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

Alves, Carlos J. S.; Kress, Rainer; Serranho,  Pedro

http://hdl.handle.net/10400.2/1932

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Authors

Alves, Carlos J. S.

Kress, Rainer

Serranho, Pedro

Abstract(s)

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.

Keywords

Inverse scattering problem Source identification Exterior source

URI

http://hdl.handle.net/10400.2/1932

Citation

Alves, 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. 1-18

Publisher

IOPscience

Collections

Matemática e Estatística | Artigos em revistas internacionais / Papers in international journals

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