| 双重介质中地下水污染模型沿特征线外推的向后Euler—Galerkin格式及交替方向预处理迭代解 |
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| 引用本文： | 罗平. 双重介质中地下水污染模型沿特征线外推的向后Euler—Galerkin格式及交替方向预处理迭代解[J]. 山东大学学报(自然科学版), 2011, 0(2): 70-77 |
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| 作者姓名： | 罗平 |
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| 作者单位： | 山东大学数学学院,山东济南250100 |
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| 基金项目： | 山东省优秀中青年科学家科研奖励基金资助项目（2007BS01021） |
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| 摘 要： | 对双重介质中地下水污染模型构造了沿特征线方向外推的向后Euler—Galerkin格式,并用交替方向预处理迭代法解沿特征线外推的向后Euler—Galerkin法在每一时间步所产生的代数方程组。在没有增加计算量和破坏精度的前提下得到了最优的L^2-模误差估计,并且关于时间是高精度的。
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| 关 键 词： | 特征线法 向后Euler—Galerkin格式 外推法 交替方向 |
Alternating direction preconditioned methods for groundwater pollution iteration for backward Euler-Galerkin problem in aggregated porous media |
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| LUO Ping. Alternating direction preconditioned methods for groundwater pollution iteration for backward Euler-Galerkin problem in aggregated porous media[J]. Journal of Shandong University(Natural Science Edition), 2011, 0(2): 70-77 |
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| Authors: | LUO Ping |
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| Affiliation: | LUO Ping (School of Mathematics, Shandong University, Jinan 250100, Shandong, China) |
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| Abstract: | A backward Euler-Galerkin method is applied for groundwater pollution problems in aggregated porous media, and an alternating direction preconditioned iterative method with extrapolated along characteristics is used to solve the approximately discrete equations. Optimal order L^2-error estimates are obtained under optimal estimate work and with no damage to the precision. Moreover, high order accuracy with respect to time is obtained. |
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| Keywords: | characteristics backward Euler-Galerkin method extrapolation alternating direction |
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