Weak Galerkin mixed finite element methods for parabolic equations with memory

Xiaomeng Li;  ; Qiang Xu; Ailing Zhu

doi:10.3934/dcdss.2019034

Weak Galerkin mixed finite element methods for parabolic equations with memory

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2019034 ◽

2019 ◽

Vol 12 (3) ◽

pp. 513-531 ◽

Cited By ~ 3

Author(s):

Xiaomeng Li ◽

◽

Qiang Xu ◽

Ailing Zhu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Weak Galerkin ◽

With Memory

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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 ◽

Cited By ~ 21

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 ◽

Crank Nicolson

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A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.06.024 ◽

2015 ◽

Vol 273 ◽

pp. 346-362 ◽

Cited By ~ 25

Author(s):

Guang Lin ◽

Jiangguo Liu ◽

Farrah Sadre-Marandi

Keyword(s):

Finite Element ◽

Comparative Study ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Weak Galerkin

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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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Superconvergence of mixed finite element methods for parabolic equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1987210203271 ◽

1987 ◽

Vol 21 (2) ◽

pp. 327-352 ◽

Cited By ~ 10

Author(s):

Maria Cristina ◽

J. Squeff

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

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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 ◽

Crank Nicolson

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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 ◽

Cited By ~ 17

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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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 ◽

Cited By ~ 3

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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Solution of Parabolic Equations by Backward Euler-Mixed Finite Element Methods on a Dynamically Changing Mesh

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142998342860 ◽

1999 ◽

Vol 37 (2) ◽

pp. 423-442 ◽

Cited By ~ 12

Author(s):

Clint Dawson ◽

Robert Kirby

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Backward Euler

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