摘要
详细讨论了二阶弱间断元、拟协调元和准协调元之间的关系,得到如下结果:定理1若S^k(G)为准协调元,则它一定是二阶弱间断元,反之不然.定理2若S^k(G)为二阶拟协调元,则它必为二阶弱间断元,反之不然.同时给出了二阶弱间断元的收敛条件.
In this paper, We discuss in detail the relations among the weakly discontinuous elements of order 2, quasi-conforming element and pre-conforming element and obtain:Theorem 1 If S^h (G) is a pre-conforming element, then it is also a weakly discontinuous element of order 2.Theorem 2 If S^h (G) is a quasi-conforming element of order 2 then it is also a weakly discontinuous element of order2.Further more, we give the convergent conditions of the weakly discoutinuous element.
关键词
弱间断元
拟协调元
准协调元
收剑性
有限元
Weakly discontinuous element
pre-conforming element
quasi-conforming elements
convergen
