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Iterative and range test methods for an inverse source problem for acoustic waves
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| 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 |
Orientador(es)
Resumo(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.
Descrição
Palavras-chave
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
Contexto Educativo
Citação
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.
Editora
IOP Publishing