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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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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A Nonconforming Finite Element Method with Face Penalty for Advection—Diffusion Equations

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-34288-5_47 ◽

2007 ◽

pp. 512-519

Author(s):

L. El Alaoui ◽

A. Ern ◽

E. Burman

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equations ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Method ◽

Advection Diffusion ◽

Element Method

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A nonconforming finite element method for a two-dimensional curl–curl and grad-div problem

Numerische Mathematik ◽

10.1007/s00211-008-0149-7 ◽

2008 ◽

Vol 109 (4) ◽

pp. 509-533 ◽

Cited By ~ 24

Author(s):

S. C. Brenner ◽

J. Cui ◽

F. Li ◽

L.-Y. Sung

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Nonconforming Finite Element ◽

Two Dimensional ◽

Nonconforming Finite Element Method ◽

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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A Nonconforming Finite-Element Method for the Two-Dimensional Cahn–Hilliard Equation

SIAM Journal on Numerical Analysis ◽

10.1137/0726049 ◽

1989 ◽

Vol 26 (4) ◽

pp. 884-903 ◽

Cited By ~ 89

Author(s):

Charles M. Elliott ◽

Donald A. French

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Nonconforming Finite Element ◽

Two Dimensional ◽

Nonconforming Finite Element Method ◽

Hilliard Equation ◽

Cahn Hilliard Equation ◽

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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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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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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