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Volumn 74, Issue 250, 2005, Pages 543-554

A new family of stable mixed finite elements for the 3D Stokes equations

Author keywords

Finite element; Inf sup condition; Mixed element; Multigrid method; Stokes problem

Indexed keywords


EID: 14944362609     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-04-01711-9     Document Type: Article
Times cited : (282)

References (16)
  • 1
    • 51249186403 scopus 로고
    • A stable finite element for the Stokes equations
    • MR86m:65136
    • D. N. Arnold, F. Brezzi and M. Fortin, A stable finite element for the Stokes equations, Calcolo 21 (1984), 337-344. MR86m:65136
    • (1984) Calcolo , vol.21 , pp. 337-344
    • Arnold, D.N.1    Brezzi, F.2    Fortin, M.3
  • 8
    • 0001582079 scopus 로고
    • Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
    • MR87i:65190
    • L. R. Scott and M. Vogelius, Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials, Math. Modelling Numer. Anal. 19 (1985), 111-143. MR87i:65190
    • (1985) Math. Modelling Numer. Anal. , vol.19 , pp. 111-143
    • Scott, L.R.1    Vogelius, M.2
  • 9
    • 84966200902 scopus 로고
    • Finite-element interpolation of non-smooth functions satisfying boundary conditions
    • MR90j:65021
    • L. R. Scott and S. Zhang, Finite-element interpolation of non-smooth functions satisfying boundary conditions, Math. Comp. 54 (1990), 483-493. MR90j:65021
    • (1990) Math. Comp. , vol.54 , pp. 483-493
    • Scott, L.R.1    Zhang, S.2
  • 11
    • 84968512389 scopus 로고
    • Analysis of mixed finite element methods for the Stokes problem: A unified approach
    • MR84k:76014
    • R. Stenberg, Analysis of mixed finite element methods for the Stokes problem: A unified approach, Math. Comp. 42 (1984), 9-23. MR84k:76014
    • (1984) Math. Comp. , vol.42 , pp. 9-23
    • Stenberg, R.1
  • 12
    • 0023389726 scopus 로고
    • On some three-dimensional finite elements for incompressible media
    • MR88i:73050
    • R. Stenberg, On some three-dimensional finite elements for incompressible media, Comput. Methods Appl. Mech. Engrg. 63 (1987), 261-269. MR88i:73050
    • (1987) Comput. Methods Appl. Mech. Engrg. , vol.63 , pp. 261-269
    • Stenberg, R.1
  • 13
    • 0004032483 scopus 로고
    • Ph. Dissertation, Department of Mathematics, Pennsylvania State University
    • S. Zhang, Multi-level Iterative Techniques, Ph. Dissertation, Department of Mathematics, Pennsylvania State University, 1988.
    • (1988) Multi-level Iterative Techniques
    • Zhang, S.1
  • 14
    • 0039803032 scopus 로고
    • Successive subdivisions of tetrahedra and multigrid methods on tetrahedral meshes
    • MR96f:65183
    • S. Zhang, Successive subdivisions of tetrahedra and multigrid methods on tetrahedral meshes, Houston J. of Math. (1995), 541-556. MR96f:65183
    • (1995) Houston J. of Math. , pp. 541-556
    • Zhang, S.1
  • 15
    • 0041151581 scopus 로고
    • 1 finite-element equations
    • MR90j:65135
    • 1 finite-element equations, Numer. Math. 56 (1989), 613-624. MR90j:65135
    • (1989) Numer. Math. , vol.56 , pp. 613-624
    • Zhang, S.1
  • 16
    • 84966240318 scopus 로고
    • Optimal order non-nested multigrid methods for solving finite element equations I: On quasiuniform meshes
    • MR91g:65268
    • S. Zhang, Optimal order non-nested multigrid methods for solving finite element equations I: on quasiuniform meshes, Math. Comp. 55 (1990), 23-36. MR91g:65268
    • (1990) Math. Comp. , vol.55 , pp. 23-36
    • Zhang, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.