| 三维泊松方程数值模拟的多重网格方法 |
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| 引用本文： | 鲁晶津,吴小平,Klaus Spitzer.三维泊松方程数值模拟的多重网格方法[J].地球物理学进展,2009,24(1):154-158. |
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| 作者姓名： | 鲁晶津 吴小平 Klaus Spitzer |
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| 作者单位： | 1. 中国科学技术大学地球和空间科学学院,合肥,230026
2. Institut fur Geophysik,TU Bergakademie Freiberg,Germany |
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| 基金项目： | 国家自然科学基金，教育部新世纪优秀人才支持计划 |
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| 摘 要： | 本文简要介绍了多重网格方法的基本思想和原理,然后应用多重网格(MG)方法求解三维泊松方程,网格尺度从17×17×17逐次增加至257×257×257,并与不完全Chelesky共轭梯度法(ICCG)、Gauss直接解法进行比较,结果表明,MG方法计算速度明显优于ICCG、Gauss方法,对于129×129×129网格的三维数值模拟费时43s,比ICCG法快7倍,而对于257×257×257超大型网格的三维数值模拟也仅需412s.
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| 关 键 词： | 多重网格方法 泊松方程 三维数值模拟 |
| 收稿时间： | 2008-5-10 |
| 修稿时间： | 2008-8-20 |
Multigrid method for 3D modeling of Poisson equation |
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| LU Jing-jin,WU Xiao-ping,Klaus Spitzer.Multigrid method for 3D modeling of Poisson equation[J].Progress in Geophysics,2009,24(1):154-158. |
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| Authors: | LU Jing-jin WU Xiao-ping Klaus Spitzer |
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| Institution: | (1.SchoolofEarthandSpaceScience,UniversityofScienceandTechnologyofChina,Hefei230026;2.InstitutfürGeophysik,TUBergakademieFreiberg,Germany) |
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| Abstract: | In this paper, we briefly introduce the basic idea and principle of multigrid (MG) method. Then 3D poisson equation is solved using Multigrid (MG) method, with grid scale increasing from 17×17×17 to 257×257×257. In comparison with incomplete Cholesky conjugate gradient (ICCG) method and Gauss direct method, the computed speed of MG is much faster than ICCG and Gauss method. MG method takes 43s for 3D modeling with a grid of 129×129×129, 7 times faster than ICCG method, and only takes 412s for 3D problem with a huge grid of 257×257×257. |
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| Keywords: | multigrid method poisson equation 3D modelling |
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