Inverse Problems and Meshless Methods in Partial Differential Equations

Publications

Iterative and range test methods for an inverse source problem for acoustic waves

Publication . Alves, Carlos; Kress, Rainer; Serranho, Pedro

We propose two methods for solving an inverse source problem for time-harmonic acoustic waves. Based on the reciprocity gap principle a nonlinear equation is presented for the locations and intensities of the point sources that can be solved via Newton iterations. To provide an initial guess for this iteration we suggest a range test algorithm for approximating the source locations. We give a mathematical foundation for the range test and exhibit its feasibility in connection with the iteration method by some numerical examples.

2009-03-05Journal article

Open access