Parallel-In-Space-Time, Adaptive Finite Element Framework for Nonlinear Parabolic Equations

SIAM Journal on Scientific Computing ◽

10.1137/16m108985x ◽

2018 ◽

Vol 40 (3) ◽

pp. C283-C304 ◽

Author(s):

Robert Dyja ◽

Baskar Ganapathysubramanian ◽

Kristoffer G. van der Zee

Keyword(s):

Finite Element ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Adaptive Finite Element ◽

Nonlinear Parabolic

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Nonconforming Finite Element Method for Nonlinear Parabolic Equations

Communications in Computer and Information Science - Information Computing and Applications ◽

10.1007/978-3-642-16339-5_65 ◽

2010 ◽

pp. 491-498

Author(s):

Hongwu Yin ◽

Buying Zhang ◽

Qiumei Liu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Method ◽

Nonlinear Parabolic ◽

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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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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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Error Estimates for Two-Scale Composite Finite Element Approximations of Nonlinear Parabolic Equations

Journal of Computational Mathematics ◽

10.4208/jcm.2001-m2019-0117 ◽

2021 ◽

Vol 39 (4) ◽

pp. 533-557

Author(s):

global TamalPramanick

Keyword(s):

Finite Element ◽

Error Estimates ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Finite Element Approximations ◽

Nonlinear Parabolic

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Space-time means and solutions to a class of nonlinear parabolic equations

Science in China Series A Mathematics ◽

10.1007/bf02901950 ◽

1998 ◽

Vol 41 (7) ◽

pp. 682-693 ◽

Author(s):

Boling Guo ◽

Changxing Miao

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Nonlinear Parabolic

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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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Improved error estimates for mixed finite-element approximations for nonlinear parabolic equations: The continuous-time case

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690100202 ◽

1994 ◽

Vol 10 (2) ◽

pp. 129-147 ◽

Author(s):

Sonia M. F. Garcia

Keyword(s):

Finite Element ◽

Error Estimates ◽

Parabolic Equations ◽

Continuous Time ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Finite Element Approximations ◽

Nonlinear Parabolic

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