Geodesic
Bilevel Approach of a Decomposed Topology Optimization Problem
A. Makrizi1 ; B. Radi2
1 GGDA, F.S. Ben M’sik, Boulevard Cdt Driss Harti, BP: 7955, Casablanca, Morocco
2 FST Errachidia, BP: 509, Boutalamine, Errachidia, Morocco
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 128-131

Voir la notice de l'article provenant de la source EDP Sciences

In topology optimization problems, we are often forced to deal with large-scale numerical problems, so that the domain decomposition method occurs naturally. Consider a typical topology optimization problem, the minimum compliance problem of a linear isotropic elastic continuum structure, in which the constraints are the partial differential equations of linear elasticity. We subdivide the partial differential equations into two subproblems posed on non-overlapping sub-domains. In this paper, we consider the resulting problem as multilevel one and show that it can be written as one level problem
DOI : 10.1051/mmnp/20105721

A. Makrizi 1 ; B. Radi 2

1 GGDA, F.S. Ben M’sik, Boulevard Cdt Driss Harti, BP: 7955, Casablanca, Morocco
2 FST Errachidia, BP: 509, Boutalamine, Errachidia, Morocco 
@article{10_1051_mmnp_20105721,
     author = {A. Makrizi and B. Radi},
     title = {Bilevel {Approach} of a {Decomposed} {Topology} {Optimization} {Problem}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {128--131},
     publisher = {mathdoc},
     volume = {5},
     number = {7 Supplement},
     year = {2010},
     doi = {10.1051/mmnp/20105721},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105721/}
}
TY  - JOUR
AU  - A. Makrizi
AU  - B. Radi
TI  - Bilevel Approach of a Decomposed Topology Optimization Problem
JO  - Mathematical modelling of natural phenomena
PY  - 2010
SP  - 128
EP  - 131
VL  - 5
IS  - 7 Supplement
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105721/
DO  - 10.1051/mmnp/20105721
LA  - en
ID  - 10_1051_mmnp_20105721
ER  - 
%0 Journal Article
%A A. Makrizi
%A B. Radi
%T Bilevel Approach of a Decomposed Topology Optimization Problem
%J Mathematical modelling of natural phenomena
%D 2010
%P 128-131
%V 5
%N 7 Supplement
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105721/
%R 10.1051/mmnp/20105721
%G en
%F 10_1051_mmnp_20105721
A. Makrizi; B. Radi. Bilevel Approach of a Decomposed Topology Optimization Problem. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 128-131. doi: 10.1051/mmnp/20105721

[1] A. Makrizi, B. Radi, A. E. Hami Solution of the topology optimization problem based subdomains method Applied Mathematical Sciences 2008 2029 2045

[2] A. Makrizi, B. Radi and A. El Hami. Approche multiniveaux pour la résolution de l’optimisation topologique décomposée. Proceedings du premier congrès de la société marocaine de mathématiques appliquées, ENIM, Rabat, 06-08 Février 2008.

[3] J.F. Bard. Practical bilevel optimization: algorithms and applications. Kluwer Academic Publishers, Dordrecht, 1998.

[4] M.P. Bendsøe, O. Sigmund. Topology optimization, theory, methods and applications. Springer Verlag, 2003.

Cité par Sources :