摘要
利用分析ｓｐｅｃｈｔ元的技巧，构造了两种非协调任意凸四边形单元ＭＤ６１及ＭＤ６２，证明了由此产生的有限元对任意四边形网格通过Ｉｒｏｎｓ分片检查和广义分片检查，其形状函数不依赖于单元本身．理论精度同Ｗｉｌｓｏｎ元及类Ｗｉｌｓｏｎ元．数值计算的结果表明，ＭＤ６１元的整体效果好于Ｗｉｌｓｏｎ元及类Ｗｉｌｓｏｎ元；对不规则剖分，ＭＤ６２元也好于Ｗｉｌｓｏｎ元及类Ｗｉｌｓｏｎ元．
In this paper, two new nonconforming arbitrary quadrilateral elements MD61 and MD62 are constructed by using the analysis technique of specht element. It is proved that these elements pass through Irons patch test and the generalized patch test for arbitrary quadrilateral meshes. The convergence behavior is similar to Wilson elements and like Wilson elements. The choice of shape functions is independent of the elements geometrical parameters. The numerical results of these elemensts are better than that of Wilson elements and like Wilson elements as a whole.
出处
《工程数学学报》
CSCD
北大核心
1997年第3期50-56,共7页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金河南省自然科学基金
