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.
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页码：44 / 49
页数：6
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