Title: A numerical method for an inverse problem for Helmholtz equation with separable wavenumber

Authors: Yuanlong Wang; M. Tadi

Addresses: Department of Mechanical Engineering, University of Colorado Denver, Denver, CO, USA ' Department of Mechanical Engineering, University of Colorado Denver, Denver, CO, USA

Abstract: This paper is concerned with inverse evaluation of the wavenumber for a Helmholtz equation. It is assumed that the wavenumber is composed of a known uniform background and an unknown separable part. This function can closely model an unhealthy abnormality in a healthy domain. The algorithm assumes an initial guess for the unknown perturbation part and obtains corrections to the guessed value. Numerical results indicate that the algorithm can recover close estimates of the unknown wavenumber based on boundary measurements.

Keywords: Helmholtz equation; separable wavenumber; quasi-reversibility; inverse evaluation; unknown wavenumber; boundary measurements.

DOI: 10.1504/IJCSM.2017.083156

International Journal of Computing Science and Mathematics, 2017 Vol.8 No.1, pp.1 - 11

Available online: 21 Mar 2017 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article