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

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

Keywords:

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

10.4208/aamm.10-m1027

How to Cite

[1]
2011. On Modifications of Continuous and Discrete Maximum Principles for Reaction-Diffusion Problems. Advances in Applied Mathematics and Mechanics. 3, 1 (Mar. 2011), 109–120. DOI:https://doi.org/10.4208/aamm.10-m1027.