domain decomposition of hp finite element approximation on quasi-uniform meshes
    • University of Leicester
    • M. Ainsworth, A preconditioner based on domain decomposition of hp finite element approximation on quasi-uniform meshes. Mathematical and Computer Science Technical Reports. University of Leicester, no. 16, 1993.
    • (1993) Mathematical and Computer Science Technical Reports , Issue.16
    • Ainsworth, M.1
  • 2
    • 51249186403 scopus 로고
    • A stable finite element for the Stokes equation
    • D.N. Arnold, F. Brezzi and M. Fortin, A stable finite element for the Stokes equation. Calcolo (1984) 3337-3344.
    • (1984) Calcolo , pp. 3337-3344
    • Arnold, D.N.1    Brezzi, F.2    Fortin, M.3
  • 3
    • 0026169599 scopus 로고
    • Efficient preconditioning for the p version finite element method in two dimensions
    • I. Babuska, A. Craig, J. Mandel and J. Pitkaranta, Efficient preconditioning for the p version finite element method in two dimensions, SIAM J. Numer. Anal. 28(3) (1991) 624-661.
    • (1991) SIAM J. Numer. Anal. , vol.28 , Issue.3 , pp. 624-661
    • Babuska, I.1    Craig, A.2    Mandel, J.3    Pitkaranta, J.4
  • 5
    • 84966199070 scopus 로고
    • The construction of preconditioners for elliptic problems by substructuring I
    • J. Bramble, J. Pasciak and A. Schatz. The construction of preconditioners for elliptic problems by substructuring I, Math. Comput. 47(175) (1986) 103-134.
    • (1986) Math. Comput. , vol.47 , Issue.175 , pp. 103-134
    • Bramble, J.1    Pasciak, J.2    Schatz, A.3
  • 7
    • 0002059273 scopus 로고
    • Towards a unified theory of domain decomposition algorithms for elliptic problems
    • T. Chan, R. Glowinski, J. Periaux and O.B. Widlund, eds., SIAM, Philadelphia, PA
    • M. Dryja and O.B. Widlund, Towards a unified theory of domain decomposition algorithms for elliptic problems, in: T. Chan, R. Glowinski, J. Periaux and O.B. Widlund, eds., Third International Symposium on Domain Decomposition Methods for Partial Differential Equations (SIAM, Philadelphia, PA, 1988).
    • (1988) Third International Symposium on Domain Decomposition Methods for Partial Differential Equations
    • Dryja, M.1    Widlund, O.B.2
  • 8
    • 0001159513 scopus 로고
    • Domain decomposition algorithms with small overlap
    • M. Dryja and O.B. Widlund, Domain decomposition algorithms with small overlap, SIAM J. Sci. Comput. 15(3) (1994).
    • (1994) SIAM J. Sci. Comput. , vol.15 , Issue.3
    • Dryja, M.1    Widlund, O.B.2
  • 10
    • 0028369940 scopus 로고
    • Domain decomposition methods in computational mechanics
    • J.T. Oden, ed., North Holland
    • P. Le Tallec, Domain decomposition methods in computational mechanics, in: J.T. Oden, ed., Computational Mechanics Advances, Vol. 1, No. 2 (North Holland, 1994) 121-220.
    • (1994) Computational Mechanics Advances , vol.1 , Issue.2 , pp. 121-220
    • Le Tallec, P.1
  • 12
    • 0027558407 scopus 로고
    • Balancing domain decomposition
    • J. Mandel, Balancing domain decomposition, Comm. Numer. Methods Engrg. 9 (1993) 233-241.
    • (1993) Comm. Numer. Methods Engrg. , vol.9 , pp. 233-241
    • Mandel, J.1
  • 15
    • 0002891427 scopus 로고
    • Iterative substructuring methods: Algorithms and theory for elliptic problems in the plane
    • R. Glowinski, G.H. Golub, G.A. Meurant and J. Périaux, eds., SIAM, Philadelphia, PA
    • O.B. Widlund, Iterative substructuring methods: Algorithms and theory for elliptic problems in the plane, in: R. Glowinski, G.H. Golub, G.A. Meurant and J. Périaux, eds., First International Symposium on Domain Decomposition Methods for Partial Differential Equations (SIAM, Philadelphia, PA, 1988).
    • (1988) First International Symposium on Domain Decomposition Methods for Partial Differential Equations
    • Widlund, O.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.