STABILITY ANALYSIS AND ERROR ESTIMATES OF LOCAL DISCONTINUOUS GALERKIN METHOD FOR CONVECTION-DIFFUSION EQUATIONS ON OVERLAPPING MESH WITH NON-PERIODIC BOUNDARY CONDITIONS

被引：0

作者：

Chuenjarern, Nattaporn ^{[1
]}

Wuttanachamsri, Kanognudge ^{[1
]}

Yang, Yang ^{[2
]}

机构：

[1] King Mongkuts Inst Technol Ladkrabang, Dept Math, Bangkok 10520, Thailand

[2] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2021年 / 18卷 / 06期

关键词：

Local discontinuous Galerkin method; stability; error analysis; overlapping meshes; FINITE-ELEMENT-METHOD; COMPRESSIBLE MISCIBLE DISPLACEMENTS; CONSERVATION-LAWS; APPROXIMATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new local discontinuous Galerkin (LDG) method for convection-diffusion equations on overlapping meshes with periodic boundary conditions was introduced in [14]. With the new method, the primary variable u and the auxiliary variable p = ux are solved on different meshes. In this paper, we will extend the idea to convection-diffusion equations with non-periodic boundary conditions, i.e. Neumann and Dirichlet boundary conditions. The main difference is to adjust the boundary cells. Moreover, we study the stability and suboptimal error estimates. Finally, numerical experiments are given to verify the theoretical findings.

引用

页码：788 / 810

页数：23

共 29 条

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