Shape Sensitivity Analysis of the Dirichlet Laplacian in a Half-Space

• Autorzy: Cherif Amrouche , Šárka Nečasová , Jan Sokołowski
• Języki publikacji: EN

Abstrakty

EN

Material and shape derivatives for solutions to the Dirichlet Laplacian in a half-space are derived by an application of the speed method. The proposed method is general and can be used for shape sensitivity analysis in unbounded domains for the Neumann Laplacian as well as for the elasticity boundary value problems.

Kategorie tematyczne

• 74P99: None of the above, but in this section
• 35J05: Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation
• 49Q10: Optimization of shapes other than minimal surfaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 4
• Strony: 365-380

Daty

wydano

2004

Twórcy

autor

Cherif Amrouche

• Laboratoire de Mathématiques Appliquées, I.P.R.A., Université de Pau et des Pays de L'Adour, Av. de l'Université, 64000 Pau, France

autor

Šárka Nečasová

• Mathematical Institute of the Academy of Sciences, Žitná 25, 11567 Praha 1, Czech Republic

autor

Jan Sokołowski

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

Identyfikatory

DOI

10.4064/ba52-4-3