The Cauchy problem for Laplace's equation via a modified conjugate gradient method and energy space approaches - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2021

The Cauchy problem for Laplace's equation via a modified conjugate gradient method and energy space approaches

Résumé

In the present work, we focus on the resolution of the Cauchy Laplace problem using an energetic variational minimization approach [18] in the framework of a finite element method. A new strategy of regularization, called a filtering procedure regularization, is developed. The advantage of using this new regularization is that it does not require a regularization parameter and is easy to implement. An optimal a priori error estimate is proven, for the first time up to our knowledge, in the context of the finite element method. Some numerical results are presented to illustrate the performance of our approach.
Fichier principal
Vignette du fichier
Amdouni_Saber_hal.pdf (4.55 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03232979 , version 1 (23-05-2021)

Identifiants

  • HAL Id : hal-03232979 , version 1

Citer

Saber Amdouni, Amel Ben Abda. The Cauchy problem for Laplace's equation via a modified conjugate gradient method and energy space approaches. 2021. ⟨hal-03232979⟩

Collections

TDS-MACS
71 Consultations
117 Téléchargements

Partager

Gmail Facebook X LinkedIn More