HIGH DEGREE EFFICIENT SYMMETRICAL GAUSSIAN QUADRATURE-RULES FOR THE TRIANGLE
HIGH DEGREE EFFICIENT SYMMETRICAL GAUSSIAN QUADRATURE-RULES FOR THE TRIANGLE
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DOI：
10.1002/nme.1620210612
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发表时间：
1985-01-01
影响因子：
2.9
通讯作者：
DUNAVANT, DA
中科院分区：
文献类型：
--
作者：
DUNAVANT, DA
基于有限元法的等参公式计算矩阵时需要高斯求积。本文对现有的三角形求积规则作了简要的评述，并讨论了确定三角形高次有效对称规则的方法。本文提出了12-20阶的新求积规则，并编制了一个简短的FORTRAN程序.
Gaussian quadrature is required for the computation of matrices based on the isoparametric formulztion of the finite element method. A brief review of existing quadrature rules for the triangle is given, and the method for the determination of high degree efficient symmetrical rules for the triangle is discussed. New quadrature rules of degree 12–20 are presented, and a short FORTRAN program is included.