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

Cherif Amrouche, Šárka Nečasová, and Jan Sokołowski. "Shape Sensitivity Analysis of the Dirichlet Laplacian in a Half-Space." Bulletin of the Polish Academy of Sciences. Mathematics 52.4 (2004): 365-380. <http://eudml.org/doc/280822>.

@article{CherifAmrouche2004,
abstract = {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.},
author = {Cherif Amrouche, Šárka Nečasová, Jan Sokołowski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {shape derivative; material derivative; speed method; Dirichlet Laplacian},
language = {eng},
number = {4},
pages = {365-380},
title = {Shape Sensitivity Analysis of the Dirichlet Laplacian in a Half-Space},
url = {http://eudml.org/doc/280822},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Cherif Amrouche
AU - Šárka Nečasová
AU - Jan Sokołowski
TI - Shape Sensitivity Analysis of the Dirichlet Laplacian in a Half-Space
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 4
SP - 365
EP - 380
AB - 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.
LA - eng
KW - shape derivative; material derivative; speed method; Dirichlet Laplacian
UR - http://eudml.org/doc/280822
ER -