| 求解三维泊松方程的新瀑布型代数二重网格法 |
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| 引用本文： | 李明,王兴旺.求解三维泊松方程的新瀑布型代数二重网格法[J].蒙自师范高等专科学校学报,2010,8(2):31-33. |
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| 作者姓名： | 李明 王兴旺 |
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| 作者单位： | 红河学院数学学院;桂林电子科技大学数学与计算科学学院; |
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| 基金项目： | 红河学院硕博项目(XJ1SO925) |
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| 摘 要： | 文章针对三维泊松方程,讨论四面体有限元离散格式下的代数多重网格法.通过采用一种快速的粗化算法,提出了一种新的插值算子和迭代终止条件,设计了一种新的瀑布型代数二重网格法.数值实验表明这种新算法计算时间更短.
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| 关 键 词： | 泊松方程 瀑布型代数二重网格法 插值算子 |
A New Cascadic Algebraic two-grid Method for 3D Possion equation |
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| LI Ming ,WANG Xing-wang.A New Cascadic Algebraic two-grid Method for 3D Possion equation[J].Journal of Mengzi Teachers' College,2010,8(2):31-33. |
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| Authors: | LI Ming WANG Xing-wang |
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| Institution: | 1.Department of Mathematics/a>;Honghe University/a>;Mengzi 661100/a>;China/a>;2.College of Mathematics and Computing Science/a>;Guilin University of Electronics Technology/a>;Guilin 541004/a>;China |
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| Abstract: | In this paper,a algebraic multigrid method consider for 3D possion equation until tetrahedron finite element.A new interpolation algorithm is designed.A fleetly coarsening algorithm is used.Then A cascadic algebraic two level grid method is proposed by using the new interpolation algorithm and the coarsening algorithm.Numerical experiments are given to illustrate that the new method reduces the computing time. |
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| Keywords: | Possion equation cascadic algebraic two level grid method interpolation algorithm |
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