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无界区域上基于自然边界归化的一种区域分解算法
引用本文:余德浩.无界区域上基于自然边界归化的一种区域分解算法[J].计算数学,1994,16(4):448-459.
作者姓名:余德浩
作者单位:中国科学院计算中心
摘    要:无界区域上基于自然边界归化的一种区域分解算法余德浩(中国科学院计算中心)ADOMAINDECOMPOSITIONMETHODBASEDONTHENATURALBOUNDARYREDUCTIONOVERUNBOUNDEDDOMAIN¥YuDe-hao(...

关 键 词:边界归化  区域分解法  椭圆边值问题

A DOMAIN DECOMPOSITION METHOD BASED ON THE NATURAL BOUNDARY REDUCTION OVER UNBOUNDED DOMAIN
Institution:Yu De-hao (Computing Canter, Academia Sinica)
Abstract:In this paper a new domain decomposition method is suggested and its convergence is proved. This method is based on the natural boundary reduction and suitable for solving some elliptic boundary value problems over unbounded domain.The finite element method and the natural boundary reduction are alternatively applied to a bounded subdomain and a typical unbounded subdomain. It has overcame the difficulty met in standard domain decomposition method and has many advantages. Moreover, especially for the exterior circular domain, an estimate for contraction factor is given.
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