THE VALIDITY OF JOHNSON-NEDELEC'S BEM-FEM COUPLING ON POLYGONAL INTERFACES

被引：48
|
作者：
Sayas, Francisco-Javier [1 ,2 ]
机构：
[1] Univ Zaragoza, Dep Matemat Aplicada, CPS, Zaragoza 50018, Spain
[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2009年 / 47卷 / 05期
关键词：
boundary element method-finite element method coupling; Lipschitz domains; ELEMENT METHODS; FINITE;
D O I：
10.1137/08072334X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this short article we prove that the classical one-equation (or Johnson-Nedelec) coupling of finite and boundary elements can be applied with a Lipschitz coupling interface. Because of the way it was originally approached from the analytical standpoint, this BEM-FEM scheme required smooth boundaries and hence produced a consistency error in the finite element part. With a variational argument, we prove that this requirement is not needed and that stability holds for all pairs of discrete space, as it inherits the underlying ellipticity of the problem.
引用
收藏
页码：3451 / 3463
页数：13
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