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Volumn 10, Issue 7, 2003, Pages 619-637

Nested tetrahedral grids and strengthened C.B.S. inequality

Author keywords

Multi level preconditioners; Nested tetrahedral FE decompositions; Strengthened C.B.S. inequality; Universal estimates of the C.B.S. constant

Indexed keywords


EID: 0242319485     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.340     Document Type: Article
Times cited : (14)

References (18)
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    • Braess, D.1
  • 4
    • 0003787979 scopus 로고
    • The contraction number of a class of two-level methods, an exact evaluation for some finite element subspaces and model problems
    • Hackbusch W, Trottenberg U (eds). Lecture Notes in Mathematics, Springer: Berlin
    • Maitre JF, Musy F. The contraction number of a class of two-level methods, an exact evaluation for some finite element subspaces and model problems. In Multigrid Methods, Hackbusch W, Trottenberg U (eds). Lecture Notes in Mathematics, vol. 960, Springer: Berlin, 1982; 535-544.
    • (1982) Multigrid Methods , vol.960 , pp. 535-544
    • Maitre, J.F.1    Musy, F.2
  • 5
    • 0026219648 scopus 로고
    • The role of strengthened Cauchy-Bunyakowski-Schwarz inequality in multilevel methods
    • Eijkhout VP, Vassilevski PS. The role of strengthened Cauchy-Bunyakowski-Schwarz inequality in multilevel methods. SIAM Review 1991; 33:405-419.
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    • Eijkhout, V.P.1    Vassilevski, P.S.2
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    • Upper bound on the constant in the strengthened C.B.S. inequality for FEM 2D elasticity equations
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    • Estimate of the constant in two strengthened C.B.S. inequalities for F.E.M. systems of 2D elasticity. Applications to multilevel methods and a posteriori error estimators
    • Achchab B, Maitre J. Estimate of the constant in two strengthened C.B.S. inequalities for F.E.M. systems of 2D elasticity. Applications to multilevel methods and a posteriori error estimators. Numerical Linear Algebra with Applications 1996; 3:147-159.
    • (1996) Numerical Linear Algebra with Applications , vol.3 , pp. 147-159
    • Achchab, B.1    Maitre, J.2
  • 8
    • 0039523557 scopus 로고    scopus 로고
    • Some remarks on the constant in the strengthened C.B.S. inequality: Estimate for hierarchical finite element discretizations of elasticity problems
    • Jung M, Maitre JF. Some remarks on the constant in the strengthened C.B.S. inequality: Estimate for hierarchical finite element discretizations of elasticity problems. Numerical Methods for Partial Differential Equations 1999; 15(4):469-488.
    • (1999) Numerical Methods for Partial Differential Equations , vol.15 , Issue.4 , pp. 469-488
    • Jung, M.1    Maitre, J.F.2
  • 9
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    • Stabilization of algebraic multilevel iteration methods; additive methods
    • Axelsson O. Stabilization of algebraic multilevel iteration methods; additive methods. Numerical Algorithms 1999; 21:23-47.
    • (1999) Numerical Algorithms , vol.21 , pp. 23-47
    • Axelsson, O.1
  • 11
    • 0242348510 scopus 로고    scopus 로고
    • Two simple derivations of universal bounds for the C.B.S. inequality constant
    • to appear
    • Axelsson O, Blaheta R. Two simple derivations of universal bounds for the C.B.S. inequality constant. Applications of Mathematics 2003, to appear.
    • (2003) Applications of Mathematics
    • Axelsson, O.1    Blaheta, R.2
  • 15
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    • Tetrahedral grid refinement
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    • Adaptive composite grid methods for problems of plasticity
    • Blaheta R. Adaptive composite grid methods for problems of plasticity. Mathematics and Computers in Simulation 1999; 50:123-134.
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  • 18
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    • Iterative solution of elliptic equations with refinement: The two-level case
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    • Mandel J, McCormick SF. Iterative solution of elliptic equations with refinement: the two-level case. In Domain Decomposition Methods, Chan TF, Glowinski R, Periaux J, Widlund OB (eds). SIAM: Philadelphia, 1989; 81-92.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.