A REGULARIZATION METHOD FOR COEFFICIENT IDENTIFICATION OF A NONHOMOGENEOUS HELMHOLTZ-EQUATION

Jie Chen; Weimin Han; Friedmar Schulz

doi:10.1088/0266-5611/10/5/008

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A REGULARIZATION METHOD FOR COEFFICIENT IDENTIFICATION OF A NONHOMOGENEOUS HELMHOLTZ-EQUATION

Journal article

Peer reviewed

A REGULARIZATION METHOD FOR COEFFICIENT IDENTIFICATION OF A NONHOMOGENEOUS HELMHOLTZ-EQUATION

Jie Chen, Weimin Han and Friedmar Schulz

Inverse problems, Vol.10(5), pp.1115-1121

10/01/1994

DOI: 10.1088/0266-5611/10/5/008

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Abstract

An asymptotic regularization method has previously been used for coefficient identification of a non-homogeneous Helmholtz equation. The method serves the purpose of proving some theoretical results for the inverse problem, but it seems to be impossible to implement it practically. In this paper, we propose and analyse an improved method which is readily implementable. We show various convergence results, and comment on using the new method for actual numerical computations.

Mathematics

Physical Sciences

Physics

Mathematics, Applied

Physics, Mathematical

Science & Technology

Details

Title: Subtitle: A REGULARIZATION METHOD FOR COEFFICIENT IDENTIFICATION OF A NONHOMOGENEOUS HELMHOLTZ-EQUATION
Creators: Jie Chen
Weimin Han
Friedmar Schulz
Resource Type: Journal article
Publication Details: Inverse problems, Vol.10(5), pp.1115-1121
Publisher: IOP PUBLISHING LTD
DOI: 10.1088/0266-5611/10/5/008
ISSN: 0266-5611
eISSN: 1361-6420
Number of pages: 7
Language: English
Date published: 10/01/1994
Academic Unit: Mathematics
Record Identifier: 9984240868402771

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