A posteriori estimates for a non-overlapping domain decomposition method

被引：19

作者：

Otto, FC ^{[1
]}

Lube, G ^{[1
]}

机构：

[1] Univ Gottingen, Inst Numer & Angew Math, D-37085 Gottingen, Germany

来源：

COMPUTING | 1999年 / 62卷 / 01期

关键词：

domain decomposition; interface conditions; a posteriori error estimates; finite elements;

D O I：

10.1007/s006070050011

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We consider a non-overlapping domain decomposition method for diffusion-reaction problems which is known to converge strongly from previous work. We derive an a posteriori estimate which bounds the errors on the subdomains by the difference of traces of the subdomain solutions. If the domain decomposition method is discretized by finite elements we can adapt the techniques of the usual a posteriori error analysis for finite elements to get an a posteriori estimate for the discrete subdomain solutions.

引用

页码：27 / 43

页数：17

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