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解单障碍问题的Lagrangian乘子非匹配网格区域分解法
引用本文:马昌凤. 解单障碍问题的Lagrangian乘子非匹配网格区域分解法[J]. 高校应用数学学报(A辑), 2006, 21(3): 349-356
作者姓名:马昌凤
作者单位:福建师范大学,数学与计算机科学学院,福建,福州,350007;桂林电子工业学院,计算科学与数学系,广西,桂林,541004
基金项目:广西自治区自然科学基金(0448075),中国博士后科学基金(2004036133)
摘    要:
针对二阶椭圆型单障碍问题提出了一类基于非匹配网格的Lagrang ian乘子非重叠型区域分解方法.并在适当条件下给出了该方法的收敛性分析和收敛速度估计.

关 键 词:单障碍问题  非重叠型区域分解  Lagrangian乘子  非匹配网格
文章编号:1000-4424(2006)03-0349-08
收稿时间:2006-02-17
修稿时间:2006-02-17

Domain decomposition method with Lagrangian multipliers and nonmatching grids for obstacle variational inequalities
MA Chang-feng. Domain decomposition method with Lagrangian multipliers and nonmatching grids for obstacle variational inequalities[J]. Applied Mathematics A Journal of Chinese Universities, 2006, 21(3): 349-356
Authors:MA Chang-feng
Affiliation:College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China Department of Computational Science and Mathematics, Guilin University of Electronic Technology, Guilin 541004, China
Abstract:
In this paper the numerical solution of obstacle variational inequality problems associated with second order elliptic operators is considered.A class of nonoverlapping domain decomposition method with Lagrangian multipliers and nonmatching grids is proposed.Convergence theorem and convergence rate of the method are established.
Keywords:obstacle problem  non-overlapping domain decomposition  Lagrangian multiplier  nonmatching grid
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