| 多孔介质中不可压缩流体的可混溶驱动问题的全离散有限元配置法 |
| |
| 引用本文： | 马宁.多孔介质中不可压缩流体的可混溶驱动问题的全离散有限元配置法[J].山东大学学报(理学版),2004,39(2):7-11. |
| |
| 作者姓名： | 马宁 |
| |
| 作者单位： | 山东大学,数学与系统科学学院,山东,济南,250100 |
| |
| 基金项目： | 教育部博士点基金资助项目 (19990 42 2 15 ) |
| |
| 摘 要： | 讨论在二维情况下，多孔介质中不可压缩流体的可混溶驱动问题，它是两个偏微分方程的耦合系统．压力方程是椭圆的，而饱和度方程是以对流为主的抛物型的．压力方程用标准的Galerkin方法来逼近，饱和度方程用配置法来逼近，并且证明了数值解的存在唯一性，最后得到了最优阶的误差估计．
|
| 关 键 词： | 不可压缩 配置法 误差估计 |
| 文章编号： | 1671-9352(2004)02-0007-05 |
A complete discrete finite element collocation method for incompressible miscible displacement in porous media |
| |
| MA Ning.A complete discrete finite element collocation method for incompressible miscible displacement in porous media[J].Journal of Shandong University,2004,39(2):7-11. |
| |
| Authors: | MA Ning |
| |
| Abstract: | Miscible displacement of one incompressible fluid by another in a porous medium is modeled by a coupled system of two partial differential equations in two dimensions.The pressure equation is elliptic,while the concentration equation is parabolic but normally covenction-dominated. A sequential backward-difference time-stepping scheme is defined: it approximates the pressure by a standard Galerkin procedure and the concentration by a collocation method. And the existence and uniqueness of it's solution are proved. Optimal order error estimate is demonstrated. |
| |
| Keywords: | incompressible collocation method error estimate |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
