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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-3, author = {Cherif Amrouche and \v S\'arka Ne\v casov\'a and Jan Soko\l owski}, title = {Shape Sensitivity Analysis of the Dirichlet Laplacian in a Half-Space}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {52}, year = {2004}, pages = {365-380}, zbl = {1273.35100}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-3} }
Cherif Amrouche; Šárka Nečasová; Jan Sokołowski. Shape Sensitivity Analysis of the Dirichlet Laplacian in a Half-Space. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 365-380. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-3/