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On Weakening Conditions for Discrete Maximum Principles for Linear Finite Element Schemes

  • Antti Hannukainen
  • Sergey Korotov
  • Tomáš Vejchodský
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5434)

Abstract

In this work we discuss weakening requirements on the set of sufficient conditions due to Ph. Ciarlet [4,5] for matrices associated to linear finite element schemes, which is commonly used for proving validity of discrete maximum principles (DMPs) for the second order elliptic problems.

Keywords

Dirichlet Boundary Condition Elliptic Problem Poisson Problem Basic Mesh Diagonal Dominance 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Antti Hannukainen
    • 1
  • Sergey Korotov
    • 1
  • Tomáš Vejchodský
    • 2
  1. 1.Institute of MathematicsHelsinki University of TechnologyEspooFinland
  2. 2.Institute of MathematicsCzech Academy of SciencesPrague 1Czech Republic

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