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On Modifications of Continuous and Discrete Maximum Principles for Reaction-Diffusion Problems

Published online by Cambridge University Press:  03 June 2015

István Faragó ,
Sergey Korotov  and
Tamás Szabó
István Faragó*
Affiliation:
Department of Applied Analysis and Computational Mathematics, Eötvös Loránd University, H-1117, Budapest, Pázmány P. s. 1/c, Hungary
Sergey Korotov*
Affiliation:
Department of Applied Analysis and Computational Mathematics, Eötvös Loránd University, H-1117, Budapest, Pázmány P. s. 1/c, Hungary BCAM - Basque Center for Applied Mathematics, Bizkaia Technology Park, Building 500, E-48160 Derio, Basque Country, Spain
Tamás Szabó*
Affiliation:
Department of Applied Analysis and Computational Mathematics, Eötvös Loránd University, H-1117, Budapest, Pázmány P. s. 1/c, Hungary
*
Email: faragois@cs.elte.hu
Corresponding author. Email: smkorotov@gmail.com, korotov@bcamath.org
Email: szabot@cs.elte.hu
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Abstract

In this work, we present and discuss some modifications, in the form of two-sided estimation (and also for arbitrary source functions instead of usual sign-conditions), of continuous and discrete maximum principles for the reactiondiffusion problems solved by the finite element and finite difference methods.

Keywords

35B5065N0665N3065N50Reaction-diffusion problemmaximum principlediscrete maximum principlemonotone matrixtwo-sided a priori estimationcode validification
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 1 , February 2011 , pp. 109 - 120
Copyright
Copyright © Global-Science Press 2011

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