A domain embedding method for Dirichlet problems in arbitrary space dimension

被引：0
|
作者：
Rieder, A [1 ]
机构：
[1] Univ Saarlandes, Fachbereich Math, D-66041 Saarbrucken, Germany
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 1998年 / 32卷 / 04期
关键词：
boundary value problem; fictitious domain; Galerkin scheme; scaling functions; biorthogonal wavelets; conjugate gradients; preconditioning;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An embedding method for the discretization of Dirichlet boundary value problems over general domains in arbitrary space dimension is proposed. The main advantage of the method lies in the use of Cartesian coordinates independent of the underlying domain. Error estimates and aspects of the numerical realization are considered. To obtain an efficient solver for the resulting linear system of equations an easy-to-use preconditioning is recommended and analyzed. A variety of numerical experiments illustrate and confirm the theoretical results. (C) Elsevier, Paris.
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页码：405 / 431
页数：27
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