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Welcome to the home page of the Shape and Topology Optimization Group of the
Centre de Mathématiques Appliquées de l'École
Polytechnique (CMAP). Its members are:
Our collaborators (past and present) outside from CMAP are :
Here is our list of publications.
A Scilab code for shape optimization by the level set method. A FreeFem++ toolbox for shape optimization. All the pictures and animations have been generated with xd3d. |
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Structural optimization is a major concern in the design
of mechanical systems in the industry (civil engineering,
car makers, aeronautics, aerospace). Engineers do not
content themselves with a mere improvement of a few
mechanical properties, but they strive for a global
optimization of weight, rigidity, resistence and cost.
Traditionnaly, engineers proceed by trial and error, and optimization is really a matter of intuition and know-how. This is of course an old-fashion, costly, and imperfect way of optimizing. The modern trend is to use more and more numerical softwares which simultaneously analyze and optimize many possible designs, making optimal design an automatic process. We develop different algorithms to compute optimal shapes and structures. More details, as well as many numerical results, can be obtained by clicking on the links below. |
Compliance and Eigenvalues Topology Optimization by the Homogenization Method |
Other objective functions. Mechanisms and MEMS |
Levelset method |
Shape sensitivity method |