Topological derivatives for semilinear elliptic equations

• Autorzy: Iguernane M. , Nazarov S. A. , Roche J. R. , Sokolowski J. , Szulc K.
• Języki publikacji: EN

Abstrakty

EN

The form of topological derivatives for an integral shape functional is derived for a class of semilinear elliptic equations. The convergence of finite element approximation for the topological derivatives is shown and the error estimates in the L [...] norm are obtained. The results of numerical experiments which confirm the theoretical convergence rate are presented.

Słowa kluczowe

EN

shape optimization; topological derivative; level set method; variational inequality; asymptotic analysis

PL

optymalizacja kształtu; pochodna topologiczna; nierówność wariacyjna; analiza asymptotyczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2009
• Tom: Vol. 19, no 2
• Strony: 191--205
• Opis fizyczny: Bibliogr. 31 poz., wykr.

Twórcy

autor

Iguernane M.

• Laboratoire de Mathématiques, Institut Elie Cartan Université Henri Poincaré, UMR 7502 Nancy-Université-CNRS-INRIA Nancy 1, B.P. 239, 54506 Vandoeuvre lès Nancy Cedex, France

autor

Nazarov S. A.

• Institute of Mechanical Engineering Problems V.O., Bolshoi pr., 61, 199178, St. Petersburg, Russia

autor

Roche J. R.

• Laboratoire de Mathématiques, Institut Elie Cartan Université Henri Poincaré, UMR 7502 Nancy-Université-CNRS-INRIA Nancy 1, B.P. 239, 54506 Vandoeuvre lès Nancy Cedex, France

autor

Sokolowski J.

• Laboratoire de Mathématiques, Institut Elie Cartan Université Henri Poincaré, UMR 7502 Nancy-Université-CNRS-INRIA Nancy 1, B.P. 239, 54506 Vandoeuvre lès Nancy Cedex, France

autor

Szulc K.

• Laboratoire de Mathématiques, Institut Elie Cartan Université Henri Poincaré, UMR 7502 Nancy-Université-CNRS-INRIA Nancy 1, B.P. 239, 54506 Vandoeuvre lès Nancy Cedex, France

Bibliografia

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