Supercloseness on graded meshes for Q1 finite element approximation of a reaction–diffusion equation

In this paper we analyze the standard piece-wise bilinear finite element approximation of a model reaction–diffusion problem. We prove supercloseness results when appropriate graded meshes are used. The meshes are those introduced in Durán and Lombardi (2005) [8] but with a stronger restriction on t...

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Bibliographic Details

Published in:	Journal of computational and applied mathematics Vol. 242; pp. 232 - 247
Main Authors:	Durán, R.G., Lombardi, A.L., Prieto, M.I.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-04-2013
Subjects:	Finite elements Graded meshes Supercloseness Superconvergence Finite elements Graded meshes Superconvergence 65N30 Supercloseness
Online Access:	Get full text
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