Canonical numbering systems for finite-element codes

Canonical numbering systems are used to relate finite‐element vertices and elements to edges and faces in those elements. A numbering system is proposed that treats all the major topological element types used in practice. Also described is a set of functions that provide common evaluations of the c...

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Vydáno v:International journal for numerical methods in biomedical engineering Ročník 26; číslo 12; s. 1559 - 1572
Hlavní autor: Tautges, Timothy J.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Chichester, UK John Wiley & Sons, Ltd 01.12.2010
Wiley
Témata:
Applied sciences
Computer programs
Computer science; control theory; systems
Exact sciences and technology
finite element
Finite element method
FORTRAN
Freeware
Mathematical analysis
Mathematical models
Numerical analysis
scientific computing
Software
software component
Software engineering
Finite element method
Numbering
Scientific computation
scientific computing
finite element
FORTRAN
Software component
Topology
Commercial use
C language
Modeling
Open source software
ISSN:2040-7939, 2040-7947, 2040-7947
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Popis
Shrnutí:Canonical numbering systems are used to relate finite‐element vertices and elements to edges and faces in those elements. A numbering system is proposed that treats all the major topological element types used in practice. Also described is a set of functions that provide common evaluations of the canonical numbering data. Examples from various parts of the finite‐element analysis process are used to show the usefulness of these functions. The differences between various numbering systems used in commercial and research codes and our numbering system are described. The implementation of these functions is available as open‐source software and can be called directly from the C, C++, and Fortran languages. Published in 2009 by John Wiley & Sons, Ltd.
Bibliografie:This article is a U.S. Government work and is in the public domain in the U.S.A.
istex:4000B2DFCEE9DBA50CF4B4C855FBA0642C36D011
ArticleID:CNM1237
U.S. Department of Energy's Scientific Discovery - No. DE-AC02-06CH11357
ark:/67375/WNG-X7RLWQ37-3
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:2040-7939
2040-7947
2040-7947
DOI:10.1002/cnm.1237