Adaptive Mixed Finite Element Methods for Non-self-adjoint Indefinite Second-Order Elliptic PDEs with Optimal Rates

Carsten Carstensen; Rui Ma

doi:10.1137/19m1307846

Adaptive Mixed Finite Element Methods for Non-self-adjoint Indefinite Second-Order Elliptic PDEs with Optimal Rates

SIAM Journal on Numerical Analysis ◽

10.1137/19m1307846 ◽

2021 ◽

Vol 59 (2) ◽

pp. 955-982

Author(s):

Carsten Carstensen ◽

Rui Ma

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Second Order ◽

Mixed Finite Element Methods ◽

Elliptic Pdes

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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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Superconvergence ofH1-Galerkin Mixed Finite Element Methods for Second-Order Elliptic Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2011.602202 ◽

2012 ◽

Vol 33 (3) ◽

pp. 320-337 ◽

Cited By ~ 3

Author(s):

Madhusmita Tripathy ◽

Rajen Kumar Sinha

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Equations ◽

Mixed Finite Element ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Equations

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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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Interior superconvergence error estimates for mixed finite element methods for second order elliptic problem

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02669827 ◽

1999 ◽

Vol 15 (3) ◽

pp. 233-239 ◽

Cited By ~ 1

Author(s):

Luo Ping ◽

Liao Xiaohai

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Elliptic Problem ◽

Mixed Finite Element ◽

Second Order ◽

Mixed Finite Element Methods ◽

Order Elliptic Problem

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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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Error-controlled adaptive mixed finite element methods for second-order elliptic equations

Computational Mechanics ◽

10.1007/s00466-008-0259-1 ◽

2008 ◽

Vol 42 (3) ◽

pp. 447-456 ◽

Cited By ~ 4

Author(s):

Marcus Rüter ◽

Rolf Stenberg

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Equations ◽

Mixed Finite Element ◽

Second Order ◽

Mixed Finite Element Methods ◽

Second Order Elliptic Equations

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On a Second-Order Multipoint Flux Mixed Finite Element Methods on Hybrid Meshes

SIAM Journal on Numerical Analysis ◽

10.1137/19m1236862 ◽

2020 ◽

Vol 58 (3) ◽

pp. 1822-1844 ◽

Cited By ~ 1

Author(s):

Herbert Egger ◽

Bogdan Radu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Second Order ◽

Mixed Finite Element Methods ◽

Hybrid Meshes

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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 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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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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