A nonlinear approach to absorbing boundary conditions for the semilinear wave equation

被引：20

作者：

Szeftel, J ^{[1
]}

机构：

[1] Univ Paris 13, Inst Galilee, LAGA UMR 7539, F-93430 Villetaneuse, France

来源：

MATHEMATICS OF COMPUTATION | 2006年 / 75卷 / 254期

关键词：

semilinear wave equation; absorbing boundary conditions; paradifferential calculus;

D O I：

10.1090/S0025-5718-06-01820-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a family of absorbing boundary conditions for the semilinear wave equation. Our principal tool is the paradifferential calculus which enables us to deal with nonlinear terms. We show that the corresponding initial boundary value problems are well posed. We finally present numerical experiments illustrating the efficiency of the method.

引用

页码：565 / 594

页数：30

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