Discrete Sobolev and Poincare inequalities for piecewise polynomial functions

被引：0

作者：

Brenner, SC ^{[1
]}

机构：

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

来源：

ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2004年 / 18卷

关键词：

discrete Sobolev inequality; discrete Poincare inequality; piecewise polynomial functions; nonconforming; discontinuous Galerkin;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Discrete Sobolev and Poincare inequalities are derived for piecewise polynomial functions on two dimensional domains. These inequalities can be applied to classical nonconforming finite element methods and discontinuous Galerkin methods.

引用

页码：42 / 48

页数：7

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