旋转Q_1有限元的区域分解方法  

Domain Decomposition Method for Rotated Q1 Finite Element

作　　者：田蓓艺[1] 

机构地区：[1]南京晓庄学院数学系,江苏南京210017

出　　处：《南京晓庄学院学报》2007年第6期11-16,共6页Journal of Nanjing Xiaozhuang University

摘　　要：文章构造了一种用旋转Q1有限元离散椭圆型偏微分方程的区域分解方法.由于旋转Q1有限元空间不包含任何协调的有限元子空间,在离散过程中将区域分解成粗网格和局部的细网格,在不同的网格上进行求解,构造出预优问题.通过定义一些算子证明了预优问题的条件数是最优的.In this paper, a domain decomposition method is presented for the rotated Q1 finite element discretion of second order elliptic problem. Since there is no finite element subspace of rotated Q1 finite element space, the discrete space decomposes into a coarse space and local spaces in which the linear system is solved and the preconditioned problem constructed. The condition number of the preconditioned problem is proved to be optimal by some operators.

关 键 词：区域分解 旋转Q1有限元 预优问题 

分 类 号：O242.21[理学—计算数学]