On the Convergence of SOR Iterations for Finite Element Approximations to Elliptic Boundary Value Problems

George J. Fix; Kate Larsen

doi:10.1137/0708051

On the Convergence of SOR Iterations for Finite Element Approximations to Elliptic Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0708051 ◽

1971 ◽

Vol 8 (3) ◽

pp. 536-547 ◽

Cited By ~ 19

Author(s):

George J. Fix ◽

Kate Larsen

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Finite Element Approximations

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Local and pollution error estimation for finite element approximations of elliptic boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(96)00027-1 ◽

1996 ◽

Vol 74 (1-2) ◽

pp. 245-293 ◽

Cited By ~ 30

Author(s):

J.Tinsley Oden ◽

Yusheng Feng

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Error Estimation ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Finite Element Approximations

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Adaptive multilevel finite element approximations of semilinear elliptic boundary value problems

Numerische Mathematik ◽

10.1007/s002110050471 ◽

1999 ◽

Vol 84 (2) ◽

pp. 249-274 ◽

Cited By ~ 4

Author(s):

Mats G. Larson ◽

A. Jonas Niklasson

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Finite Element Approximations ◽

Semilinear Elliptic

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Mixed-hybrid finite element approximations of second-order elliptic boundary value problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(78)90010-5 ◽

1978 ◽

Vol 14 (1) ◽

pp. 1-22 ◽

Cited By ~ 25

Author(s):

I. Babuška ◽

J.T. Oden ◽

J.K. Lee

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Second Order ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Finite Element Approximations ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element

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Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(77)90058-5 ◽

1977 ◽

Vol 11 (2) ◽

pp. 175-206 ◽

Cited By ~ 76

Author(s):

I. Babuska ◽

J.T. Oden ◽

J.K. Lee

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Second Order ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Finite Element Approximations ◽

Hybrid Finite Element ◽

Mixed Hybrid Finite Element

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On the order of convergence of finite element approximations to solutions of non-selfadjoint elliptic boundary value problems

Periodica Mathematica Hungarica ◽

10.1007/bf02025893 ◽

1979 ◽

Vol 10 (2-3) ◽

pp. 207-215

Author(s):

L. Veidinger

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Order Of Convergence ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Finite Element Approximations

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Error Estimates for Finite-Element Solutions of Elliptic Boundary Value Problems in Non-Smooth Domains

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/388 ◽

1990 ◽

Vol 9 (2) ◽

pp. 133-153 ◽

Cited By ~ 7

Author(s):

Anna-Margarete Sändig

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Error Estimates ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value

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Local Multilevel Methods for Adaptive Finite Element Methods for Nonsymmetric and Indefinite Elliptic Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/090755849 ◽

2010 ◽

Vol 47 (6) ◽

pp. 4492-4516 ◽

Cited By ~ 3

Author(s):

Huangxin Chen ◽

Xuejun Xu

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Multilevel Methods ◽

Adaptive Finite Element ◽

Adaptive Finite Element Methods ◽

Elliptic Boundary Value

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Computable Error Bounds for the Finite Element Method for Elliptic Boundary Value Problems

Numerische Methoden bei Differentialgleichungen und mit funktionalanalytischen Hilfsmitteln - International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique ◽

10.1007/978-3-0348-6988-1_1 ◽

1974 ◽

pp. 9-27

Author(s):

R. E. Barnhill ◽

J. R. Whiteman

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Error Bounds ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

The Finite Element Method ◽

Elliptic Boundary Value ◽

Computable Error Bounds

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An introduction to the analysis of the error in the finite element method for second-order elliptic boundary value problems

Lecture Notes in Mathematics - Numerical Analysis Lancaster 1984 ◽

10.1007/bfb0075158 ◽

1985 ◽

pp. 94-139 ◽

Cited By ~ 3

Author(s):

A. H. Schatz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Second Order ◽

Elliptic Boundary Value Problems ◽

The Finite Element Method ◽

Elliptic Boundary Value ◽

Element Method

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The Finite Element Method for Linear Elliptic Boundary Value Problems of Second Order

10.1007/978-3-030-79385-2_3 ◽

2021 ◽

pp. 111-204

Author(s):

Peter Knabner ◽

Lutz Angermann

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Second Order ◽

Elliptic Boundary Value Problems ◽

The Finite Element Method ◽

Elliptic Boundary Value ◽

Linear Elliptic Boundary

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