A numerical algorithm for solving inverse problems of two-dimensional wave equations

Abstract

The new iterative numerical algorithm of the pulse-spectrum technique (PST) is extended and developed to solve inverse problems of two-dimensional linear wave equations. It has the practical advantages of having the necessary data measured on a portion of the boundary only and no geometric limitation on the testing objects. Numerical simulations on several simple examples are carried out to test the feasibility and to study the general characteristics of this technique without the real measurement data. It is found that PST does give excellent results even with a very coarse computational grid and it is as robust as in the one-dimensional case.