A numerical method for an inverse problem for Helmholtz equation with separable wavenumber (Q2224148)

Summary: 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.