Influence of a boundary perforation on the Dirichlet energy

• Autorzy: Dambrine M. , Vial G.
• Języki publikacji: EN

Abstrakty

EN

We consider some singular perturbations of the boundary of a smooth domain. Such domain variations are not differentiable within the classical theory of shape calculus. We mimic the topological asymptotic and we derive an asymptotic expansion of the shape function in terms of a size parameter. The two-dimensional case of the Dirichlet energy is treated in detail. We give a full theoretical proof as well as a numerical confirmation of the results.

Słowa kluczowe

EN

singular shape perturbation; shape derivatives; topological derivatives; multi-scale asymptotic expansion

PL

pochodna kształtu; pochodna topologiczna

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2005
• Tom: Vol. 34, no 1
• Strony: 117--136
• Opis fizyczny: Bibliogr. 17 poz., wykr.

Twórcy

autor

Dambrine M.

• Laboratoire de Mathematique Appliquee de Compiegne Universite de Technologie de Compiegne, France

autor

Vial G.

• Departement de Mathematiques ENS Cachan Bretagne and IRMAR, Rennes, France

Bibliografia

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