Real-time reconstruction of time-varying point sources in a three-dimensional scalar wave equation

This paper discusses a reconstruction of point sources in a three-dimensional scalar wave equation from boundary measurements. We assume that the number, locations and magnitudes of point sources are unknown. Under these assumptions, we propose a real-time reconstruction method of these point sources based on the concept of the reciprocity gap functional. In our method, the number, locations and magnitudes of point sources can be identified within small delay. The effectiveness of the proposed method is shown by numerical examples. (papers)