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Discrete maximum principle for prismatic finite elements
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SYSNO ASEP 0358618 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Discrete maximum principle for prismatic finite elements Author(s) Vejchodský, Tomáš (MU-W) RID, SAI, ORCID Source Title ALGORITMY 2009 : 18th Conference on Scientific Computing. - Bratislava : Slovak University of Technology in Bratislava, 2009 / Handlovičová A. ; Frolkovič P. ; Mikula K. ; Ševčovič D. - ISBN 978-80-227-3032-7 Pages s. 266-275 Number of pages 10 s. Action ALGORITMY 2009 Event date 15.03.2009-20.03.2009 VEvent location Vysoké Tatry - Podbanské Country SK - Slovakia Event type EUR Language eng - English Country SK - Slovakia Keywords prismatic finite elements ; diffusion-reaction problem ; discrete maximum principle Subject RIV BA - General Mathematics R&D Projects GA102/07/0496 GA ČR - Czech Science Foundation (CSF) IAA100760702 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) UT WOS 000267157200028 Annotation The paper deals with a diffusion-reaction problem with homogeneous Dirichlet boundary conditions and presents conditions for the prismatic finite element meshes which guarantee the validity of the corresponding discrete maximum principle (DMP). These conditions are easy to verify and they imply a sufficient and a necessary bound to the maximal angle alpha((T))(max) in the triangular base T of a prism. The sufficient condition is alpha((T))(max) <= arctan root 7 and the necessary condition is alpha((T))(max) <= arctan root 8. If the maximal angle is in between these two values then the other angles in the triangle play a role. 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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