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

I. Faragó, János Karátson, Sergey Korotov

Research output: Contribution to journalArticle

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.

Original languageEnglish
JournalMathematics and Computers in Simulation
DOIs
Publication statusAccepted/In press - Jul 10 2013

Fingerprint

Diagonal Dominance
Parabolic PDEs
Mixed Boundary Conditions
Nonlinear Parabolic Equations
Nonnegativity
Finite Element Approximation
Monotonicity
Boundary conditions
Model

Keywords

  • Acute simplicial meshes
  • Discrete maximum principle
  • Finite element method
  • Nonlinear parabolic system

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)
  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

Cite this

Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. / Faragó, I.; Karátson, János; Korotov, Sergey.

In: Mathematics and Computers in Simulation, 10.07.2013.

Research output: Contribution to journalArticle

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