Two-grid methods of expanded mixed finite-element solutions for nonlinear parabolic problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.04.015 ◽

2019 ◽

Vol 144 ◽

pp. 204-222 ◽

Author(s):

Yanping Chen ◽

Yang Wang ◽

Yunqing Huang ◽

Longxia Fu

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic ◽

Expanded Mixed Finite Element

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An adaptive least-squares mixed finite element method for nonlinear parabolic problems

Computational Mathematics and Modeling ◽

10.1007/s10598-009-9028-z ◽

2009 ◽

Vol 20 (2) ◽

pp. 192-206

Author(s):

Haiming Gu ◽

Hongwei Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic ◽

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Error estimates for mixed finite element methods for nonlinear parabolic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690080407 ◽

1992 ◽

Vol 8 (4) ◽

pp. 395-404 ◽

Author(s):

So-Hsiang Chou ◽

Qian Li

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic

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Mixed finite element domain decomposition for nonlinear parabolic problems

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(00)85016-6 ◽

2000 ◽

Vol 40 (8-9) ◽

pp. 1061-1070 ◽

Author(s):

M.-Y. Kim ◽

E.-J. Park ◽

J. Park

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Mixed Finite Element ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic

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Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.09-m09s09 ◽

2009 ◽

Vol 1 (6) ◽

pp. 830-844 ◽

Author(s):

Yanping Chen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Mixed Finite Element Methods ◽

Nonlinear Parabolic ◽

Expanded Mixed Finite Element

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On the numerical solution of a class of nonlinear parabolic problems with Volterra operators by a Rothe-Galerkin finite element method

IMA Journal of Numerical Analysis ◽

10.1093/imanum/17.2.239 ◽

1997 ◽

Vol 17 (2) ◽

pp. 239-269 ◽

Author(s):

J Kacur

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Solution ◽

Parabolic Problems ◽

Galerkin Finite Element Method ◽

Nonlinear Parabolic Problems ◽

Galerkin Finite Element ◽

Nonlinear Parabolic ◽

Volterra Operators ◽

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Split least-squares finite element methods for linear and nonlinear parabolic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.03.030 ◽

2009 ◽

Vol 223 (2) ◽

pp. 938-952 ◽

Author(s):

Hongxing Rui ◽

Sang Dong Kim ◽

Seokchan Kim

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic ◽

Linear And Nonlinear

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Implicit-explicit multistep finite element methods for nonlinear parabolic problems

Mathematics of Computation ◽

10.1090/s0025-5718-98-00930-2 ◽

1998 ◽

Vol 67 (222) ◽

pp. 457-478 ◽

Author(s):

Georgios Akrivis ◽

Michel Crouzeix ◽

Charalambos Makridakis

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic

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Two-Grid method for nonlinear parabolic equations by expanded mixed finite element methods

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21753 ◽

2012 ◽

Vol 29 (4) ◽

pp. 1238-1256 ◽

Author(s):

Yanping Chen ◽

Luoping Chen ◽

Xiaochun Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Grid Method ◽

Nonlinear Parabolic Equations ◽

Mixed Finite Element Methods ◽

Nonlinear Parabolic ◽

Expanded Mixed Finite Element

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HIGHER ORDER DISCONTINUOUS GALERKIN FINITE ELEMENT METHODS FOR NONLINEAR PARABOLIC PROBLEMS

Journal of the Korea Society for Industrial and Applied Mathematics ◽

10.12941/jksiam.2014.18.337 ◽

2014 ◽

Vol 18 (4) ◽

pp. 337-350 ◽

Author(s):

Mi Ray Ohm ◽

Hyun Young Lee ◽

Jun Yong Shin

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Higher Order ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Galerkin Finite Element ◽

Nonlinear Parabolic ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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Analysis of Expanded Mixed Finite Element Methods for a Nonlinear Parabolic Equation Modeling Flow into Variably Saturated Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142996311040 ◽

2000 ◽

Vol 37 (3) ◽

pp. 701-724 ◽

Author(s):

Carol S. Woodward ◽

Clint N. Dawson

Keyword(s):

Finite Element ◽

Porous Media ◽

Parabolic Equation ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Equation Modeling ◽

Saturated Porous Media ◽

Nonlinear Parabolic ◽

Expanded Mixed Finite Element ◽

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