Inverse Problems and Meshless Methods in Partial Differential Equations

Publicações

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

Publication . Alves, Carlos; Kress, Rainer; Serranho, Pedro

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.

2009-03-05Artigo científico

Acesso aberto

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Palavras-chave

numerical analysis,partial differential equations,inverse problems,meshless methods, Exact sciences ,Exact sciences/Mathematics

Entidade financiadora

Fundação para a Ciência e a Tecnologia, I.P.
Fundação para a Ciência e a Tecnologia, I.P.

Programa de financiamento

Concurso para Projectos de I&D em todos os Domínios Científicos - 2004
POCI

Número da atribuição

POCI/MAT/60863/2004