Geodesic
Collage-type approach to inverse problems for elliptic PDEs on perforated domains
Electronic journal of differential equations, Tome 2015 (2015)
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},
     year = {2015},
     volume = {2015},
     zbl = {1515.35351},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a21/}
}
TY  - JOUR
AU  - Kunze,  Herb E.
AU  - La Torre,  Davide
TI  - Collage-type approach to inverse problems for elliptic PDEs on perforated domains
JO  - Electronic journal of differential equations
PY  - 2015
VL  - 2015
UR  - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a21/
LA  - en
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%0 Journal Article
%A Kunze,  Herb E.
%A La Torre,  Davide
%T Collage-type approach to inverse problems for elliptic PDEs on perforated domains
%J Electronic journal of differential equations
%D 2015
%V 2015
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a21/
%G en
%F EJDE_2015__2015__a21
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/