Abstract
In [2] 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.
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.
| Original language | English |
|---|---|
| Number of pages | 7 |
| Journal | Proceeding Series of the Brazilian Society of Computational and Applied Mathematics |
| Volume | 5 |
| Issue number | 1 |
| Publication status | Published - 2017 |
| Event | Congresso Nacional de Matemática Aplicada e Computacional - Gramado, Rio Grande do Sul, Brazil Duration: 5 Sept 2016 → 9 Sept 2016 http://2016.cnmac.org.br/ |
Keywords
- inverse source problems
- Method of fundamental solutions
- characteristic sources