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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Published in | International journal for numerical methods in biomedical engineering Vol. 26; no. 12; pp. 1559 - 1572 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Chichester, UK
John Wiley & Sons, Ltd
01.12.2010
Wiley |
Subjects | |
Online Access | Get full text |
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Summary: | 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. |
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Bibliography: | 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 |