Two-grid partition of unity method for second order elliptic problems  

作　　者：王琤 黄自萍 李立康 

机构地区：[1]Department of Mathematics,Tongji University [2]Chinese-German College,Tongji University [3]Department of Mathematics,Fudan University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第4期527-533,共7页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.40074031);the Science Foundation of the Science and Technology Commission of Shanghai Municipality;the Program for Young Excellent Talents in Tongji University(No.2007kj008)

摘　　要：A two-grid partition of unity method for second order elliptic problems is proposed and analyzed. The standard two-grid method is a local and parallel method usually leading to a discontinuous solution in the entire computational domain. Partition of unity method is employed to glue all the local solutions together to get the global continuous one, which is optimal in HI-norm. Furthermore, it is shown that the L^2 error can be improved by using the coarse grid correction. Numerical experiments are reported to support the theoretical results.A two-grid partition of unity method for second order elliptic problems is proposed and analyzed. The standard two-grid method is a local and parallel method usually leading to a discontinuous solution in the entire computational domain. Partition of unity method is employed to glue all the local solutions together to get the global continuous one, which is optimal in HI-norm. Furthermore, it is shown that the L^2 error can be improved by using the coarse grid correction. Numerical experiments are reported to support the theoretical results.

关 键 词：second order elliptic problems two-grid method partition of unity 

分 类 号：O246[理学—计算数学]