An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems

Athmane Bakhta (1) , Damiano Lombardi (2)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
2 REO - Numerical simulation of biological flows

This work deals with an a posteriori error estimator for hermitian positive eigenvalue problems. The proposed estimator is based on the residual and the definition of suitable shifts in the matrix spectrum. The mathematical properties (certification and sharpness) are investigated and some numerical experiments are proposed.

Mots clés: a posteriori error estimation; hermitian eigenvalue problems

Domaines: Modélisation et simulation; Analyse numérique [math.NA]

Athmane Bakhta, Damiano Lombardi. An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems. 2017. ⟨hal-01584180⟩