TY - JOUR T1 - On Modifications of Continuous and Discrete Maximum Principles for Reaction-Diffusion Problems AU - Faragό , István AU - Korotov , Sergey AU - Szabό , Tamás JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 109 EP - 120 PY - 2011 DA - 2011/03 SN - 3 DO - http://doi.org/10.4208/aamm.10-m1027 UR - https://global-sci.org/intro/article_detail/aamm/159.html KW - Reaction-diffusion problem, maximum principle, discrete maximum principle, monotone matrix, two-sided a priori estimation, code validification. AB -

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.