Shape sensitivity analysis of the Dirichlet Laplacian in a half-space

Chérif Amrouche (1) , Sarka Necasova , Jan Sokolowski (2)

1 LMAP - Laboratoire de Mathématiques appliquées de Pau
2 IECN - Institut Élie Cartan de Nancy

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. 52

Domaines: Equations aux dérivées partielles [math.AP]

Chérif Amrouche, Sarka Necasova, Jan Sokolowski. Shape sensitivity analysis of the Dirichlet Laplacian in a half-space. Bulletin of the Polish Academy of Sciences - Mathematics, 2004, 52 (4), pp.365-380. ⟨hal-00145644⟩