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

Authors:
Sergey Korotov;Michal Křížek;Jakub Šolc
Affiliations:
Institute of Mathematics, Helsinki University of Technology, Finland FI---02015;Institute of Mathematics, Academy of Sciences, Prague 1, Czech Republic CZ---115 67;Institute of Mathematics, Academy of Sciences, Prague 1, Czech Republic CZ---115 67
Venue:
Numerical Analysis and Its Applications
Year:
2009

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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.