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

Authors:
Antti Hannukainen;Sergey Korotov;Tomáš Vejchodský
Affiliations:
Institute of Mathematics, Helsinki University of Technology, Espoo, Finland FIN---02015;Institute of Mathematics, Helsinki University of Technology, Espoo, Finland FIN---02015;Institute of Mathematics, Czech Academy of Sciences, Prague 1, Czech Republic
Venue:
Numerical Analysis and Its Applications
Year:
2009

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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.