| 求解椭圆型问题的一种基于区域分解的预处理器 |
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| 引用本文： | 胡显承,储德林.求解椭圆型问题的一种基于区域分解的预处理器[J].清华大学学报(自然科学版),1991(6). |
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| 作者姓名： | 胡显承 储德林 |
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| 作者单位： | 应用数学系
(胡显承)，自动化系(储德林) |
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| 摘 要： | 讨论了椭圆型问题的预处理求解方法。基于区域分解，构造了一种预处理器。理论表明，预处理后系统的条件数不超过 Ｏ（１＋［Ｉｎ（Ｈ／ｈ）］２）；其中 Ｈ，ｈ分别为子域直径和剖分参数。在条件数方面，本文的结果优于 Ｉ．Ｈ．Ｂｒａｍｂｌｅ的结果。
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| 关 键 词： | 椭圆型问题 区域分解法 条件数 预处理器 |
A Preconditioner for Elliptic Problems Based on Domain Decomposition |
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| Hu Xiancheng.A Preconditioner for Elliptic Problems Based on Domain Decomposition[J].Journal of Tsinghua University(Science and Technology),1991(6). |
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| Authors: | Hu Xiancheng |
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| Institution: | Hu Xiancheng (Department of Applied Mathematics) Chu Delin (Department of Automation) |
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| Abstract: | In this paper, the elliptic problems are considered, based on domain decomposition, a preconditioner is presented, theoretical analysis seows that condition number of preconditioned system is proportional to O(1 + ln(H/h)]2, where H is the subdomain diameter and h is the mesh parameter. The result is superior to that given by J. H. Bramble et al in condition ntmber. |
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| Keywords: | elliptic problem domain decomposition condition number preconditioner |
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