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一类各向异性外问题的非重叠型区域分解算法
引用本文:朱薇,黄红英.一类各向异性外问题的非重叠型区域分解算法[J].计算数学,2004,26(2):225-236.
作者姓名:朱薇  黄红英
作者单位:南京师范大学数学与计算机科学学院,南京,210097
摘    要:In this paper, based on the natural integral operator on elliptic boundary, a nonoverlapping domain decomposition method is presented for a kind of anisotropic elliptic problem with constant coefficients in an exterior domain, and the convergence of the method is analyzed. The choice of the relaxition factor is discussed.Some numerical examples are given. Theoretical analysis as well as numerical examples show that our method is performance.

关 键 词:各向异性问题  椭圆人工边界  外问题  区域分解

THE NON-OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR A KIND OF ANISOTROPIC ELLIPTIC PROBLEM IN AN EXTERIOR DOMAIN
Zhu Wei Huang Horigying.THE NON-OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR A KIND OF ANISOTROPIC ELLIPTIC PROBLEM IN AN EXTERIOR DOMAIN[J].Mathematica Numerica Sinica,2004,26(2):225-236.
Authors:Zhu Wei Huang Horigying
Institution:Zhu Wei Huang Horigying (School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097)
Abstract:In this paper, based on the natural integral operator on elliptic boundary, a non-overlapping domain decomposition method is presented for a kind of anisotropic elliptic problem with constant coefficients in an exterior domain, and the convergence of the method is analyzed. The choice of the relaxition factor is discussed. Some numerical examples are given. Theoretical analysis as well as numerical examples show that our method is performance.
Keywords:anisotropic problem  elliptic artificial boundary  exterior problem  domain decompostion method
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