A Nitsche-based domain decomposition method for hypersingular integral equations

被引：19

作者：

Chouly, Franz ^{[2
]}

Heuer, Norbert ^{[1
]}

机构：

[1] Pontificia Univ Catolica Chile, Fac Math, Santiago, Chile

[2] Univ Franche Comte, CNRS, UMR 6623, Lab Math Besancon, F-25030 Besancon, France

来源：

NUMERISCHE MATHEMATIK | 2012年 / 121卷 / 04期

关键词：

FINITE-ELEMENT-METHOD; LAGRANGE MULTIPLIERS; BOUNDARY; MORTAR;

D O I：

10.1007/s00211-012-0451-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce and analyze a Nitsche-based domain decomposition method for the solution of hypersingular integral equations. This method allows for discretizations with non-matching grids without the necessity of a Lagrangian multiplier, as opposed to the traditional mortar method. We prove its almost quasi-optimal convergence and underline the theory by a numerical experiment.

引用

页码：705 / 729

页数：25

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