CENTRAL LOCAL DISCONTINUOUS GALERKIN METHODS ON OVERLAPPING CELLS FOR DIFFUSION EQUATIONS

被引：29

作者：

Liu, Yingjie ^{[1
]}

Shu, Chi-Wang ^{[2
]}

Tadmor, Eitan ^{[3
,4
]}

Zhang, Mengping ^{[5
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[2] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[3] Univ Maryland, Inst Phys Sci & Technol, Dept Math, College Pk, MD 20742 USA

[4] Univ Maryland, CSCAMM, College Pk, MD 20742 USA

[5] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2011年 / 45卷 / 06期

基金：

美国国家科学基金会;

关键词：

Central discontinuous Galerkin method; local discontinuous Galerkin method; overlapping cells; diffusion equation; heat equation; stability; error estimate;

D O I：

10.1051/m2an/2011007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present two versions of the central local discontinuous Galerkin (LDG) method on overlapping cells for solving diffusion equations, and provide their stability analysis and error estimates for the linear heat equation. A comparison between the traditional LDG method on a single mesh and the two versions of the central LDG method on overlapping cells is also made. Numerical experiments are provided to validate the quantitative conclusions from the analysis and to support conclusions for general polynomial degrees.

引用

页码：1009 / 1032

页数：24

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