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

作     者：王琤 黄自萍 李立康 

作者机构：Department of MathematicsTongji University Chinese-German CollegeTongji University Department of MathematicsFudan University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2008年第29卷第4期

页      面：527-533页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 070102[理学-计算数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

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) 

主　　题：second order elliptic problems two-grid method partition of unity 

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.