Shape Sensitivity Analysis of the Dirichlet Laplacian in a Half-Space
Tom 52 / 2004
Bulletin Polish Acad. Sci. Math. 52 (2004), 365-380 MSC: 35J05, 49Q10, 74P99. DOI: 10.4064/ba52-4-3
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.