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

J4 ›› 2011, Vol. 46 ›› Issue (2): 70-77.

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

罗平

山东大学数学学院, 山东济南 250100

收稿日期:2009-11-20 出版日期:2011-02-16 发布日期:2011-03-30
作者简介:罗平(1985- ),男,硕士研究生,研究方向为微分方程数值解. Email:lp2008@mail.sdu.edu.cn
基金资助:
山东省优秀中青年科学家科研奖励基金资助项目(2007BS01021)

Alternating direction preconditioned iteration for backward Euler-Galerkin methods for groundwater pollution problem in aggregated porous media

LUO Ping

School of Mathematics, Shandong University, Jinan 250100, Shandong, China

Received:2009-11-20 Online:2011-02-16 Published:2011-03-30

摘要/Abstract

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L²-模误差估计，并且关于时间是高精度的。

关键词: 特征线法;向后Euler-Galerkin格式；外推法；交替方向

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 L²-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.

Key words: characteristics; backward Euler-Galerkin method; extrapolation; alternating direction

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]. J4, 2011, 46(2): 70-77.

LUO Ping. Alternating direction preconditioned iteration for backward Euler-Galerkin methods for groundwater pollution problem in aggregated porous media[J]. J4, 2011, 46(2): 70-77.

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