Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems

Lecture Notes in Mathematics - Preconditioned Conjugate Gradient Methods ◽

10.1007/bfb0090900 ◽

1990 ◽

pp. 28-43 ◽

Cited By ~ 10

Author(s):

Richard E. Ewing ◽

Raytcho D. Lazarov ◽

Peng Lu ◽

Panayot S. Vassilevski

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Finite Element Discretization ◽

Element Discretization ◽

Indefinite Systems ◽

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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A nonconforming mixed finite element for second-order elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199709)13:5<445::aid-num1>3.0.co;2-j ◽

1997 ◽

Vol 13 (5) ◽

pp. 445-457 ◽

Cited By ~ 3

Author(s):

Mohamed Farhloul ◽

And Michel Fortin

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems

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Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method

Applied Numerical Mathematics ◽

10.1016/j.apnum.2009.01.011 ◽

2009 ◽

Vol 59 (8) ◽

pp. 1884-1893 ◽

Cited By ~ 14

Author(s):

Qun Lin ◽

Hehu Xie

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Method ◽

Richardson Extrapolation ◽

Second Order ◽

Asymptotic Error ◽

Error Expansion ◽

Second Order Elliptic Problems

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Vectorizable preconditioners for mixed finite element solution of second-order elliptic problems

International Journal of Computer Mathematics ◽

10.1080/00207169208804111 ◽

1992 ◽

Vol 44 (1-4) ◽

pp. 313-327 ◽

Cited By ~ 8

Author(s):

Richard E. Ewing ◽

Jian Shen ◽

Panayot S. Vassilevski

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Finite Element Solution ◽

Element Solution ◽

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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Domain Decomposition Preconditioners for Mixed Finite-Element Discretization of High-Contrast Elliptic Problems

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-019-0005-z ◽

2019 ◽

Vol 1 (1) ◽

pp. 141-165

Author(s):

Hui Xie ◽

Xuejun Xu

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Mixed Finite Element ◽

Elliptic Problems ◽

High Contrast ◽

Finite Element Discretization ◽

Element Discretization

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TheP-version of the mixed-finite element method for nonlinear second-order elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690120103 ◽

1996 ◽

Vol 12 (1) ◽

pp. 1-11 ◽

Cited By ~ 3

Author(s):

Mi-Young Kim ◽

Eun-Jae Park

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Method ◽

Second Order ◽

Second Order Elliptic Problems ◽

Element Method

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A new low-order non-conforming mixed finite-element scheme for second-order elliptic problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2010.534138 ◽

2011 ◽

Vol 88 (10) ◽

pp. 2167-2177 ◽

Cited By ~ 7

Author(s):

Dongyang Shi ◽

Caixia Wang

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Second Order ◽

Finite Element Scheme ◽

Element Scheme ◽

Second Order Elliptic Problems ◽

Low Order

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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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