Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions

István Faragó, Róbert Horváth, Sergey Korotov

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12 Citations (Scopus)

Abstract

In this article, we derive and discuss sufficient conditions for providing validity of the discrete maximum principle for nonstationary diffusion-reaction problems with mixed boundary conditions, solved by means of simplicial finite elements and the θ time discretization method. The theoretical analysis is supported by numerical experiments.

Original languageEnglish
Pages (from-to)702-720
Number of pages19
JournalNumerical Methods for Partial Differential Equations
Volume27
Issue number3
DOIs
Publication statusPublished - May 1 2011

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Keywords

  • angle condition
  • discrete maximum principle
  • linear finite elements
  • maximum principle; mixed boundary conditions
  • nonstationary diffusion-reaction problem
  • simplicial partition

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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