| Title | On the reconstruction of heat and acoustic sources from boundary measurements |
| Publication Type | Unpublished |
| Year of Publication | 2012 |
| Authors | Martins NFM |
| Series Title | Preprint |
| Keywords | fundamental solutions, Inverse source problems, Laplace and Helmholtz boundary value problems, plane waves. |
| Abstract | We address the identification and reconstruction of source functions in inverse boundary value problems for the Helmholtz and Laplace problems. We introduce particular affine/linear classes of sources and address the identification and reconstruction is such classes. In order to solve these inverse problems we propose a new numerical method that relies on solving several Helmholtz/Laplace boundary value problems. We establish a connection between these particular classes and full identification results using many boundary measurements. The developed methods are theoretically justified and illustrated with several numerical examples. |
| URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2012/18_12.pdf |
