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A finite volume method based on the Crouzeix–Raviart element for elliptic PDE's in two dimensions
被引：7
作者：
Panagiotis Chatzipantelidis
机构：
[1] Department of Mathematics,
[2] University of Crete,undefined
[3] GR-71409 Heraklion,undefined
[4] Crete,undefined
[5] Greece
,undefined
[6] Institute of Applied and Computational Mathematics,undefined
[7] FO.R.T.H,undefined
[8] GR-71110 Heraklion,undefined
[9] Crete,undefined
[10] Greece; e-mail: chatzipa@math.uch.gr
,undefined
来源：
Numerische Mathematik
|
1999年
/
82卷
关键词：
Mathematics Subject Classification (1991):65N30, 65N15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce and analyse a finite volume method for the discretization of elliptic boundary value problems in \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$\mathbb{R}^2$\end{document}. The method is based on nonuniform triangulations with piecewise linear nonconforming spaces. We prove optimal order error estimates in the \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$L^2$\end{document}–norm and a mesh dependent \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$H^1$\end{document}–norm.
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页码：409 / 432
页数：23
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