| 两相渗流驱动问题的特征线与有限元耦合解法及其误差估计 |
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| 引用本文： | 羊丹平. 两相渗流驱动问题的特征线与有限元耦合解法及其误差估计[J]. 山东大学学报(理学版), 1992, 0(2) |
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| 作者姓名： | 羊丹平 |
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| 作者单位： | 山东大学数学系 |
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| 摘 要： | 研究了一类两相渗流驱动问题的特征线与有限元耦合的数值解法.对于压力的椭圆型方程,采用高次Hermite有限元方法,以取得高精度的近似解;对于饱合度的一阶拟线性双曲型方程,采用特征线法求解.给出了近似解的误差估计.
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| 关 键 词： | 两相渗流 有限元方法 特征线 误差估计 |
COUPLING METHODS OF FINITE ELEMENT AND CHARACTERISTICS AND ITS ERROR ESTIMATES FOR A CLASS OF DISPLACEMENT PROBLEM OF TWO-PHASE FLOW IN POROUS MEDIA |
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| Yang Danping. COUPLING METHODS OF FINITE ELEMENT AND CHARACTERISTICS AND ITS ERROR ESTIMATES FOR A CLASS OF DISPLACEMENT PROBLEM OF TWO-PHASE FLOW IN POROUS MEDIA[J]. Journal of Shandong University, 1992, 0(2) |
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| Authors: | Yang Danping |
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| Abstract: | A coupling numerical method of finite element and characteristics fora class of displacement problem of two-phase flow in porous media isproposed and analysed,in which the elliptic equatiorn about pressure istreated by a Hermite finite element method of high degree so as to obtainan approximate solution of high accuracy and the first order quasilinearhyperbolic equation about saturatiorn is approximated by use of methodof characteristics.The error estimates of approximate solutions are der-ived. |
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| Keywords: | two-phase flow finite element method characteristics error estimate |
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