Mortar型非协调四边形元多重网格方法(英文)  

Multigrid Methods for Mortar-Type Nonconforming Quadrilateral Element

作　　者：王锋[1] 徐为[2] 

机构地区：[1]南京师范大学数学与计算机科学学院,江苏南京210097 [2]解放军理工大学理学院,江苏南京211101

出　　处：《南京师大学报（自然科学版）》2008年第3期16-23,共8页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：the NSF of Jiangsu Province(BK2006215).

摘　　要：讨论了Mortar型四边形元的多重网格方法.针对非嵌套的Mortar元空间,提出了一种网格转移算子,并证明了W循环和可变的V循环多重网格方法是最优的.数值实验验证了我们的理论结果.Muhigrid algorithms for mortar-type nonconforming quadrilateral element were discussed. An intergrid transfer operator were proposed for the nonested mortar element spaces. It was proved that the W-cycle and variable V-cycle multigrid methods were both optimal. And the numerical experiments confirmed our results.

关 键 词：多重网格方法 Mortar型有限元 非协调四边形元 

分 类 号：O242.2[理学—计算数学]