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

Alves, Carlos; Kress, Rainer; Serranho, Pedro

http://hdl.handle.net/10400.8/12895

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Iterative and range test methods for an inverse source problem for acoustic waves.pdf	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.	290.08 KB	Adobe PDF	Download

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Authors

Alves, Carlos

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

Acoustic waves Nonlinear equations Initial guess Inverse source problem Iteration method Mathematical foundations Newton iterations Numerical example Point sources Reciprocity gap Source location Test algorithms Test method Time-harmonic Acoustics

URI

http://hdl.handle.net/10400.8/12895

Citation

Alves, C., Kress, R., & Serranho, P. (2009). Iterative and range test methods for an inverse source problem for acoustic waves. Inverse Problems, 25(5), 055005. DOI: https://doi.org/10.1088/0266-5611/25/5/055005.