Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling

István Faragó, János Karátson and Sergey Korotov

Mathematics and Computers in Simulation (MATCOM), 2017, vol. 139, issue C, 37-53

Abstract: Discrete nonnegativity principles are established for finite element approximations of nonlinear parabolic PDE systems with mixed boundary conditions. Previous results of the authors are extended such that diagonal dominance (or essentially monotonicity) of the nonlinear coupling can be relaxed, allowing to include much more general situations in suitable models.

Keywords: Nonlinear parabolic system; Discrete maximum principle; Finite element method; Acute simplicial meshes (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:139:y:2017:i:c:p:37-53

DOI: 10.1016/j.matcom.2016.03.015

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