Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients

Ivo Babuška; Gabriel Caloz; John E. Osborn

doi:10.1137/0731051

Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients

SIAM Journal on Numerical Analysis ◽

10.1137/0731051 ◽

1994 ◽

Vol 31 (4) ◽

pp. 945-981 ◽

Cited By ~ 368

Author(s):

Ivo Babuška ◽

Gabriel Caloz ◽

John E. Osborn

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Rough Coefficients ◽

Second Order Elliptic Problems

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P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902404923 ◽

2003 ◽

Vol 41 (2) ◽

pp. 624-640 ◽

Cited By ~ 88

Author(s):

Chunjae Park ◽

Dongwoo Sheen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

Quadrilateral Finite Element

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Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2020-0120 ◽

2021 ◽

Vol 14 (3) ◽

pp. 613-623

Author(s):

Xiu Ye & Shangyou Zhang

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Problems

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Optimal convergence rates ofhpmortar finite element methods for second-order elliptic problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2000158 ◽

2000 ◽

Vol 34 (3) ◽

pp. 591-608 ◽

Cited By ~ 23

Author(s):

Faker Ben Belgacem ◽

Padmanabhan Seshaiyer ◽

Manil Suri

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Convergence Rates ◽

Elliptic Problems ◽

Second Order ◽

Optimal Convergence ◽

Optimal Convergence Rates ◽

Second Order Elliptic Problems

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On the stability and convergence of higher-order mixed finite element methods for second-order elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-1990-0990603-x ◽

1990 ◽

Vol 54 (189) ◽

pp. 1-1 ◽

Cited By ~ 20

Author(s):

Manil Suri

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Higher Order ◽

Second Order ◽

Mixed Finite Element Methods ◽

Stability And Convergence ◽

The Stability ◽

Second Order Elliptic Problems

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Expanded mixed finite element methods for linear second-order elliptic problems, I

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1998320404791 ◽

1998 ◽

Vol 32 (4) ◽

pp. 479-499 ◽

Cited By ~ 55

Author(s):

Zhangxin Chen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Mixed Finite Element Methods ◽

Expanded Mixed Finite Element ◽

Second Order Elliptic Problems

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On continuous, discontinuous, mixed, and primal hybrid finite element methods for second-order elliptic problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5836 ◽

2018 ◽

Vol 115 (9) ◽

pp. 1083-1107 ◽

Cited By ~ 5

Author(s):

P. R. B. Devloo ◽

C. O. Faria ◽

A. M. Farias ◽

S. M. Gomes ◽

A. F. D. Loula ◽

...

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Hybrid Finite Element ◽

Second Order Elliptic Problems

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Local ultraconvergence of finite element methods for second‐order elliptic problems with singularity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22668 ◽

2020 ◽

Author(s):

Wenming He ◽

Ren Zhao ◽

Guanrong Li ◽

Wulan Li

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems

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Expanded mixed finite element methods for quasilinear second order elliptic problems, II

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1998320405011 ◽

1998 ◽

Vol 32 (4) ◽

pp. 501-520 ◽

Cited By ~ 35

Author(s):

Zhangxin Chen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Mixed Finite Element Methods ◽

Expanded Mixed Finite Element ◽

Second Order Elliptic Problems

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A Systematic Study on Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-017-0496-6 ◽

2017 ◽

Vol 74 (3) ◽

pp. 1369-1396 ◽

Cited By ~ 6

Author(s):

Junping Wang ◽

Ruishu Wang ◽

Qilong Zhai ◽

Ran Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Systematic Study ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Problems

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Asymptotic Expansions and Richardson Extrapolation of Approximate Solutions for Second Order Elliptic Problems on Rectangular Domains by Mixed Finite Element Methods

SIAM Journal on Numerical Analysis ◽

10.1137/040614293 ◽

2006 ◽

Vol 44 (3) ◽

pp. 1122-1149 ◽

Cited By ~ 17

Author(s):

Graeme Fairweather ◽

Qun Lin ◽

Yanping Lin ◽

Junping Wang ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Asymptotic Expansions ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Approximate Solutions ◽

Richardson Extrapolation ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Problems

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