A fictitious domain method for Dirichlet problems using mixed finite elements

被引：5
|
作者：
Maitre, JF
Tomas, L
机构：
[1] Ecole Cent Lyon, UMR CNRS 5585, F-69131 Ecully, France
[2] Univ Lyon 1, UMR CNRS 5585, F-69622 Villeurbanne, France
来源：
APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 04期
关键词：
D O I：
10.1016/S0893-9659(99)00045-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we propose an approximation of the solution of a Dirichlet problem by means of a fictitious domain method. The original problem is replaced by a saddle-point problem defined on the fictitious domain Omega. To discretize the continuous problem, we use Raviart Thomas mixed finite elements. We give an error estimate and we prove that the condition number of the linear system to solve is independent of the discretization parameter. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：117 / 120
页数：4
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