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Discrete Maximum Principle for Poisson Equation with Mixed Boundary Conditions Solved by hp-FEM
- 1.0358615 - MÚ 2011 RIV CN eng J - Journal Article
Vejchodský, Tomáš - Šolín, Pavel
Discrete Maximum Principle for Poisson Equation with Mixed Boundary Conditions Solved by hp-FEM.
Advances in Applied Mathematics and Mechanics. Roč. 1, č. 2 (2009), s. 201-214. ISSN 2070-0733. E-ISSN 2075-1354
R&D Projects: GA AV ČR IAA100760702; GA ČR(CZ) GA102/07/0496; GA ČR GA102/05/0629
Institutional research plan: CEZ:AV0Z20570509
Keywords : discrete maximum principle * hp-FEM * poisson equation
Subject RIV: BA - General Mathematics
We present a proof of the discrete maximum principle (DMP) for the 1D Poisson equation -u ''=f equipped with mixed Dirichlet-Neumann boundary conditions. The problem is discretized using finite elements of arbitrary lengths and polynomial degrees (hp-FEM). We show that the DMP holds on all meshes with no limitations to the sizes and polynomial degrees of the elements.
Permanent Link: http://hdl.handle.net/11104/0196588
Number of the records: 1