A discrete maximum principle for nonlinear elliptic systems with interface conditions

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A discrete maximum principle is proved for some nonlinear elliptic systems. A recent result is extended to problems with interface conditions. The discrete maximum principle holds on meshes with suitably small mesh size and under proper acuteness type conditions. In particular, this implies the discrete nonnegativity property under nonnegative data. As an example, reaction-diffusion systems in chemistry are considered, using meshes with the above properties; one can derive that the numerically computed concentrations are nonnegative as required.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages580-587
Number of pages8
Volume5910 LNCS
DOIs
Publication statusPublished - 2010
Event7th International Conference on Large-Scale Scientific Computations, LSSC 2009 - Sozopol, Bulgaria
Duration: Jun 4 2009Jun 8 2009

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5910 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other7th International Conference on Large-Scale Scientific Computations, LSSC 2009
CountryBulgaria
CitySozopol
Period6/4/096/8/09

Fingerprint

Discrete Maximum Principle
Nonlinear Elliptic Systems
Interface Conditions
Maximum principle
Mesh
Non-negative
Nonnegativity
Reaction-diffusion System
Chemistry
Imply

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Karátson, J. (2010). A discrete maximum principle for nonlinear elliptic systems with interface conditions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5910 LNCS, pp. 580-587). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5910 LNCS). https://doi.org/10.1007/978-3-642-12535-5_69

A discrete maximum principle for nonlinear elliptic systems with interface conditions. / Karátson, J.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5910 LNCS 2010. p. 580-587 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5910 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Karátson, J 2010, A discrete maximum principle for nonlinear elliptic systems with interface conditions. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 5910 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5910 LNCS, pp. 580-587, 7th International Conference on Large-Scale Scientific Computations, LSSC 2009, Sozopol, Bulgaria, 6/4/09. https://doi.org/10.1007/978-3-642-12535-5_69
Karátson J. A discrete maximum principle for nonlinear elliptic systems with interface conditions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5910 LNCS. 2010. p. 580-587. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-642-12535-5_69
Karátson, J. / A discrete maximum principle for nonlinear elliptic systems with interface conditions. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5910 LNCS 2010. pp. 580-587 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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