Selfadjoint extensions for the elasticity system in shape optimization

• Autorzy: Nazarov S. A. , Sokołowski J.
• Języki publikacji: EN

Abstrakty

EN

Two approaches are proposed to modelling of topological variations in elastic solids. The first approach is based on the theory of selfadjoint extensions of differential operators. In the second approach function spaces with separated asymptotics and point asymptotic conditions are introduced, and a variational formulation is established. For both approaches, accuracy estimates are derived.

Słowa kluczowe

EN

elasticity boundary value problem; singular perturbation of geometrical domain; selfadjoint extension; shape optimization; topological derivative of shape functional

PL

zagadnienie brzegowe sprężystości; rozszerzenie samosprzężone; optymalizacja kształtu

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: Vol. 52, nr 3
• Strony: 237--248
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Nazarov S. A.

• Institute of Mechanical Engineering Problems, Laboratory of Mathematical Methods, Russian Academy of Sciences, V.O. Bol'shoi 61, 199178 St. Petersburg, Russia

autor

Sokołowski J.

• Institut Elie Cartan, Laboratoire de Mathématiques, Université Henri Poincaré Nancy I, B.P. 239, 54506 Vandœuvre-lès-Nancy Cedex, France

Bibliografia

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