Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures

Authors:
J. Karátson;S. Korotov
Affiliations:
Department of Applied Analysis, Eötvös Loránd University, Budapest, Hungary;Department of Mathematical Information Technology, University of Jyväskylä, Jyväskylä, Finland
Venue:
Journal of Computational and Applied Mathematics - Special issue on computational and mathematical methods in science and engineering (CMMSE-2004)
Year:
2006

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Abstract

The discrete maximum principles are proved for finite element solutions of some nonlinear elliptic problems with mixed boundary conditions. The effect of quadrature rules, used for the construction of the stiffness matrices, is taken into account.