一类六参数非协调任意凸四边形单元  

A CLASS OF SIX-PARAMETER NONCONFORMING ARBITRARY QUADRILATERAL ELEMENTS

作　　者：石东洋[1] 陈绍春[1] 

机构地区：[1]郑州市郑州大学系统科学与数学系

出　　处：《高校应用数学学报（A辑）》1996年第2期231-238,共8页Applied Mathematics A Journal of Chinese Universities(Ser.A)

摘　　要：本文构造了一类六参数非协调四边形单元,证明由此产生的有限元对任意四边形网格通过Irons分片检查,其收敛效果同Wilson元相当且形状函数的选择不依赖于单元本身。类Wilson元及改进的Wilson任意四边形单元是其中的特例。In this paper, a class of six-parameter nonconforming arbitrary quadrilateral elementsis presented. We prove that these elements pass through Irons' patch test for arbitraryquadrilateral meshes. The convergence behavior is similar to that of Wilson element andthe choice of shape functions is independent of the geometrical parameters of these ele-ments. The Wilson-liKe nonconforming elements as well as the improved Wilson arbitraryquadrilateral elements are special ones of our elements.

关 键 词：四边形单元 WILSON元 非协调元 有限元 

分 类 号：O242.21[理学—计算数学]