Some extensions of the local discontinuous Galerkin method for convection-diffusion equations in multidimensions

被引：62

作者：

Cockburn, B ^{[1
]}

Dawson, C ^{[1
]}

机构：

[1] Univ Minnesota, Dept Math, Minneapolis, MN 55455 USA

来源：

MATHEMATICS OF FINITE ELEMENTS AND APPLICATIONS X | 2000年

关键词：

discontinuous Galerkin method; convection-diffusion equation;

D O I：

10.1016/B978-008043568-8/50014-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The local discontinuous Galerkin method has been developed recently by Cockburn and Shu for convection-dominated convection-diffusion equations. In this paper, we extend the method to multidimensional equations with non-periodic boundary conditions, and with a positive semi-definite diffusion coefficient which may depend on space and time. Stability and a priori error estimates are derived.

引用

页码：225 / 238

页数：14

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