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

Authors

  • István Faragό Department of Applied Analysis and Computational Mathematics, Eötvös Loránd University, Pázmány P. sétány 1/C, H-1117 Budapest, Hungary
  • Sergey Korotov
  • Tamás Szabό

DOI:

https://doi.org/10.4208/aamm.10-m1027

Keywords:

Reaction-diffusion problem, maximum principle, discrete maximum principle, monotone matrix, two-sided a priori estimation, code validification.

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 reaction-diffusion problems solved by the finite element and finite difference methods.

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Published

2011-03-01

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Issue

Vol. 3 No. 1 (2011)

Section

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