On the Reconstruction of Characteristic Sources in Helmholtz equations using the Method of Fundamental Solutions

Autor: Nuno F. M. Martins, Carlos J.S. Alves, Roberto Mamud, Nilson C. Roberty
Rok vydání: 2017
Předmět:
Zdroj: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics.
ISSN: 2359-0793
DOI: 10.5540/03.2017.005.01.0492
Popis: In we considered the inverse problem that consists in the determination of the support of characteristic sources in physical phenomena described by the modified and classical Helmholtz equations, from boundary measurements. There we identified the location of the barycenter of a star shaped support establishing a simple formula, and this allows to consider a minimization algorithm to recover the original shape, based on simulations by the method of fundamental solutions. Further numerical experiments that validate the barycenter results and the minimization algorithm are presented.
Databáze: OpenAIRE