Optimal convergence analysis of mixed finite element methods for fourth-order elliptic and parabolic problems

Jichun Li

doi:10.1002/num.20127

Optimal convergence analysis of mixed finite element methods for fourth-order elliptic and parabolic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20127 ◽

2006 ◽

Vol 22 (4) ◽

pp. 884-896 ◽

Cited By ~ 14

Author(s):

Jichun Li

Keyword(s):

Finite Element ◽

Convergence Analysis ◽

Fourth Order ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Parabolic Problems ◽

Optimal Convergence ◽

Optimal Convergence Analysis

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Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

Communications in Computational Physics ◽

10.4208/cicp.oa-2017-0168 ◽

2018 ◽

Vol 24 (2) ◽

Cited By ~ 3

Author(s):

Yue Yan ◽

Weijia Li ◽

Wenbin Chen ◽

Yanqiu Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Fourth Order ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Method ◽

Optimal Convergence ◽

Optimal Convergence Analysis ◽

Element Method

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Mixed finite element methods for geometric modeling using general fourth order geometric flows

Computer Aided Geometric Design ◽

10.1016/j.cagd.2008.12.004 ◽

2009 ◽

Vol 26 (4) ◽

pp. 378-395 ◽

Cited By ~ 5

Author(s):

Guoliang Xu

Keyword(s):

Finite Element ◽

Fourth Order ◽

Finite Element Methods ◽

Geometric Modeling ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Geometric Flows

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Superconvergence ofH1-Galerkin mixed finite element methods for parabolic problems

Applicable Analysis ◽

10.1080/00036810903208163 ◽

2009 ◽

Vol 88 (8) ◽

pp. 1213-1231 ◽

Cited By ~ 5

Author(s):

Madhusmita Tripathy ◽

Rajen K. Sinha

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Parabolic Problems

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Some superconvergence results for mixed finite element methods for linear parabolic problems

Lecture Notes in Mathematics - Numerical Analysis ◽

10.1007/bfb0072679 ◽

1986 ◽

pp. 167-174

Author(s):

Mie Nakata ◽

Mary Fanett Wheeler

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Parabolic Problems ◽

Superconvergence Results

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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 ◽

Cited By ~ 11

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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Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data

Numerische Mathematik ◽

10.1007/s002110050323 ◽

1998 ◽

Vol 78 (4) ◽

pp. 495-521 ◽

Cited By ~ 18

Author(s):

Hongsen Chen ◽

Richard Ewing ◽

Raytcho Lazarov

Keyword(s):

Finite Element ◽

Initial Data ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Parabolic Problems ◽

Nonsmooth Initial Data

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The $p$ version of mixed finite element methods for parabolic problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1997310303031 ◽

1997 ◽

Vol 31 (3) ◽

pp. 303-326

Author(s):

Sonia M. F. Garcia ◽

Søren Jensen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Parabolic Problems

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Analysis of mixed finite element methods for fourth-order wave equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2012.10.002 ◽

2013 ◽

Vol 65 (1) ◽

pp. 1-16 ◽

Cited By ~ 10

Author(s):

Siriguleng He ◽

Hong Li ◽

Yang Liu

Keyword(s):

Finite Element ◽

Fourth Order ◽

Finite Element Methods ◽

Wave Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

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Mixed finite element methods for unilateral problems: convergence analysis and numerical studies

Mathematics of Computation ◽

10.1090/s0025-5718-01-01318-7 ◽

2001 ◽

Vol 71 (237) ◽

pp. 1-26 ◽

Cited By ~ 38

Author(s):

Patrice Coorevits ◽

Patrick Hild ◽

Khalid Lhalouani ◽

Taoufik Sassi

Keyword(s):

Finite Element ◽

Convergence Analysis ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Numerical Studies ◽

Unilateral Problems

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Efficient implementation of mixed finite element methods for parabolic problems

Applied Mathematics Letters ◽

10.1016/j.aml.2022.107925 ◽

2022 ◽

pp. 107925

Author(s):

Huadong Gao ◽

Meng Li

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Efficient Implementation ◽

Mixed Finite Element Methods ◽

Parabolic Problems

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