On Modifications of Continuous and Discrete Maximum Principles for Reaction-Diffusion Problems
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@Article{AAMM-3-109,
author = {Faragό , IstvánKorotov , Sergey and Szabό , Tamás},
title = {On Modifications of Continuous and Discrete Maximum Principles for Reaction-Diffusion Problems},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2011},
volume = {3},
number = {1},
pages = {109--120},
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.
}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1027}, url = {http://global-sci.org/intro/article_detail/aamm/159.html} }
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.
István Faragό, Sergey Korotov & Tamás Szabό. (1970). On Modifications of Continuous and Discrete Maximum Principles for Reaction-Diffusion Problems.
Advances in Applied Mathematics and Mechanics. 3 (1).
109-120.
doi:10.4208/aamm.10-m1027
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