| 二维抛物型问题的Strang型交替分段区域分裂格式 |
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| 引用本文： | 张守慧,梁栋.二维抛物型问题的Strang型交替分段区域分裂格式[J].计算物理,2018,35(4):413-428. |
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| 作者姓名： | 张守慧 梁栋 |
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| 作者单位： | 1. 济南大学数学科学学院, 济南 250022;2. 约克大学, 多伦多, 加拿大 M3J1P3 |
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| 基金项目： | Supported by the Doctoral Fund of Shandong(BS2013NJ016) and sponsored by SRF for ROCS, SEM |
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| 摘 要： | 给出求解二维抛物型方程的Strang型的交替分段区域分裂格式。交替分段思想可以将区域分为一些不重叠的子区域，Strang型算子分裂技巧通过将高维问题的求解分解为几个低维问题的求解来降低其求解的复杂度。方法是无条件稳定的，理论分析了截断误差。数值算例说明格式的有效性及时空的二阶精度.
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| 关 键 词： | Strang型 交替分段格式 区域分裂 抛物型问题 并行算法 |
| 收稿时间： | 2017-05-02 |
| 修稿时间： | 2017-08-16 |
A Strang-type Alternating Segment Domain Decomposition Method for Two-dimensional Parabolic Equations |
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| ZHANG Shouhui,LIANG Dong.A Strang-type Alternating Segment Domain Decomposition Method for Two-dimensional Parabolic Equations[J].Chinese Journal of Computational Physics,2018,35(4):413-428. |
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| Authors: | ZHANG Shouhui LIANG Dong |
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| Institution: | 1. School of Mathematical Sciences, University of Jinan, Jinan 250022, China;2. Department of Mathematics and Statistics, York University, Toronto, ON, M3J1P3 Canada |
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| Abstract: | A Strang-type alternating segment domain decomposition method for 2-D parabolic problems is proposed. The domain can be divided into non-overlapping multi-block sub-domains by the idea of alternating segments. Strang-type splitting technique reduces complexity of the solving of the high dimensional problems by a series of one-dimensional ones. The method is proved to be unconditionally stable and truncation error is analyzed. Numerical experiments show that convergence rates in time and space are both second order. |
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| Keywords: | Strang-type alternating segment scheme domain decomposition parabolic problem parallel algorithm |
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