A discontinuous hp finite element method for diffusion problems:: 1-D analysis

被引：82

作者：

Babuska, I ^{[1
]}

Baumann, CE ^{[1
]}

Oden, JT ^{[1
]}

机构：

[1] Univ Texas, Texas Inst Computat & Appl Math, Austin, TX 78712 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1999年 / 37卷 / 09期

关键词：

discontinuous Galerkin; finite elements; diffusion operators;

D O I：

10.1016/S0898-1221(99)00117-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents the mathematical analysis of a new variant of the discontinuous Galerkin method which is applicable to the numerical solution of diffusion problems, not requiring auxiliary variables such as those used in mixed methods. The focus of this study is on a class of linear second-order boundary value problems for which we prove stability and a priori error estimates in both the finite; and infinite-dimensional spaces. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：103 / 122

页数：20

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