Finite element methods for parabolic equations

Lecture Notes in Mathematics - Conference on the Numerical Solution of Differential Equations ◽

10.1007/bfb0069139 ◽

1974 ◽

pp. 215-221 ◽

Cited By ~ 2

Author(s):

Miloš Zlámal

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations

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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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Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.003 ◽

2021 ◽

Vol 162 ◽

pp. 81-105

Author(s):

Bhupen Deka ◽

Naresh Kumar

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Parabolic Equations ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Galerkin Finite Element Methods

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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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Immersed finite element methods for parabolic equations with moving interface

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21722 ◽

2012 ◽

Vol 29 (2) ◽

pp. 619-646 ◽

Cited By ~ 45

Author(s):

Xiaoming He ◽

Tao Lin ◽

Yanping Lin ◽

Xu Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Immersed Finite Element ◽

Moving Interface ◽

Immersed Finite Element Methods

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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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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 ◽

Cited By ~ 3

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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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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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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Eulerian Finite Element Methods for Parabolic Equations on Moving Surfaces

SIAM Journal on Scientific Computing ◽

10.1137/130920095 ◽

2014 ◽

Vol 36 (2) ◽

pp. B248-B271 ◽

Cited By ~ 11

Author(s):

Jörg Grande

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations

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