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On a Discrete Maximum Principle for Linear FE Solutions of Elliptic Problems with a Nondiagonal Coefficient Matrix

  • Sergey Korotov
  • Michal Křížek
  • Jakub Šolc
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5434)

Abstract

In this paper we give a sufficient condition for the validity of a discrete maximum principle (DMP) for a class of elliptic problems of the second order with a nondiagonal coefficient matrix, solved by means of linear finite elements (FEs). Numerical tests are presented.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Sergey Korotov
    • 1
  • Michal Křížek
    • 2
  • Jakub Šolc
    • 2
  1. 1.Institute of MathematicsHelsinki University of TechnologyFinland
  2. 2.Institute of MathematicsAcademy of SciencesPrague 1Czech Republic

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