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.
https://hal.archives-ouvertes.fr/hal-01273901
Contributor : Alexandre Ern
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Submitted on : Wednesday, June 22, 2016 - 12:45:02 PM
Last modification on : Friday, January 19, 2018 - 1:16:39 AM
Document(s) archivé(s) le : Friday, September 23, 2016 - 1:40:18 PM
