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 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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Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction–diffusion problem

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.05.015 ◽

2015 ◽

Vol 70 (4) ◽

pp. 573-591 ◽

Author(s):

Yang Liu ◽

Yanwei Du ◽

Hong Li ◽

Siriguleng He ◽

Wei Gao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Finite Difference ◽

Fourth Order ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Order Reaction ◽

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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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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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A priori error analysis of stabilized mixed finite element method for reaction-diffusion optimal control problems

Boundary Value Problems ◽

10.1186/s13661-016-0531-9 ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Hongfei Fu ◽

Hui Guo ◽

Jian Hou ◽

Junlong Zhao

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

A Priori ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Control Problems ◽

Stabilized Mixed Finite Element

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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 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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A stabilized mixed finite element method for steady and unsteady reaction–diffusion equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.01.010 ◽

2016 ◽

Vol 304 ◽

pp. 102-117 ◽

Author(s):

Hongfei Fu ◽

Hui Guo ◽

Jian Hou ◽

Junlong Zhao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stabilized Mixed Finite Element ◽

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Full-Order Convergence of a Mixed Finite Element Method for Fourth-Order Elliptic Equations

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1998.6209 ◽

1999 ◽

Vol 230 (2) ◽

pp. 329-349 ◽

Author(s):

Jichun Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fourth Order ◽

Elliptic Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Order Convergence ◽

Fourth Order Elliptic Equations ◽

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An Adaptive Least-Squares Mixed Finite Element Method for Fourth Order Parabolic Problems

Applied Mathematics ◽

10.4236/am.2013.44092 ◽

2013 ◽

Vol 04 (04) ◽

pp. 675-679 ◽

Author(s):

Ning Chen ◽

Haiming Gu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Fourth Order ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Parabolic Problems ◽

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