The Laplace equation in 3-D domains with cracks: Dual shadows with log terms and extraction of corresponding edge flux intensity functions - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2016

The Laplace equation in 3-D domains with cracks: Dual shadows with log terms and extraction of corresponding edge flux intensity functions

Résumé

The singular solution of the Laplace equation with a straight-crack is represented by a series of eigenpairs, shadows and their associated edge flux intensity functions (EFIFs). We address the computation of the EFIFs associated with the integer eigenvalues by the quasi dual function method (QDFM).The QDFM is based on the dual eigenpairs and shadows, and we show that the dual shadows associated with the integer eigenvalues contain logarithmic terms. These are then used with the QDFM to extract EFIFs from p-version finite element solutions. Numerical examples are provided. Dedicated to the 65th birthday of prof. Martin Costabel.
Fichier principal
Vignette du fichier
QDFM_Integer_21_April_2014_mmaauth.pdf (450.94 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01111593 , version 1 (06-07-2015)

Identifiants

Citer

Samuel Shannon, Victor Péron, Zohar Yosibash. The Laplace equation in 3-D domains with cracks: Dual shadows with log terms and extraction of corresponding edge flux intensity functions. Mathematical Methods in the Applied Sciences, 2016, ⟨10.1002/mma.3562⟩. ⟨hal-01111593⟩
404 Consultations
217 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More