A preconditioned fast Hermite finite element method for space-fractional diffusion equations

Meng Zhao;  ; Aijie Cheng; Hong Wang;

doi:10.3934/dcdsb.2017178

A preconditioned fast Hermite finite element method for space-fractional diffusion equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2017178 ◽

2017 ◽

Vol 22 (9) ◽

pp. 3529-3545 ◽

Cited By ~ 6

Author(s):

Meng Zhao ◽

◽

Aijie Cheng ◽

Hong Wang ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Hermite Finite Element ◽

Element Method

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Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations

Applied Mathematics Letters ◽

10.1016/j.aml.2016.03.005 ◽

2016 ◽

Vol 59 ◽

pp. 38-47 ◽

Cited By ~ 29

Author(s):

Y. Zhao ◽

Y. Zhang ◽

D. Shi ◽

F. Liu ◽

I. Turner

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Nonconforming Finite Element ◽

Two Dimensional ◽

Nonconforming Finite Element Method ◽

Fractional Diffusion Equations ◽

Element Method

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A Petrov–Galerkin finite element method for variable-coefficient fractional diffusion equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2015.02.027 ◽

2015 ◽

Vol 290 ◽

pp. 45-56 ◽

Cited By ~ 32

Author(s):

Hong Wang ◽

Danping Yang ◽

Shengfeng Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Variable Coefficient ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Fractional Diffusion Equations ◽

Element Method

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Superconvergence Analysis for Time-Fractional Diffusion Equations with Nonconforming Mixed Finite Element Method

Journal of Computational Mathematics ◽

10.4208/jcm.1805-m2017-0256 ◽

2019 ◽

Vol 37 (4) ◽

pp. 525-542

Author(s):

Houchao Zhang and Dongyang Shi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Element Method

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Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2014.07.023 ◽

2014 ◽

Vol 276 ◽

pp. 26-38 ◽

Cited By ~ 103

Author(s):

Weiping Bu ◽

Yifa Tang ◽

Jiye Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Fractional Diffusion Equations ◽

Element Method

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Superconvergence analysis of an H1-Galerkin mixed finite element method for two-dimensional multi-term time fractional diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1343471 ◽

2017 ◽

Vol 95 (9) ◽

pp. 1845-1857

Author(s):

Zhengguang Shi ◽

Yanmin Zhao ◽

Yifa Tang ◽

Fenling Wang ◽

Yanhua Shi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Fractional Diffusion Equations ◽

Element Method

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Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains

Journal of Computational Physics ◽

10.1016/j.jcp.2016.10.053 ◽

2017 ◽

Vol 330 ◽

pp. 863-883 ◽

Cited By ~ 41

Author(s):

Z. Yang ◽

Z. Yuan ◽

Y. Nie ◽

J. Wang ◽

X. Zhu ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Irregular Domains ◽

Fractional Diffusion Equations ◽

Element Method

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A Weak Galerkin Finite Element Method for Multi-Term Time-Fractional Diffusion Equations

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.260617.151117a ◽

2018 ◽

Vol 8 (1) ◽

pp. 181-193 ◽

Cited By ~ 15

Author(s):

Jun Zhou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Fractional Diffusion Equations ◽

Element Method

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An Indirect Finite Element Method for Variable-Coefficient Space-Fractional Diffusion Equations and Its Optimal-Order Error Estimates

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-019-00037-6 ◽

2019 ◽

Vol 2 (1) ◽

pp. 147-162 ◽

Cited By ~ 2

Author(s):

Xiangcheng Zheng ◽

V. J. Ervin ◽

Hong Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Variable Coefficient ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Optimal Order ◽

Order Error ◽

Fractional Diffusion Equations ◽

Optimal Order Error Estimates

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A hermite finite element method for convection-diffusion equations

10.1063/1.4825978 ◽

2013 ◽

Cited By ~ 1

Author(s):

V. Ruas ◽

P. Trales

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Convection Diffusion ◽

Hermite Finite Element ◽

Element Method

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High accuracy analysis of anH1-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.06.057 ◽

2017 ◽

Vol 74 (8) ◽

pp. 1903-1914 ◽

Cited By ~ 7

Author(s):

Z.G. Shi ◽

Y.M. Zhao ◽

F. Liu ◽

Y.F. Tang ◽

F.L. Wang ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Fractional Diffusion ◽

High Accuracy ◽

Diffusion Equations ◽

Accuracy Analysis ◽

Two Dimensional ◽

Fractional Diffusion Equations

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