凹角域抛物问题的瀑布型多重网格法  

Cascadic Multigrid Method for Parabolic Problems in Domains with Re-entrant Corners

作　　者：胡合兴 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082

出　　处：《湖南大学学报（自然科学版）》2006年第5期126-128,共3页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(70271019)

摘　　要：针对凹角域上的抛物问题提出了瀑布型多重网格方法,获得了相应的收敛性结果.结果表明,在任一时间步上,瀑布型多重网格法的迭代解与离散解同阶,即为O(hl),同时,它的工作量是O(Nl).This paper proposed a cascadic multigrid （CMG） method for parabolic problems in domains with re-entrant corners, whose corresponding convergent results were obtained. The results show that the iterative solution of the CMG method has the same steps as the discrete solution at any time step, i.e. of O （hl）,and its number of arithmetic operations is of O（hl）.

关 键 词：有限元 瀑布型多重网格法 抛物问题 凹角域 

分 类 号：O241.84[理学—计算数学]