非协调任意四边形单元的构造方法  

Construction Methods of Nonconforming Arbitrary Quadrilateral Elements

作　　者：石东洋[1] 杨晓忠[1] 李开泰[1] 

机构地区：[1]西安交通大学理学院

出　　处：《工程数学学报》1996年第4期1-6,共6页Chinese Journal of Engineering Mathematics

摘　　要：讨论了构造任意非协调四边形单元的一般方法，并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，收敛效果同Ｗｉｌｓｏｎ元相当。ＰＱ６元。In this paper, general methods to construct nonconforming arbitrary quadrilateral elements are discussed. We prove that the elements constructed by these methods pass through Irons patch test for arbitrary quadrilateral meshes. The convergence behavior is similar to Wilson elements. Some nonconforming elements are special ones of our elements.

关 键 词：收敛 非协调元 有限元 四边形单元 Wilosn元 

分 类 号：O242.21[理学—计算数学]