Pyramidal elements are often used to connect tetrahedral and hexahedral elements in the finite element method.In this paper we derive three new higher order numerical cubature formulae for pyramidal elements.
基金This paper was supported by The National Natural Science Foundation of China(No.10771063)Key Laboratory ofHigh performance Computation and Stochastic Information Processing,Hunan Province and Ministry of Education,Institutional Research Plan No.AV0Z 10190503,Anhui Agricultural University(yj2012-03)Grant No.IAA 100190803 of the Academy of Sciences of the Czech Republic and The Natural Sciences and Engineering Research Council of Canada.The authors are indebted to Pavel Krızek and Kevin B.Davies for their help in preparation of Figs.1 and 2,and Jan Brandts for fruitful discussions.
文摘Pyramidal elements are often used to connect tetrahedral and hexahedral elements in the finite element method.In this paper we derive three new higher order numerical cubature formulae for pyramidal elements.
