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 - <p style="text-align: justify;">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.</p>