A second-order immersed interface technique for an elliptic Neumann problem

被引：12
|
作者：
Bouchon, Francois
Peichl, Gunther H.
机构：
[1] Graz Univ, Dept Math & Sci Comp, A-8010 Graz, Austria
[2] Univ Clermont Ferrand, Dept Math, Clermont Ferrand, France
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 23卷 / 02期
关键词：
finite differences; immersed interface; mixed boundary value problem;
D O I：
10.1002/num.20187
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A second-order finite difference scheme for mixed boundary value problems is presented. This scheme does not require the tangential derivative of the Neumann datum. It is designed for applications in which the Neumann condition is available only in discretized form. The second-order convergence of the scheme is proven and the theory is validated by numerical examples. (c) 2006 Wiley Periodicals, Inc.
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页码：400 / 420
页数：21
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