Superconvergence analysis of a BDF-3 finite element method for nonlinear parabolic equation

Computational and Applied Mathematics ◽

10.1007/s40314-021-01707-z ◽

2021 ◽

Vol 41 (1) ◽

Author(s):

Junjun Wang ◽

Houchao Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Equation ◽

Nonlinear Parabolic Equation ◽

Nonlinear Parabolic ◽

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Unconditionally Superclose Analysis of a New Mixed Finite Element Method for Nonlinear Parabolic Equation

Journal of Computational Mathematics ◽

10.4208/jcm.1707-m2016-0718 ◽

2019 ◽

Vol 37 (1) ◽

pp. 1-17 ◽

Author(s):

Dongyang Shi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Equation ◽

Nonlinear Parabolic Equation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Nonlinear Parabolic ◽

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Superconvergence analysis for a nonlinear parabolic equation with a BDF finite element method

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1706729 ◽

2020 ◽

Vol 97 (12) ◽

pp. 2487-2506

Author(s):

Junjun Wang ◽

Xiaoxia Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Equation ◽

Nonlinear Parabolic Equation ◽

Nonlinear Parabolic ◽

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A COMPLETE ANALYSIS FOR SOMEA POSTERIORIERROR ESTIMATES WITH THE FINITE ELEMENT METHOD OF LINES FOR A NONLINEAR PARABOLIC EQUATION

Numerical Functional Analysis and Optimization ◽

10.1081/nfa-120016275 ◽

2002 ◽

Vol 23 (7-8) ◽

pp. 891-909 ◽

Author(s):

Thanh Tran ◽

Thanh-Binh Duong

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Equation ◽

Nonlinear Parabolic Equation ◽

Method Of Lines ◽

Complete Analysis ◽

The Finite Element Method ◽

Nonlinear Parabolic ◽

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An adaptive least-squares mixed finite element method for nonlinear parabolic problems

Computational Mathematics and Modeling ◽

10.1007/s10598-009-9028-z ◽

2009 ◽

Vol 20 (2) ◽

pp. 192-206

Author(s):

Haiming Gu ◽

Hongwei Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

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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Superconvergence of anH1-Galerkin nonconforming mixed finite element method for a parabolic equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.09.013 ◽

2013 ◽

Vol 66 (11) ◽

pp. 2362-2375 ◽

Author(s):

Yadong Zhang ◽

Dongyang Shi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Equation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

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Domain decomposition procedures combined withH1-Galerkin mixed finite element method for parabolic equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.01.036 ◽

2014 ◽

Vol 267 ◽

pp. 33-48 ◽

Author(s):

Tongjun Sun ◽

Keying Ma

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Equation ◽

Domain Decomposition ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

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On the numerical solution of a class of nonlinear parabolic problems with Volterra operators by a Rothe-Galerkin finite element method

IMA Journal of Numerical Analysis ◽

10.1093/imanum/17.2.239 ◽

1997 ◽

Vol 17 (2) ◽

pp. 239-269 ◽

Author(s):

J Kacur

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Solution ◽

Parabolic Problems ◽

Galerkin Finite Element Method ◽

Nonlinear Parabolic Problems ◽

Galerkin Finite Element ◽

Nonlinear Parabolic ◽

Volterra Operators ◽

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Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation

SIAM Journal on Numerical Analysis ◽

10.1137/13093933x ◽

2014 ◽

Vol 52 (5) ◽

pp. 2272-2294 ◽

Author(s):

Bangti Jin ◽

Raytcho Lazarov ◽

Joseph Pasciak ◽

Zhi Zhou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Equation ◽

Error Analysis ◽

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Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.08.024 ◽

2017 ◽

Vol 294 ◽

pp. 216-226 ◽

Author(s):

Dongyang Shi ◽

Junjun Wang

Keyword(s):

Finite Element ◽

Parabolic Equation ◽

Nonlinear Parabolic Equation ◽

Nonlinear Parabolic ◽

Conforming Finite Element

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