Geodesic
Collage-type approach to inverse problems for elliptic PDEs on perforated domains
Electronic Journal of Differential Equations, Tome 2015 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We present a collage-based method for solving inverse problems for elliptic partial differential equations on a perforated domain. The main results of this paper establish a link between the solution of an inverse problem on a perforated domain and the solution of the same model on a domain with no holes. The numerical examples at the end of the paper show the goodness of this approach.
Classification : 35R30, 35J25, 35B27
Keywords: inverse problem, collage theorem, perforated domain 
@article{EJDE_2015__2015__a21,
     author = {Kunze, Herb E. and La Torre, Davide},
     title = {Collage-type approach to inverse problems for elliptic {PDEs} on perforated domains},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a21/}
}
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Kunze, Herb E.; La Torre, Davide. Collage-type approach to inverse problems for elliptic PDEs on perforated domains. Electronic Journal of Differential Equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a21/