Missing boundary data recovering for the Helmholtz problem

被引：3

作者：

Ben Fatma, Riadh ^{[1
]}

Azaiez, Mejdi ^{[2
]}

Ben Abda, Amel ^{[1
]}

Gmati, Nabil ^{[1
]}

机构：

[1] Ecole Natl Ingn Tunis, LAMSIN, Tunis 1002, Tunisia

[2] ENSCPB, CNRS, UMR 8508, TREFLE, F-33607 Pessac, France

来源：

COMPTES RENDUS MECANIQUE | 2007年 / 335卷 / 12期

关键词：

data completion; inverse problem; Cauchy-Helmholtz problem; interface operator; Steklov-Poincare operator;

D O I：

10.1016/j.crme.2007.10.006

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This Note is dedicated to the numerical treatment of the ill-posed Cauchy-Helmholtz problem. Resorting to the domain decomposition tools, these missing boundary data are rephrased through an 'interfacial' equation. This equation is solved via a preconditioned Richardson algorithm with dynamic relaxation. The efficiency of the proposed method is illustrated by some numerical experiments.

引用

页码：787 / 792

页数：6

共 10 条

[1] Solving Cauchy problems by minimizing an energy-like functional [J].