Two-Grid Finite Element Methods of Crank-Nicolson Galerkin Approximation for a Nonlinear Parabolic Equation

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.030120.120520 ◽

2020 ◽

Vol 10 (4) ◽

pp. 800-817

Author(s):

Zhijun Tan

Keyword(s):

Finite Element ◽

Parabolic Equation ◽

Finite Element Methods ◽

Nonlinear Parabolic Equation ◽

Galerkin Approximation ◽

Nonlinear Parabolic ◽

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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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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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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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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 nonlinear parabolic equation with $$EQ_1^\mathrm{{rot}}$$ E Q 1 rot nonconforming finite element

Computational and Applied Mathematics ◽

10.1007/s40314-016-0344-6 ◽

2016 ◽

Vol 37 (1) ◽

pp. 307-327 ◽

Author(s):

Dongyang Shi ◽

Junjun Wang ◽

Fengna Yan

Keyword(s):

Finite Element ◽

Parabolic Equation ◽

Nonlinear Parabolic Equation ◽

Nonconforming Finite Element ◽

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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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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Unconditional Superconvergence Analysis for Nonlinear Parabolic Equation with $${\textit{EQ}}_1^{rot}$$ EQ 1 r o t Nonconforming Finite Element

Journal of Scientific Computing ◽

10.1007/s10915-016-0243-4 ◽

2016 ◽

Vol 70 (1) ◽

pp. 85-111 ◽

Author(s):

Dongyang Shi ◽

Junjun Wang ◽

Fengna Yan

Keyword(s):

Finite Element ◽

Parabolic Equation ◽

Nonlinear Parabolic Equation ◽

Nonconforming Finite Element ◽

Nonlinear Parabolic

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Analysis of Expanded Mixed Finite Element Methods for a Nonlinear Parabolic Equation Modeling Flow into Variably Saturated Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142996311040 ◽

2000 ◽

Vol 37 (3) ◽

pp. 701-724 ◽

Author(s):

Carol S. Woodward ◽

Clint N. Dawson

Keyword(s):

Finite Element ◽

Porous Media ◽

Parabolic Equation ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Equation Modeling ◽

Saturated Porous Media ◽

Nonlinear Parabolic ◽

Expanded Mixed Finite Element ◽

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Convergence analysis of the modified P1 - nonconforming finite element for a class of nonlinear parabolic equation

2011 International Conference on Multimedia Technology ◽

10.1109/icmt.2011.6002640 ◽

2011 ◽

Author(s):

Dongwei Shi ◽

Lifang Pei ◽

Rui Dong ◽

Changzai Zhao

Keyword(s):

Finite Element ◽

Parabolic Equation ◽

Convergence Analysis ◽

Nonlinear Parabolic Equation ◽

Nonconforming Finite Element ◽

Nonlinear Parabolic

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