A Local Discontinuous Galerkin Method for Two-Dimensional Time Fractional Diffusion Equations

作     者：Somayeh Yeganeh Reza Mokhtari Jan SHesthaven Somayeh Yeganeh;Reza Mokhtari;Jan S.Hesthaven

作者机构：Department of Mathematical SciencesIsfahan University of TechnologyIsfahan 84156-83111Iran EPFL-SB-MATHICES-MCSSÉcole Polytechnique Fédéral de Lausanne1015 LausanneSwitzerland 

出 版 物：《Communications on Applied Mathematics and Computation》 (应用数学与计算数学学报（英文）)

年 卷 期：2020年第2卷第4期

页      面：689-709页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Two-dimensional(2D)time fractional difusion equation Local discontinuous Galerkin method(LDG) Numerical stability Convergence analysis 

摘      要：For two-dimensional(2D)time fractional diffusion equations,we construct a numerical method based on a local discontinuous Galerkin(LDG)method in space and a finite differ-ence scheme in *** investigate the numerical stability and convergence of the method for both rectangular and triangular meshes and show that the method is unconditionally *** results indicate the effectiveness and accuracy of the method and con-firm the analysis.