摘要
本文讨论Maxwell方程的三种混合元方法(ECHL元,MECHL元,Nedelec’s元)在一般(非均匀)矩形网格上的超收敛性。研究结果表明,MEXHL元和Nedelec’s元在非均匀网格上具有超收敛性,而ECHL元只在均匀网格上才有超收敛。此外,本文还证明ECHL元在非均匀矩形网格上也有O(h)的收敛阶,这是以前一直没有解决的问题。在本文中采用正是我们小组惯用的积分恒等式工具,问题的解决也表明了这一工具的通用性。
In this paper,the superconvergence of three mixed methods (ECHL,MECHL,Nedelec's)for Maxwell's equations are discused on the nonuniform rectangular meshes.It is proved that there is superconvergence on the nonuniform rectangular meshes for MECHL element and Nedelec's element.But for ECHL element,there is superconv.ergence only on the uniform recangular meshes.And the convergence of O(h)for ECHL element on the nonuniform meshes is proved which has been a open problem.
出处
《工程数学学报》
CSCD
1996年第A12期1-10,66,共11页
Chinese Journal of Engineering Mathematics