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 ◽

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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 ◽

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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 ◽

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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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 ◽

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 ◽

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Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations

Computational and Applied Mathematics ◽

10.1007/s40314-017-0447-8 ◽

2017 ◽

Vol 37 (2) ◽

pp. 2309-2334 ◽

Author(s):

Meng Li ◽

Chengming Huang ◽

Wanyuan Ming

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

And Diffusion ◽

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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 ◽

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 ◽

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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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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 ◽

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 ◽

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A mixed finite element method for nonlinear diffusion equations

Kinetic and Related Models ◽

10.3934/krm.2010.3.59 ◽

2010 ◽

Vol 3 (1) ◽

pp. 59-83 ◽

Author(s):

Martin Burger ◽

◽

José A. Carrillo ◽

Marie-Therese Wolfram ◽

◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Nonlinear Diffusion ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Diffusion Equations ◽

Nonlinear Diffusion Equations ◽

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Mixed finite element method for diffusion equations on polygonal meshes with mixed cells

Journal of Numerical Mathematics ◽

10.1515/156939506779874617 ◽

2006 ◽

Vol 14 (4) ◽

Author(s):

Yu. A. Kuznetsov

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Diffusion Equations ◽

Polygonal Meshes ◽

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Two-grid stabilized mixed finite element method for fully discrete reaction-diffusion equations

Frontiers of Mathematics in China ◽

10.1007/s11464-016-0604-1 ◽

2016 ◽

Vol 12 (2) ◽

pp. 481-492 ◽

Author(s):

Sufang Zhang ◽

Kaitai Li ◽

Hongen Jia

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fully Discrete ◽

Stabilized Mixed Finite Element ◽

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