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Discrete Maximum Principle for Poisson Equation with Mixed Boundary Conditions Solved by hp-FEM
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SYSNO ASEP 0358615 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Discrete Maximum Principle for Poisson Equation with Mixed Boundary Conditions Solved by hp-FEM Author(s) Vejchodský, Tomáš (MU-W) RID, SAI, ORCID
Šolín, Pavel (UT-L) RIDSource Title Advances in Applied Mathematics and Mechanics - ISSN 2070-0733
Roč. 1, č. 2 (2009), s. 201-214Number of pages 14 s. Language eng - English Country CN - China Keywords discrete maximum principle ; hp-FEM ; poisson equation Subject RIV BA - General Mathematics R&D Projects IAA100760702 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) GA102/07/0496 GA ČR - Czech Science Foundation (CSF) GA102/05/0629 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z20570509 - UE-C, UT-L (2005-2011) UT WOS 000286414200003 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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