Alves, Carlos J. S.Kress, RainerSerranho, Pedro2011-10-312011-10-312009Alves, Carlos; Kress, Rainer; Serranho, Pedro - Iterative and range test methods for an inverse source problem for acoustic waves. "Inverse Problems" [Em linha]. ISSN 0266-5611 (Print) 1361-6420 (Online). Vol. 25, nº 5 (2009), p. 1-180266-5611http://hdl.handle.net/10400.2/1932We 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.engInverse scattering problemSource identificationExterior sourcejournal article