| 多孔介质二相驱动问题压力方程Galerkin方法后处理的特征有限元方法及其收敛性分析 |
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| 引用本文： | 赵卫东.多孔介质二相驱动问题压力方程Galerkin方法后处理的特征有限元方法及其收敛性分析[J].山东大学学报(理学版),2000,35(1). |
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| 作者姓名： | 赵卫东 |
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| 作者单位： | 山东大学数学院,山东,济南,250100 |
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| 摘 要： | 对多孔介质中二相驱动问题提出了一种新的数值解法 ,即用常规有限元方法求解压力方程 ,经后处理后 ,再用特征有限元方法解浓度方程 .该法不仅避免了用混合元法求解压力方程带来的困难 ,而且保持了特征有限元方法的优点 ,得到用标准有限元方法求解压力方程著不能得到的最优误差估计
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| 关 键 词： | 二相驱动 有限元 特征 后处理 |
CHARACTERISTIC METHOD FOR TWO PHASE DISPLACEMENT IN POROUS MEDIA AND ITS CONVERGENCE ANALYSIS BASING ON THE POSTPROGRESSING OF FINITE ELEMENT METHOD FOR PRESSURE |
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| ZHAO Wei-dong.CHARACTERISTIC METHOD FOR TWO PHASE DISPLACEMENT IN POROUS MEDIA AND ITS CONVERGENCE ANALYSIS BASING ON THE POSTPROGRESSING OF FINITE ELEMENT METHOD FOR PRESSURE[J].Journal of Shandong University,2000,35(1). |
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| Authors: | ZHAO Wei-dong |
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| Abstract: | A new modified characteristic finite element method to solve incompressible two phase displacement in porous media is proposed.In this method,standard finite element method defined on good domain partition is used to solve pressure,and after postprocessing,the concentration is solved by using a modified characteristic method.The merits of characteristic finite element methods are preserved and the optimal error estimates,which cold not be got by using standard finite element method,are obtained for the scheme. At the same time,piecewise finite element space can be used in this method. |
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| Keywords: | two phase displacement finite element characteristics postprocessing |
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