Year: 2011
Author: István Faragό, Sergey Korotov, Tamás Szabό
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1027
Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 1 : pp. 109–120
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Reaction-diffusion problem maximum principle discrete maximum principle monotone matrix two-sided a priori estimation code validification.
Author Details
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On continuous and discrete maximum principles for elliptic problems with the third boundary condition
Faragó, István
Korotov, Sergey
Szabó, Tamás
Applied Mathematics and Computation, Vol. 219 (2013), Iss. 13 P.7215
https://doi.org/10.1016/j.amc.2011.05.043 [Citations: 2]