C0 interior penalty methods for fourth order elliptic boundary value problems on polygonal domains

被引：241

作者：

Brenner, SC ^{[1
]}

Sung, LY ^{[1
]}

机构：

[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2005年 / 22-3卷 / 01期

基金：

美国国家科学基金会;

关键词：

Discontinuous Galerkin methods; fourth order problems; post-processing;

D O I：

10.1007/s10915-004-4135-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

C-0 interior penalty methods for fourth order elliptic boundary value problems on polygonal domains are analyzed in this paper. A post-processing procedure that can generate C-1 approximate solutions from the C-0 approximate solutions is presented. New C-0 interior penalty methods based on the techniques involved in the post-processing procedure are introduced. These new methods are applicable to rough right-hand sides.

引用

页码：83 / 118

页数：36

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