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

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dc.contributor.authorADETOLA, Jamal
dc.contributor.authorHOUEDANOU, KOFFI WILFRID
dc.contributor.authorAHOUNOU, Bernardin
dc.date.accessioned2026-06-02T16:06:57Z
dc.date.available2026-06-02T16:06:57Z
dc.date.issued2020
dc.description.abstractIn 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.
dc.identifier.otherBECDB-7877
dc.identifier.urihttps://dspace.uac.bj/handle/123456789/7073
dc.language.isofr
dc.relation.ispartofAustralian Journal of Mathematical Analysis and Applications.
dc.subjectMonge-Ampère equation
dc.subjectConforming finite element method
dc.subjectA posteriori error analysis.
dc.titleRESIDUAL-BASED A POSTERIORI ERROR ESTIMATES FOR A CONFORMING MIXED FINITE ELEMENT DISCRETIZATION OF THE MONGE-AMPÈRE EQUATION
dc.typeArticle

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