Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems

被引：76

作者：

John, V

Maubach, JM

Tobiska, L

机构：

[1] Univ Magdeburg, Inst Anal & Numer, D-39016 Magdeburg, Germany

[2] Univ Pittsburgh, Dept Math & Stat, Pittsburgh, PA 15260 USA

来源：

NUMERISCHE MATHEMATIK | 1997年 / 78卷 / 02期

关键词：

D O I：

10.1007/s002110050309

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze nonconforming finite element approximations of streamline-diffusion type for solving convection-diffusion problems. Both the theoretical and numerical investigations show that additional jump terms have to be added in the nonconforming case in order to get the same O(h(k+1/2)) order of convergence in L-2 as in the conforming case for convection dominated problems. A rigorous error analysis supported by numerical experiments is given.

引用

页码：165 / 188

页数：24

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