An inverse problem for Helmholtz equation

被引：14

作者：

Tadi, M. ^{[1
]}

Nandakumaran, A. K. ^{[2
]}

Sritharan, S. S. ^{[3
]}

机构：

[1] Univ Colorado, Dept Mech Engn, Denver, CO 80217 USA

[2] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

[3] USN, Postgrad Sch, Coll Sci & Engn, Monterey, CA 93943 USA

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2011年 / 19卷 / 06期

关键词：

inverse problem; Helmholtz equation; elliptic system; OPTICAL TOMOGRAPHY; SCATTERING; SCHEME;

D O I：

10.1080/17415977.2011.556705

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article is concerned with subsurface material identification for the 2-D Helmholtz equation. The algorithm is iterative in nature. It assumes an initial guess for the unknown function and obtains corrections to the guessed value. It linearizes the otherwise nonlinear problem around the background field. The background field is the field variable generated using the guessed value of the unknown function at each iteration. Numerical results indicate that the algorithm can recover a close estimate of the unknown function based on the measurements collected at the boundary.

引用

页码：839 / 854

页数：16

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