摘要
这篇论文在各向异性的矩形的网孔的班上处理双线性的有限元素的高精确性分析。各向异性的网孔上的反的不平等被建立。超级结束和超级集中被获得因为第二订椭圆形的问题。数字测试被给，它与我们的理论分析与一致。
This paper deals with the high accuracy analysis of bilinear finite element on the class of anisotropic rectangular meshes. The inverse inequalities on anisotropic meshes are established. The superclose and the superconvergence are obtained for the second order elliptic problem. A numerical test is given, which coincides with our theoretical analysis.
基金
This research is supported by the National Natural Science Foundation of China(No.10371113) Foundation of Oversea Scholar of China(No.2001(119)) the Project of Creative Engineering of Henan Province of China 2002(219) NSF of Henan Province of China.
关键词
超收敛分析
各向异性
双线性有限元分析
精确性
bilinear finite element
superclose
superconvergence
anisotropic meshes
high accuracy
