An inverse problem for Helmholtz equation

Tadi, M and Nandakumaran, AK and Sritharan, SS (2011) An inverse problem for Helmholtz equation. In: Inverse Problems in Engineering, 19 (6). pp. 839-854.

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Abstract

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.

Item Type:	Journal Article
Publication:	Inverse Problems in Engineering
Publisher:	Taylor and Francis Group
Additional Information:	Copyright of this article belongs to Taylor and Francis Group.
Keywords:	inverse problem;Helmholtz equation;elliptic system
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	30 Mar 2012 07:34
Last Modified:	30 Mar 2012 07:34
URI:	http://eprints.iisc.ac.in/id/eprint/44205

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