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Title: Discrete Green's function and maximum principles (English)
Author: Vejchodský, Tomáš
Author: Šolín, Pavel
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Prague, May 28-31, 2006
Issue: 2006
Pages: 247-252
Category: math
Summary: In this paper the discrete Green's function (DGF) is introduced and its fundamental properties are proven. Further it is indicated how to use these results to prove the discrete maximum principle for 1D Poisson equation discretized by the $hp$-FEM with pure Dirichlet or with mixed Dirichlet-Neumann boundary conditions and with piecewise constant coefficient. ()
Date available: 2015-09-08T11:30:15Z
Last updated: 2015-09-08
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