Unification of distance inequalities for linear variational problems - Sorbonne Université
Journal Articles Computational & Applied Mathematics Year : 2015

Unification of distance inequalities for linear variational problems

Abstract

In this work a unifying approach is presented that leads to bounds for the distance in natural norms between solutions belonging to different spaces, of well-posed linear variational problems with the same input data. This is done in a general hilbertian framework, and in this sense, well-known inequalities such as Céa 's or Babuška 's for coercive and non coercive problems are extended and/or refined, as mere by-products of this unified setting. More particularly such an approach gives rise to both an improvement and a generalization to the weakly coercive case, of second Strang's inequality for abstract coercive problems. Additionally several aspects specific to linear variational problems are the subject of a thorough analysis beforehand, which also allows for clarifications and further refinements about the concept of weak coercivity.
Fichier principal
Vignette du fichier
Cuminato_2014_Unification_of.pdf (429.76 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01218082 , version 1 (20-10-2015)

Identifiers

Cite

José Alberto Cuminato, Vitoriano Ruas. Unification of distance inequalities for linear variational problems. Computational & Applied Mathematics, 2015, 34 (3), pp.1009-1033. ⟨10.1007/s40314-014-0163-6⟩. ⟨hal-01218082⟩
138 View
189 Download

Altmetric

Share

More