Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems

J. Karátson, Sergey Korotov

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Discrete maximum principles are proved for finite element discretizations of nonlinear elliptic interface problems with jumps of the normal derivatives. The geometric conditions in the case of simplicial meshes are suitable acuteness or nonobtuseness properties.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalInternational Journal of Numerical Analysis and Modeling
Volume6
Issue number1
Publication statusPublished - 2009

Fingerprint

Discrete Maximum Principle
Interface Problems
Maximum principle
Finite Element Discretization
Elliptic Problems
Interfaces (computer)
Jump
Mesh
Derivatives
Finite element method
Derivative

Keywords

  • Discrete maximum principle
  • Finite element method
  • Interface problem
  • Maximum principle
  • Nonlinear elliptic problem
  • Simplicial mesh

ASJC Scopus subject areas

  • Numerical Analysis

Cite this

Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems. / Karátson, J.; Korotov, Sergey.

In: International Journal of Numerical Analysis and Modeling, Vol. 6, No. 1, 2009, p. 1-16.

Research output: Contribution to journalArticle

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