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...

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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
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Zusammenfassung: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.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.1620050215