A converse to Fortins Lemma in Banach spacesReport as inadecuate

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1 CERMICS - Centre d-Enseignement et de Recherche en Mathématiques et Calcul Scientifique 2 Texas A&M University College Station

Abstract : We establish the converse of Fortin-s Lemma in Banach spaces. This result is useful to assert the existence of a Fortin operator once a discrete inf-sup condition has been proved. The proof uses a specific construction of a right-inverse of a surjective operator in Banach spaces. The key issue is the sharp determination of the stability constants.

Keywords : finite elements surjective operators inf-sup condition duality

Author: Alexandre Ern - Jean-Luc Guermond -

Source: https://hal.archives-ouvertes.fr/


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