A SET OF SYMMETRIC QUADRATURE RULES ON TRIANGLES AND TETRAHEDRA  

作　　者：Linbo Zhang Tao Cui Hui Liu 

机构地区：[1]LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

出　　处：《Journal of Computational Mathematics》2009年第1期89-96,共8页计算数学（英文）

基　　金：the 973 Program under the grant 2005CB321702;China NSF under the grants 10531080 and 60873177

摘　　要：We present a program for computing symmetric quadrature rules on triangles and tetrahedra. A set of rules are obtained by using this program. Quadrature rules up to order 21 on triangles and up to order 14 on tetrahedra have been obtained which are useful for use in finite element computations. All rules presented here have positive weights with points lying within the integration domain.We present a program for computing symmetric quadrature rules on triangles and tetrahedra. A set of rules are obtained by using this program. Quadrature rules up to order 21 on triangles and up to order 14 on tetrahedra have been obtained which are useful for use in finite element computations. All rules presented here have positive weights with points lying within the integration domain.

关 键 词：Finite element Numerical integration QUADRATURE CUBATURE TRIANGLE Tetrahedron. 

分 类 号：O18[理学—数学]