Mixed Finite Element Methods for Nonlinear Second-Order Elliptic Problems

Eun-Jae Park

doi:10.1137/0732040

Mixed Finite Element Methods for Nonlinear Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0732040 ◽

1995 ◽

Vol 32 (3) ◽

pp. 865-885 ◽

Cited By ~ 65

Author(s):

Eun-Jae Park

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Mixed Finite Element Methods ◽

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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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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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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Mixed finite element methods for quasilinear second-order elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-1985-0777266-1 ◽

1985 ◽

Vol 44 (170) ◽

pp. 303-303 ◽

Cited By ~ 80

Author(s):

F. A. Milner

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Problems

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Mixed finite element methods for quasilinear second order elliptic problems : the $p$-version

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1992260709131 ◽

1992 ◽

Vol 26 (7) ◽

pp. 913-931 ◽

Cited By ~ 7

Author(s):

F. A. Milner ◽

M. Suri

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Problems

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Asymptotic expansions andL ?-error estimates for mixed finite element methods for second order elliptic problems

Numerische Mathematik ◽

10.1007/bf01396046 ◽

1989 ◽

Vol 55 (4) ◽

pp. 401-430 ◽

Cited By ~ 27

Author(s):

Junping Wang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Asymptotic Expansions ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Problems

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Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces

Mathematics of Computation ◽

10.1090/mcom/3093 ◽

2016 ◽

Vol 85 (302) ◽

pp. 2609-2638 ◽

Cited By ~ 6

Author(s):

Bernardo Cockburn ◽

Alan Demlow

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods ◽

Hybridizable Discontinuous Galerkin

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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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