On the density of finite element matrices

On the density of finite element matrices

Explicit formulae for the density of a class of finite element matrices are presented. The formulae are functions of the characteristics of the mesh and the element (piecewise polynomial) employed. Results are given for two‐dimensional triangular and quadrilateral elements and three‐dimensional tetr...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International journal for numerical methods in engineering 1972-11, Vol.5 (2), p.297-300
1. Verfasser: George, J. Alan
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 300
container_issue 2
container_start_page 297
container_title International journal for numerical methods in engineering
container_volume 5
creator George, J. Alan
description Explicit formulae for the density of a class of finite element matrices are presented. The formulae are functions of the characteristics of the mesh and the element (piecewise polynomial) employed. Results are given for two‐dimensional triangular and quadrilateral elements and three‐dimensional tetrahedral and cuboid elements. These results are useful in the management of storage in finite element computer programmes.
doi_str_mv 10.1002/nme.1620050215
format Article
fullrecord <record><control><sourceid>wiley_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1002_nme_1620050215</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>NME1620050215</sourcerecordid><originalsourceid>FETCH-LOGICAL-c2425-eb79c7dbed339c0e07faa27e626524bbe268b7b1329b42131be7059a440926093</originalsourceid><addsrcrecordid>eNqFz8FLwzAUx_EgCtbp1XOvHlpfXppmOcqYm1C3izLwEpL2FaNtJ01B999bqSiePL3L7_Pgy9glh5QD4HXXUspzBJCAXB6xiINWCSCoYxaNA51IPeen7CyEFwDOJYiIXW27eHimuKIu-OEQ7-u49p0fKKaGWuqGuLVD70sK5-yktk2gi-87Y4-3y4fFOim2q7vFTZGUmKFMyCldqspRJYQugUDV1qKiHHOJmXOE-dwpxwVqlyEX3JECqW2WgcYctJixdPpb9vsQeqrNW-9b2x8MB_MVasZQ8xs6Aj2Bd9_Q4Z-12dwv_9hksj4M9PFjbf9qciWUNLvNyuzUkywKlGYlPgGO_GQ_</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On the density of finite element matrices</title><source>Wiley Online Library Journals Frontfile Complete</source><creator>George, J. Alan</creator><creatorcontrib>George, J. Alan</creatorcontrib><description>Explicit formulae for the density of a class of finite element matrices are presented. The formulae are functions of the characteristics of the mesh and the element (piecewise polynomial) employed. Results are given for two‐dimensional triangular and quadrilateral elements and three‐dimensional tetrahedral and cuboid elements. These results are useful in the management of storage in finite element computer programmes.</description><identifier>ISSN: 0029-5981</identifier><identifier>EISSN: 1097-0207</identifier><identifier>DOI: 10.1002/nme.1620050215</identifier><language>eng</language><publisher>New York: John Wiley &amp; Sons, Ltd</publisher><ispartof>International journal for numerical methods in engineering, 1972-11, Vol.5 (2), p.297-300</ispartof><rights>Copyright © 1972 John Wiley &amp; Sons, Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2425-eb79c7dbed339c0e07faa27e626524bbe268b7b1329b42131be7059a440926093</citedby><cites>FETCH-LOGICAL-c2425-eb79c7dbed339c0e07faa27e626524bbe268b7b1329b42131be7059a440926093</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fnme.1620050215$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnme.1620050215$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>George, J. Alan</creatorcontrib><title>On the density of finite element matrices</title><title>International journal for numerical methods in engineering</title><addtitle>Int. J. Numer. Meth. Engng</addtitle><description>Explicit formulae for the density of a class of finite element matrices are presented. The formulae are functions of the characteristics of the mesh and the element (piecewise polynomial) employed. Results are given for two‐dimensional triangular and quadrilateral elements and three‐dimensional tetrahedral and cuboid elements. These results are useful in the management of storage in finite element computer programmes.</description><issn>0029-5981</issn><issn>1097-0207</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1972</creationdate><recordtype>article</recordtype><recordid>eNqFz8FLwzAUx_EgCtbp1XOvHlpfXppmOcqYm1C3izLwEpL2FaNtJ01B999bqSiePL3L7_Pgy9glh5QD4HXXUspzBJCAXB6xiINWCSCoYxaNA51IPeen7CyEFwDOJYiIXW27eHimuKIu-OEQ7-u49p0fKKaGWuqGuLVD70sK5-yktk2gi-87Y4-3y4fFOim2q7vFTZGUmKFMyCldqspRJYQugUDV1qKiHHOJmXOE-dwpxwVqlyEX3JECqW2WgcYctJixdPpb9vsQeqrNW-9b2x8MB_MVasZQ8xs6Aj2Bd9_Q4Z-12dwv_9hksj4M9PFjbf9qciWUNLvNyuzUkywKlGYlPgGO_GQ_</recordid><startdate>197211</startdate><enddate>197211</enddate><creator>George, J. Alan</creator><general>John Wiley &amp; Sons, Ltd</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>197211</creationdate><title>On the density of finite element matrices</title><author>George, J. Alan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2425-eb79c7dbed339c0e07faa27e626524bbe268b7b1329b42131be7059a440926093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1972</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>George, J. Alan</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><jtitle>International journal for numerical methods in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>George, J. Alan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the density of finite element matrices</atitle><jtitle>International journal for numerical methods in engineering</jtitle><addtitle>Int. J. Numer. Meth. Engng</addtitle><date>1972-11</date><risdate>1972</risdate><volume>5</volume><issue>2</issue><spage>297</spage><epage>300</epage><pages>297-300</pages><issn>0029-5981</issn><eissn>1097-0207</eissn><abstract>Explicit formulae for the density of a class of finite element matrices are presented. The formulae are functions of the characteristics of the mesh and the element (piecewise polynomial) employed. Results are given for two‐dimensional triangular and quadrilateral elements and three‐dimensional tetrahedral and cuboid elements. These results are useful in the management of storage in finite element computer programmes.</abstract><cop>New York</cop><pub>John Wiley &amp; Sons, Ltd</pub><doi>10.1002/nme.1620050215</doi><tpages>4</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0029-5981
ispartof International journal for numerical methods in engineering, 1972-11, Vol.5 (2), p.297-300
issn 0029-5981
1097-0207
language eng
recordid cdi_crossref_primary_10_1002_nme_1620050215
source Wiley Online Library Journals Frontfile Complete
title On the density of finite element matrices
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-09T03%3A08%3A49IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-wiley_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20density%20of%20finite%20element%20matrices&rft.jtitle=International%20journal%20for%20numerical%20methods%20in%20engineering&rft.au=George,%20J.%20Alan&rft.date=1972-11&rft.volume=5&rft.issue=2&rft.spage=297&rft.epage=300&rft.pages=297-300&rft.issn=0029-5981&rft.eissn=1097-0207&rft_id=info:doi/10.1002/nme.1620050215&rft_dat=%3Cwiley_cross%3ENME1620050215%3C/wiley_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true