Error estimates for mixed finite element methods for nonlinear parabolic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690080407 ◽

1992 ◽

Vol 8 (4) ◽

pp. 395-404 ◽

Author(s):

So-Hsiang Chou ◽

Qian Li

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic

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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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Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data

Journal of Scientific Computing ◽

10.1007/s10915-012-9666-8 ◽

2013 ◽

Vol 56 (1) ◽

pp. 131-164 ◽

Author(s):

Deepjyoti Goswami ◽

Amiya K. Pani ◽

Sangita Yadav

Keyword(s):

Finite Element ◽

Initial Data ◽

Differential Equations ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Optimal Error Estimates ◽

Optimal Error ◽

Nonsmooth Initial Data

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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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SharpL2-Error Estimates and Superconvergence of Mixed Finite Element Methods for Non-Fickian Flows in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900378406 ◽

2002 ◽

Vol 40 (4) ◽

pp. 1538-1560 ◽

Author(s):

Richard E. Ewing ◽

Yanping Lin. ◽

Tong Sun. ◽

Junping Wang. ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Porous Media ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Flows In Porous Media

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Error estimates of mixed finite element methods for quadratic optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.09.018 ◽

2010 ◽

Vol 233 (8) ◽

pp. 1812-1820 ◽

Author(s):

Xiaoqing Xing ◽

Yanping Chen ◽

Nianyu Yi

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Control Problems ◽

Quadratic Optimal Control

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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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Superconvergence ofH1-Galerkin mixed finite element methods for parabolic problems

Applicable Analysis ◽

10.1080/00036810903208163 ◽

2009 ◽

Vol 88 (8) ◽

pp. 1213-1231 ◽

Author(s):

Madhusmita Tripathy ◽

Rajen K. Sinha

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Parabolic Problems

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Functional-type a posteriori error estimates for mixed finite element methods

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/156939805775122271 ◽

2005 ◽

Vol 20 (4) ◽

Author(s):

S. I. Repin ◽

A. Smolianski

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Mixed Finite Element Methods ◽

Functional Type ◽

A Posteriori ◽

A Posteriori Error

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