θschemes for finite element discretization of the space–time fractional diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.04.032 ◽

2015 ◽

Vol 288 ◽

pp. 264-273 ◽

Author(s):

Qingguang Guan ◽

Max Gunzburger

Keyword(s):

Finite Element ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Finite Element Discretization ◽

Element Discretization ◽

Fractional Diffusion Equations

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Parallel-in-time multigrid for space–time finite element approximations of two-dimensional space-fractional diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.05.017 ◽

2019 ◽

Vol 78 (11) ◽

pp. 3471-3484 ◽

Author(s):

Xiaoqiang Yue ◽

Shi Shu ◽

Xiaowen Xu ◽

Weiping Bu ◽

Kejia Pan

Keyword(s):

Finite Element ◽

Dimensional Space ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Fractional Diffusion Equations ◽

Finite Element Approximations

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A fast discontinuous finite element discretization for the space-time fractional diffusion-wave equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22179 ◽

2017 ◽

Vol 33 (6) ◽

pp. 2043-2061

Author(s):

Zhengguang Liu ◽

Aijie Cheng ◽

Xiaoli Li

Keyword(s):

Finite Element ◽

Wave Equation ◽

Fractional Diffusion ◽

Finite Element Discretization ◽

Element Discretization ◽

Diffusion Wave ◽

Discontinuous Finite Element

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A fast solution technique for finite element discretization of the space–time fractional diffusion equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.04.003 ◽

2017 ◽

Vol 119 ◽

pp. 146-163 ◽

Author(s):

Zhengguang Liu ◽

Aijie Cheng ◽

Xiaoli Li ◽

Hong Wang

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Solution Technique ◽

Finite Element Discretization ◽

Element Discretization ◽

Fast Solution ◽

Time Fractional Diffusion Equation

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Fast algorithms for high-dimensional variable-order space-time fractional diffusion equations

Computational and Applied Mathematics ◽

10.1007/s40314-021-01496-5 ◽

2021 ◽

Vol 40 (4) ◽

Author(s):

Lei Zhang ◽

Guo-Feng Zhang

Keyword(s):

Fast Algorithms ◽

Fractional Diffusion ◽

Diffusion Equations ◽

High Dimensional ◽

Variable Order ◽

Fractional Diffusion Equations ◽

Dimensional Variable

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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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Finite element discretization of non-linear diffusion equations with thermal fluctuations

The Journal of Chemical Physics ◽

10.1063/1.4913746 ◽

2015 ◽

Vol 142 (9) ◽

pp. 094115 ◽

Author(s):

J. A. de la Torre ◽

Pep Español ◽

Aleksandar Donev

Keyword(s):

Finite Element ◽

Thermal Fluctuations ◽

Diffusion Equations ◽

Finite Element Discretization ◽

Linear Diffusion ◽

Element Discretization ◽

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A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_77 ◽

2008 ◽

pp. 645-652

Author(s):

D. Meidner ◽

B. Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Parabolic Optimal Control

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An Algebraic Multigrid Method for an Adaptive Space–Time Finite Element Discretization

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-319-73441-5_6 ◽

2018 ◽

pp. 66-73

Author(s):

Olaf Steinbach ◽

Huidong Yang

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Algebraic Multigrid ◽

Finite Element Discretization ◽

Algebraic Multigrid Method ◽

Element Discretization

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Accuracy of Finite Element Methods for Boundary-Value Problems of Steady-State Fractional Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-016-0196-7 ◽

2016 ◽

Vol 70 (1) ◽

pp. 429-449 ◽

Author(s):

Hong Wang ◽

Danping Yang ◽

Shengfeng Zhu

Keyword(s):

Finite Element ◽

Steady State ◽

Boundary Value Problems ◽

Finite Element Methods ◽

Boundary Value ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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Stochastic solution of space-time fractional diffusion equations

Physical Review E ◽

10.1103/physreve.65.041103 ◽

2002 ◽

Vol 65 (4) ◽

Author(s):

Mark M. Meerschaert ◽

David A. Benson ◽

Hans-Peter Scheffler ◽

Boris Baeumer

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Stochastic Solution

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