| 三维对流扩散问题沿特征线多步离散Galerkin法及交替方向预处理迭代解 |
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| 引用本文： | 陈蔚.三维对流扩散问题沿特征线多步离散Galerkin法及交替方向预处理迭代解[J].山东大学学报(理学版),2000,35(2):2. |
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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,山东,济南,250100 |
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| 基金项目： | 国家教委博士点基金资助项目!( 960 4 2 2 0 2 ) |
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| 摘 要： | 对三维依赖时间对流扩散问题构造了沿特征方向多步离散Galerkin格式 ,并用交替方向预处理迭代法解沿特征线多步离散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： | 特征线法 Galerkin法 多步法 交替方向 预处理迭代法 |
| 修稿时间： | 1998-05-06 |
A.D.P.I.APPROXIMATION OF MULTISTEP GALERKIN METHODS ALONG CHARACTERISTICS FOR 3-D CONVECTION-DOMINATED DIFFUSION PROBLEM |
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| CHEN Wei.A.D.P.I.APPROXIMATION OF MULTISTEP GALERKIN METHODS ALONG CHARACTERISTICS FOR 3-D CONVECTION-DOMINATED DIFFUSION PROBLEM[J].Journal of Shandong University,2000,35(2):2. |
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| Authors: | CHEN Wei |
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| Abstract: | Efficient high order backward differentiation multistep time stepping Galerkin methods along characteristics for convection dominated diffusion problems are presented and analysised.An alternating direction preconditioned iterative metho d is used for approximately solving the linear equations arising at each timeste p in multistep Galerkin methods.Optimal order L 2 error estimates are obtai ned for the iterative method.Quasioptimal work estimates are obtained. |
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| Keywords: | characteristics Galerkin methods multis tep alternating direction preconditioned iteration |
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