Unified analysis of discontinuous Galerkin methods for elliptic problems

被引：2285

作者：

Arnold, DN ^{[1
]}

Brezzi, F

Cockburn, B

Marini, LD

机构：

[1] Univ Minnesota, Inst Math & Its Applicat, Minneapolis, MN 55455 USA

[2] CNR, Ist Anal Numer, I-27100 Pavia, Italy

[3] CNR, Dipartimento Matemat, I-27100 Pavia, Italy

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2002年 / 39卷 / 05期

关键词：

elliptic problems; discontinuous Galerkin; interior penalty;

D O I：

10.1137/S0036142901384162

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical treatment of elliptic problems.

引用

页码：1749 / 1779

页数：31

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