RESIDUAL-BASED A POSTERIORI ERROR ESTIMATES FOR A CONFORMING MIXED FINITE ELEMENT DISCRETIZATION OF THE MONGE-AMPÈRE EQUATION

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AuteurADETOLA, JAMAL
AuteurHOUEDANOU, KOFFI WILFRID
AuteurAHOUNOU, BERNARDIN
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2020
ResumeIn this paper we develop a new a posteriori error analysis for the Monge-Ampère equation approximated by conforming finite element method on isotropic meshes in R 2 . The approach utilizes a slight variant of the mixed discretization proposed by Gérard Awanou and Hengguang Li in [4]. The a posteriori error estimate is based on a suitable evaluation on the residual of the finite element solution. It is proven that the a posteriori error estimate provided in this paper is both reliable and efficient.
Autre identifiantBECDB-7877
URIhttps://dspace.uac.bj/handle/123456789/7073
Languefr
Fait partie deAustralian Journal of Mathematical Analysis and Applications.
SujetMonge-Ampère equation
SujetConforming finite element method
SujetA Posteriori Error Analysis
TitreRESIDUAL-BASED A POSTERIORI ERROR ESTIMATES FOR A CONFORMING MIXED FINITE ELEMENT DISCRETIZATION OF THE MONGE-AMPÈRE EQUATION
TypeArticle

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