| 可压缩可混溶驱动问题的共轭梯度迭代法的误差估计 |
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| 引用本文： | 马克颖.可压缩可混溶驱动问题的共轭梯度迭代法的误差估计[J].山东大学学报(理学版),2004,39(5):20-27. |
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| 作者姓名： | 马克颖 |
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| 作者单位： | 山东大学,数学与系统科学学院,山东,济南,250100 |
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| 基金项目： | 国家自然科学基金 ( 10 2 710 66，19972 0 3 9) |
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| 摘 要： | 有界区域上多孔介质中可压缩可混溶驱动问题由两个非线性抛物型方程藕合而成；压力方程和饱和度方程均是抛物型方程,对压力方程采用标准有限元方法，对饱和度方程用特征一有限元方法．对这两个方法离散后所得到的代数方程组，利用共轭梯度迭代法求解．通过详细的理论分析，给出了共轭梯度迭代解与原问题真解的最优阶H^1模误差估计．
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| 关 键 词： | 可压缩可混溶驱动问题 共轭梯度迭代法 误差估计 |
| 文章编号： | 1671-9352(2004)05-0020-08 |
| 修稿时间： | 2003年8月27日 |
Error estimate of conjugate gradient iteration method for a model for miscible compressible displacement |
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| MA Ke-ying.Error estimate of conjugate gradient iteration method for a model for miscible compressible displacement[J].Journal of Shandong University,2004,39(5):20-27. |
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| Authors: | MA Ke-ying |
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| Abstract: | Miscible compressible displacement in a porous media was modelled by a nonlinear coupled system of two parabolic equations: the pressure equation and the concentration equation. The pressure was approximated by a standard Galerkin method while the concentration by a combination of a Galerkin method and the method of characteristics. A conjugate gradient iterative procedure was used to solve the algebraic problems arising from those two approximate schemes. By detailed theoretical analyses, optimal order H 1-error estimates are obtained between the exact solution of original problem and the solution of conjugate gradient iterative procedure. |
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| Keywords: | miscible compressible displacement conjugate gradient iterative procedure error estimates |
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