Convergence Analysis of a Symmetric Dual-Wind Discontinuous Galerkin Method

被引：13

作者：

Lewis, Thomas ^{[1
]}

Neilan, Michael ^{[2
]}

机构：

[1] Univ N Carolina, Dept Math & Stat, Greensboro, NC 27412 USA

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2014年 / 59卷 / 03期

关键词：

Discontinuous Galerkin methods; Symmetric; Error estimates; FINITE-ELEMENT-METHOD; CONVECTION-DIFFUSION PROBLEMS; ELLIPTIC PROBLEMS; EQUATIONS;

D O I：

10.1007/s10915-013-9773-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new symmetric discontinuous Galerkin method for second order elliptic problems is analyzed. We show that the numerical method is stable for any positive penalty parameter and converges with optimal order provided the exact solution is sufficiently regular. These results are also shown to hold for some non-positive penalty parameters. Numerical experiments are presented that support the theoretical results.

引用

页码：602 / 625

页数：24

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