Geodesic
Shape Sensitivity Analysis of the Dirichlet Laplacian in a Half-Space
Cherif Amrouche 1   ; Šárka Nečasová 2   ; Jan Sokołowski 3
1 Laboratoire de Mathématiques Appliquées, I.P.R.A. Université de Pau et des Pays de L'Adour Av. de l'Université 64000 Pau, France
2 Mathematical Institute of the Academy of Sciences Žitná 25 11567 Praha 1, Czech Republic
3 Institut Elie Cartan Laboratoire de Mathématiques Université Henri Poincaré Nancy I B.P. 239 54506 Vandœuvre-lès-Nancy Cedex, France
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 4, pp. 365-380 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ba52-4-3
Keywords: material shape derivatives solutions dirichlet laplacian half space derived application speed method proposed method general shape sensitivity analysis unbounded domains neumann laplacian elasticity boundary value problems

Cherif Amrouche  1   ; Šárka Nečasová  2   ; Jan Sokołowski  3

1 Laboratoire de Mathématiques Appliquées, I.P.R.A. Université de Pau et des Pays de L'Adour Av. de l'Université 64000 Pau, France
2 Mathematical Institute of the Academy of Sciences Žitná 25 11567 Praha 1, Czech Republic
3 Institut Elie Cartan Laboratoire de Mathématiques Université Henri Poincaré Nancy I B.P. 239 54506 Vandœuvre-lès-Nancy Cedex, France 
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     author = {Cherif Amrouche and \v{S}\'arka Ne\v{c}asov\'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},
     pages = {365--380},
     year = {2004},
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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) no. 4, pp. 365-380. doi: 10.4064/ba52-4-3

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