Shape derivative of the Dirichlet energy for a transmission problem - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2019

Shape derivative of the Dirichlet energy for a transmission problem

Résumé

For a transmission problem in a truncated two-dimensional cylinder located beneath the graph of a function u, the shape derivative of the Dirichlet energy (with respect to u) is shown to be well-defined and is computed. The main difficulties in this context arise from the weak regularity of the domain and the possible non-empty intersection of the graph of u and the transmission interface. The result is applied to establish the existence of a solution to a free boundary transmission problem for an electrostatic actuator.
Fichier principal
Vignette du fichier
BG_Transmission_Model_h_190120.pdf (358.65 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01988456 , version 1 (21-01-2019)
hal-01988456 , version 2 (29-04-2020)

Identifiants

Citer

Philippe Laurençot, Christoph Walker. Shape derivative of the Dirichlet energy for a transmission problem. 2019. ⟨hal-01988456v1⟩
124 Consultations
132 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More