On the discrete aximum principles for finite element solutions of nonlinear elliptic problem

János Karátson, Sergey Korotov

Research output: Contribution to conferencePaper

Abstract

In a previous paper [10] by the authors, discrete maximum principles are proved for the finite element approximations of nonlinear elliptic problems with mixed boundary conditions, using piecewise linear basis functions. The present work extends those results on a more general situation with a choice of the basis functions which includes piecewise linear basis functions as a particular case.

Original languageEnglish
Publication statusPublished - Dec 1 2004
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, Finland
Duration: Jul 24 2004Jul 28 2004

Other

OtherEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
CountryFinland
CityJyvaskyla
Period7/24/047/28/04

Keywords

  • Discrete maximum principle
  • Finite element method
  • Maximum principle
  • Mixed boundary condition
  • Nonlinear elliptic problem

ASJC Scopus subject areas

  • Artificial Intelligence
  • Applied Mathematics

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  • Cite this

    Karátson, J., & Korotov, S. (2004). On the discrete aximum principles for finite element solutions of nonlinear elliptic problem. Paper presented at European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, Finland.