Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction–diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.12.004 ◽

2021 ◽

Vol 84 ◽

pp. 39-55

Author(s):

Xinfei Liu ◽

Xiaoyuan Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Fourth Order ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Order Reaction ◽

Reaction Diffusion Equation ◽

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Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction–diffusion equation on nonrectangular domains

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.03.040 ◽

2019 ◽

Vol 78 (5) ◽

pp. 1531-1547 ◽

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Reaction Diffusion Equation ◽

Fractional Reaction ◽

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An $$H^1$$ H 1 -Galerkin mixed finite element method for time fractional reaction–diffusion equation

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-014-0764-7 ◽

2014 ◽

Vol 47 (1-2) ◽

pp. 103-117 ◽

Author(s):

Yang Liu ◽

Yanwei Du ◽

Hong Li ◽

Jinfeng Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Reaction Diffusion Equation ◽

Fractional Reaction ◽

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A two-grid mixed finite element method for a nonlinear fourth-order reaction–diffusion problem with time-fractional derivative

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.09.012 ◽

2015 ◽

Vol 70 (10) ◽

pp. 2474-2492 ◽

Author(s):

Yang Liu ◽

Yanwei Du ◽

Hong Li ◽

Jichun Li ◽

Siriguleng He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fractional Derivative ◽

Fourth Order ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Diffusion Problem ◽

Order Reaction ◽

Time Fractional Derivative

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Mixed finite element methods for a fourth order reaction diffusion equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20679 ◽

2011 ◽

Vol 28 (4) ◽

pp. 1227-1251 ◽

Author(s):

P. Danumjaya ◽

Amiya K. Pani

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Fourth Order ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Order Reaction ◽

Mixed Finite Element Methods ◽

Reaction Diffusion Equation

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Implementation and efficiency analysis of an adaptive hp-finite element method for solving boundary value problems for the stationary reaction–diffusion equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542516050195 ◽

2016 ◽

Vol 56 (5) ◽

pp. 764-782 ◽

Author(s):

N. D. Zolotareva ◽

E. S. Nikolaev

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Efficiency Analysis ◽

Reaction Diffusion Equation ◽

Element Method ◽

Hp Finite Element

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A fourth-order H 1 -Galerkin mixed finite element method for Kuramoto-Sivashinsky equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22306 ◽

2018 ◽

Vol 35 (2) ◽

pp. 445-477 ◽

Author(s):

L. Jones Tarcius Doss ◽

A. P. Nandini

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fourth Order ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Sivashinsky Equation ◽

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Mixed Finite Element Method for Nonlinear Diffusion Equation in Image Processing

Pattern Recognition and Image Analysis ◽

10.1134/s1054661819020020 ◽

2019 ◽

Vol 29 (2) ◽

pp. 296-308 ◽

Author(s):

Amal Hjouji ◽

Jaouad El-Mekkaoui ◽

Mostafa Jourhmane

Keyword(s):

Finite Element Method ◽

Image Processing ◽

Finite Element ◽

Diffusion Equation ◽

Nonlinear Diffusion ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Nonlinear Diffusion Equation ◽

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The Dual Mixed Finite Element Method for the Heat Diffusion Equation in a Polygonal Domain, I

Functional Analysis and Evolution Equations ◽

10.1007/978-3-7643-7794-6_16 ◽

2007 ◽

pp. 239-256 ◽

Author(s):

Mohamed Farhloul ◽

Réda Korikache ◽

Luc Paquet

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Heat Diffusion ◽

Polygonal Domain ◽

Heat Diffusion Equation ◽

Domain I ◽

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Adaptive hp-finite element method for solving boundary value problems for the stationary reaction–diffusion equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542515090158 ◽

2015 ◽

Vol 55 (9) ◽

pp. 1484-1500 ◽

Author(s):

N. D. Zolotareva ◽

E. S. Nikolaev

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Element Method ◽

Hp Finite Element

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A mixed finite element method for fourth order eigenvalue problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.02.050 ◽

2009 ◽

Vol 213 (1) ◽

pp. 60-72 ◽

Author(s):

Neela Nataraj

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fourth Order ◽

Eigenvalue Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

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