Topological derivatives for semilinear elliptic equations

• Autorzy: Mohamed Iguernane , Serguei A. Nazarov , Jean-Rodolphe Roche , Jan Sokolowski , Katarzyna Szulc
• 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; levelset method; variational inequality; asymptotic analysis

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2009
• Tom: 19
• Numer: 2
• Strony: 191-205

Daty

wydano

2009

otrzymano

2008-04-28

poprawiono

2008-10-27

Twórcy

autor

Mohamed Iguernane

• 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

Serguei A. Nazarov

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

autor

Jean-Rodolphe Roche

• 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

Jan Sokolowski

• 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

Katarzyna Szulc

• 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

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Identyfikatory

DOI

10.2478/v10006-009-0016-4