A mortar finite element method for fourth order problems in two dimensions with Lagrange multipliers

被引：4

作者：

Marcinkowski, L ^{[1
]}

机构：

[1] Warsaw Univ, Dept Math Informat & Mech, PL-02097 Warsaw, Poland

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2005年 / 42卷 / 05期

关键词：

plate problem; mortar finite element method; Lagrange multipliers; inf-sup condition; mesh-dependent norm; domain decomposition;

D O I：

10.1137/S0036142902387574

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mortar finite element method with a new Lagrange multipliers space for clamped plate problems is discussed. In the subdomains a conforming Hsieh-Clough-Tocher (HCT) macro element defined on nonmatching triangulations is utilized. The main result of the paper is the proof of an inf-sup condition with new test spaces. Finally, an error bound for Lagrange multipliers is proved.

引用

页码：1998 / 2019

页数：22

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