| 三维非线性对流扩散问题多步Galerkin法及交替方向预处理迭代解 |
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| 引用本文： | 陈蔚.三维非线性对流扩散问题多步Galerkin法及交替方向预处理迭代解[J].山东大学学报(理学版),1999,34(3):2-1. |
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| 作者姓名： | 陈蔚 |
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| 作者单位： | 山东大学经济学院 |
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| 摘 要： | 对三维非线性对流扩散问题构造了一种向后差分多步离散 Ｇａｌｅｒｋｉｎ 格式，并用交替方向预处理迭代法解多步 Ｇａｌｅｒｋｉｎ 法在每一时间步所产生的代数方程组给出了迭代解的最优 Ｌ２ —模误差估计以及此方法的几乎是最优的工作量估计
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| 关 键 词： | Galerkin法 多步法 交替方向 预处理迭代法 |
| 修稿时间： | :1998-01-0 |
ALTERNATING DIRECTION PRECONDITIONED ITERATION FOR MULTISTEP GALERKIN METHODS FOR A 3 D NONLINEAR CONVECTION DIFFUSION PROBLEM |
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| Chen Wei.ALTERNATING DIRECTION PRECONDITIONED ITERATION FOR MULTISTEP GALERKIN METHODS FOR A 3 D NONLINEAR CONVECTION DIFFUSION PROBLEM[J].Journal of Shandong University,1999,34(3):2-1. |
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| Authors: | Chen Wei |
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| Abstract: | Efficient multistep procedures for time stepping Galerkin methods for a 3 D nonlinear convection diffusion problem are presented.The procedures involve using an alternating direction preconditioned iterative methods for approximately solving the linear equations arising at each timestep in a multistep discrete Galerkin methods.Optimal order L 2-error estimates are obtained for the iterative methods.Quasi optimal work estimates are obtained. |
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| Keywords: | Galerkin methods multistep alternating direction preconditioned iteration |
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