Un algorithme d'identification de frontières soumises à des conditions aux limites de Signorini
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 34, Issue: 3, page 707-722
- ISSN: 0764-583X
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topChaabane, Slim, and Jaoua, Mohamed. "Un algorithme d'identification de frontières soumises à des conditions aux limites de Signorini." ESAIM: Mathematical Modelling and Numerical Analysis 34.3 (2010): 707-722. <http://eudml.org/doc/197431>.
@article{Chaabane2010,
abstract = {
This work deals with a non linear inverse problem of reconstructing
an unknown boundary γ, the boundary conditions prescribed on γ being of Signorini type,
by using boundary measurements. The problem is turned into an optimal shape design one, by constructing
a Kohn & Vogelius-like cost function, the only minimum of which is proved to be the unknown boundary.
Furthermore, we prove that the derivative of this cost function with respect to a direction θ
depends only on the state u0, and not on its Lagrangian derivative u1(θ).
},
author = {Chaabane, Slim, Jaoua, Mohamed},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Geometrical inverse problems; identification;
Signorini type boundary conditions; unknown boundary; domaine derivatives;
Kohn-Vogelius function; optimal shape design.; geometrical inverse problems; Signorini type boundary conditions; domain derivative; Kohn-Vogelius function; optimal shape design; numerical examples; gradient algorithm},
language = {eng},
month = {3},
number = {3},
pages = {707-722},
publisher = {EDP Sciences},
title = {Un algorithme d'identification de frontières soumises à des conditions aux limites de Signorini},
url = {http://eudml.org/doc/197431},
volume = {34},
year = {2010},
}
TY - JOUR
AU - Chaabane, Slim
AU - Jaoua, Mohamed
TI - Un algorithme d'identification de frontières soumises à des conditions aux limites de Signorini
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 34
IS - 3
SP - 707
EP - 722
AB -
This work deals with a non linear inverse problem of reconstructing
an unknown boundary γ, the boundary conditions prescribed on γ being of Signorini type,
by using boundary measurements. The problem is turned into an optimal shape design one, by constructing
a Kohn & Vogelius-like cost function, the only minimum of which is proved to be the unknown boundary.
Furthermore, we prove that the derivative of this cost function with respect to a direction θ
depends only on the state u0, and not on its Lagrangian derivative u1(θ).
LA - eng
KW - Geometrical inverse problems; identification;
Signorini type boundary conditions; unknown boundary; domaine derivatives;
Kohn-Vogelius function; optimal shape design.; geometrical inverse problems; Signorini type boundary conditions; domain derivative; Kohn-Vogelius function; optimal shape design; numerical examples; gradient algorithm
UR - http://eudml.org/doc/197431
ER -
References
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