Superconvergence phenomena on three-dimensional meshes

Number of the records: 1

1.

SYSNO ASEP	0022245
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	Superconvergence phenomena on three-dimensional meshes
Title	Superkonvergenční jevy na trojrozměrných sítích
Author(s)	Křížek, Michal (MU-W)_{RID, SAI, ORCID}
Source Title	International Journal of Numerical Analysis and Modeling - ISSN 1705-5105 Roč. 2, č. 1 (2005), s. 43-56
Number of pages	14 s.
Language	eng - English
Country	CA - Canada
Keywords	linear and quadratic tetrahedral elements ; acute partitions ; Poisson equation
Subject RIV	BA - General Mathematics
R&D Projects	GA201/04/1503 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
Annotation	We give an overview of superconvergence phenomena in the finite element method for solving three-dimensional problems, in particular, for elliptic boundary value problems of second order over uniform meshes. Some difficulties with superconvergence on tetrahedral meshes are presented as well. For a given positive integer m we prove that three is no tetrahedralization of R3 whose all edges are m-valent.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2006

Number of the records: 1