On angle conditions in the finite element method

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SYSNO ASEP	0364798
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	On angle conditions in the finite element method
Author(s)	Brandts, J. (NL) Hannukainen, A. (FI) Korotov, S. (ES) Křížek, Michal (MU-W)_{RID, SAI, ORCID}
Source Title	Sociedad Espaňola de Matemática Aplicada - ISSN 1575-9822 Roč. 56, - (2011), s. 81-95
Number of pages	15 s.
Language	eng - English
Country	ES - Spain
Keywords	simplicial finite elements ; minimum and maximum angle condition ; ball conditions
Subject RIV	BA - General Mathematics
R&D Projects	IAA100190803 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10190503 - MU-W (2005-2011)
Annotation	Angle conditions play an important role in the analysis of the finite element method. They enable us to derive the optimal interpolation order and prove convergence of this method, to derive various a posteriori error estimates, to perform regular mesh refinements, etc. In 1968, Miloš Zlámal introduced the minimum angle condition for triangular elements. From that time onward many other useful geometric angle conditions on the shape of elements appeared. In this paper, we shall give a survey of various generalizations of the minimum and also maximum angle condition in the finite element method and present some of their applications.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2012

Number of the records: 1