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Volumn 41, Issue 1, 2003, Pages 181-194

Domain decomposition for a mixed finite element method in three dimensions

Author keywords

Divergence free basis; Domain decomposition; Mixed finite element method; Second order elliptic problems

Indexed keywords

ALGEBRA; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; LINEAR SYSTEMS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 1842459358     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142996296935     Document Type: Article
Times cited : (7)

References (15)
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    • Bramble, J.H.1    Pasciak, J.E.2    Wang, J.3    Xu, J.4
  • 3
    • 38249004923 scopus 로고
    • Norm estimates of product operators with application to domain decomposition
    • Z. Cai, Norm estimates of product operators with application to domain decomposition, Appl. Math. Comp., 53 (1993), pp. 251-276.
    • (1993) Appl. Math. Comp. , vol.53 , pp. 251-276
    • Cai, Z.1
  • 4
    • 21844508844 scopus 로고
    • Balancing domain decomposition for mixed finite elements
    • L. C. Cowsar, J. Mandel, and M. F. Wheeler, Balancing domain decomposition for mixed finite elements, Math. Comp., 64 (1995), pp. 989-1015.
    • (1995) Math. Comp. , vol.64 , pp. 989-1015
    • Cowsar, L.C.1    Mandel, J.2    Wheeler, M.F.3
  • 5
    • 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 (1994), pp. 604-620.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 604-620
    • Dryja, M.1    Widlund, O.B.2
  • 6
    • 0001708409 scopus 로고
    • Analysis of the Schwarz algorithm for mixed finite element methods
    • R. E. Ewing and J. Wang Analysis of the Schwarz algorithm for mixed finite element methods, RAIRO Math. Modél. Anal. Numér., 26 (1992), pp. 739-756.
    • (1992) RAIRO Math. Modél. Anal. Numér , vol.26 , pp. 739-756
    • Ewing, R.E.1    Wang, J.2
  • 10
    • 0038948751 scopus 로고
    • Domain decomposition and iterative refinement methods for mied finite element discretizations of elliptic problems
    • Ph.D. Thesis, Courant Institute, New York
    • T. F. Mathew, Domain Decomposition and Iterative Refinement Methods for Mied Finite Element Discretizations of Elliptic Problems, Ph.D. Thesis, Courant Institute, New York, 1989.
    • (1989)
    • Mathew, T.F.1
  • 11
    • 0028669967 scopus 로고
    • Application of the mixed hybrid finite element approximation in a groundwater flow model: Luxury or necessity?
    • R. Mosé, P. Siegel, P. Ackerer, and G. Chavent, Application of the mixed hybrid finite element approximation in a groundwater flow model: Luxury or necessity?, Water Resources Res., 30 (1994), pp. 3001-3012.
    • (1994) Water Resources Res. , vol.30 , pp. 3001-3012
    • Mosé, R.1    Siegel, P.2    Ackerer, P.3    Chavent, G.4
  • 13
    • 0001175293 scopus 로고
    • A mixed finite element method for 2nd order elliptic problems
    • I. Galligani and E. Magenes, eds., Springer-Verlag, New York
    • P. A. Raviart and J. M. Thomas, A mixed finite element method for 2nd order elliptic problems, in Mathematical Aspects of Finite Element Methods, Lecture Notes in Math. 606, I. Galligani and E. Magenes, eds., Springer-Verlag, New York, 1977, pp. 292-315.
    • (1977) Mathematical Aspects of Finite Element Methods, Lecture Notes in Math. 606 , pp. 292-315
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  • 15
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    • Efficient solver for mixed and control-volume mixed finite element methods in three dimensions
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    • J. D. Wilson, Efficient Solver for Mixed and Control-Volume Mixed Finite Element Methods in Three Dimensions, Ph.D. Thesis, University of Colorado at Denver, Denver, CO, 2001; also available online at http://www-math.cudenver.edu/graduate/thesis/jwthesis.ps.gz.
    • (2001)
    • Wilson, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.