Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian

被引：2

作者：

Nie, Daxin ^{[1
]}

Deng, Weihua ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Gansu Key Lab Appl Math & Complex Syst, Lanzhou 730000, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2021年 / 104卷

基金：

中国国家自然科学基金;

关键词：

Local discontinuous Galerkin method; Integral fractional Laplacian; Stability analysis; Error estimates; NUMERICAL-METHODS; SUPERCONVERGENCE; REGULARITY;

D O I：

10.1016/j.camwa.2021.11.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide a framework of designing the local discontinuous Galerkin scheme for integral fractional Laplacian (-Delta)(s) with s is an element of (0, 1) in two dimensions. We theoretically prove and numerically verify the numerical stability and convergence of the scheme with the convergence rate no worse than O(h(k)(+1/2)) with k >= 1.

引用

页码：44 / 49

页数：6

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