Alternative integration formulae for triangular finite elements
作者:
C. T. Reddy,
D. J. Shippy,
期刊:
International Journal for Numerical Methods in Engineering
(WILEY Available online 1981)
卷期:
Volume 17,
issue 1
页码: 133-139
ISSN:0029-5981
年代: 1981
DOI:10.1002/nme.1620170111
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractSome new formulae are presented for numerical integration over triangular regions. These formulae, which are triangularly symmetric, involve four, six, and seven integration points, respectively. They were derived by determining co‐ordinates and weight factors for which polynomial functions of up to a certain degree are integrated exactly. The effectiveness of the formulae is demonstrated by applying them to the integration of five non‐polynomial functions, two of which are singular within the region of integration. Results obtained with the new formulae are compared with results obtained with other, comparable formulae. It is seen that the new formulae are more accurate than some existing ones with the same numbers of poi
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