Error Analysis of Mixed Finite Element Methods for Nonlinear Parabolic Equations

Journal of Scientific Computing ◽

10.1007/s10915-018-0643-8 ◽

2018 ◽

Vol 77 (3) ◽

pp. 1660-1678 ◽

Author(s):

Huadong Gao ◽

Weifeng Qiu

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Mixed Finite Element Methods ◽

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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Two-grid Raviart-Thomas mixed finite element methods combined with Crank-Nicolson scheme for a class of nonlinear parabolic equations

Advances in Computational Mathematics ◽

10.1007/s10444-020-09777-z ◽

2020 ◽

Vol 46 (2) ◽

Author(s):

Tianliang Hou ◽

Luoping Chen ◽

Yueting Yang ◽

Yin Yang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Mixed Finite Element Methods ◽

Nonlinear Parabolic ◽

Nicolson Scheme ◽

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A Priori Error Estimates of $$P_0^2{-}P_1$$ Mixed Finite Element Methods for a Class of Nonlinear Parabolic Equations

Numerical Analysis and Applications ◽

10.1134/s1995423921040054 ◽

2021 ◽

Vol 14 (4) ◽

pp. 357-371

Author(s):

Ch. Liu ◽

T. Hou ◽

Zh. Weng

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

A Priori ◽

Nonlinear Parabolic Equations ◽

Mixed Finite Element Methods ◽

Nonlinear Parabolic ◽

Priori Error Estimates

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A priori error estimates of P20-P1 mixed finite element methods for a class of nonlinear parabolic equations

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20210405 ◽

2021 ◽

Vol 24 (4) ◽

pp. 409-424

Author(s):

Ch. Liu ◽

T. Hou ◽

Zh. Weng

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

A Priori ◽

Nonlinear Parabolic Equations ◽

Mixed Finite Element Methods ◽

Nonlinear Parabolic ◽

Priori Error Estimates

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Two-grid P02–P1 mixed finite element methods combined with Crank–Nicolson scheme for a class of nonlinear parabolic equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.11.009 ◽

2019 ◽

Vol 137 ◽

pp. 136-150

Author(s):

Tianliang Hou ◽

Wenzhu Jiang ◽

Yueting Yang ◽

Haitao Leng

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Mixed Finite Element Methods ◽

Nonlinear Parabolic ◽

Nicolson Scheme ◽

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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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Two-grid methods for mixed finite element approximations of nonlinear parabolic equations

Domain Decomposition Methods in Scientific and Engineering Computing - Contemporary Mathematics ◽

10.1090/conm/180/01971 ◽

1994 ◽

pp. 191-203 ◽

Author(s):

Clint N. Dawson ◽

Mary F. Wheeler

Keyword(s):

Finite Element ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Finite Element Approximations ◽

Nonlinear Parabolic

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Error analysis in $L^p \leqslant p \leqslant \infty $, for mixed finite element methods for linear and quasi-linear elliptic problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1988220303711 ◽

1988 ◽

Vol 22 (3) ◽

pp. 371-387 ◽

Author(s):

Ricardo G. Durán

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods

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Postprocessing Mixed Finite Element Methods For Solving Cahn–Hilliard Equation: Methods and Error Analysis

Journal of Scientific Computing ◽

10.1007/s10915-015-0101-9 ◽

2015 ◽

Vol 67 (2) ◽

pp. 724-746 ◽

Author(s):

Wansheng Wang ◽

Long Chen ◽

Jie Zhou

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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The effect of numerical integration in finite element methods for nonlinear parabolic equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690060306 ◽

1990 ◽

Vol 6 (3) ◽

pp. 263-274 ◽

Author(s):

So-Hsiang Chou ◽

Qian Li

Keyword(s):

Finite Element ◽

Numerical Integration ◽

Finite Element Methods ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Nonlinear Parabolic ◽

Effect Of Numerical Integration

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