| MIXED METHODS FOR COMPRESSIBLE MISCIBLE DISPLACEMENT WITH THE EFFECT OF MOLECULAR DISPERSION |
| |
| 引用本文： | 李潜,周所向.MIXED METHODS FOR COMPRESSIBLE MISCIBLE DISPLACEMENT WITH THE EFFECT OF MOLECULAR DISPERSION[J].应用数学学报(英文版),1995,11(2):123-138. |
| |
| 作者姓名： | 李潜 周所向 |
| |
| 作者单位： | LI QIAN(Department of Mathematics，Shandong Normal University，Jinan 250014，China)CHOU SO-HSIANG(Department of Mathematics and Statistics，Bowling Green State University，Bowling Green，OH 43403，U.S.A.) |
| |
| 摘 要： | ＭＩＸＥＤＭＥＴＨＯＤＳＦＯＲＣＯＭＰＲＥＳＳＩＢＬＥＭＩＳＣＩＢＬＥＤＩＳＰＬＡＣＥＭＥＮＴＷＩＴＨＴＨＥＥＦＦＥＣＴＯＦＭＯＬＥＣＵＬＡＲＤＩＳＰＥＲＳＩＯＮＬＩＱＩＡＮ（李潜）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｄｏｎｇＮ...
|
| 收稿时间： | 11 December 1991 |
Mixed methods for compressible miscible displacement with the effect of molecular dispersion |
| |
| Qian Li,So-Hsiang Chou.Mixed methods for compressible miscible displacement with the effect of molecular dispersion[J].Acta Mathematicae Applicatae Sinica,1995,11(2):123-138. |
| |
| Authors: | Qian Li So-Hsiang Chou |
| |
| Institution: | (1) Department of Mathematics, Shandong Normal University, 250014 Jinan, China;(2) Department of Mathematics and Statistics, Bowling Green State University, 43403 Bowling Green, OH, USA |
| |
| Abstract: | We consider a nonlinear parabolic system describing compressible miscible displacement in a porous medium4]. Continuous time and discrete time Galerkin methods are introduced to approximate the solution, and optimal H1-error estimates are obtained. This paper improves upon previously derived estimates in two aspects. Firstly, error estimates are given with no restrictions on the diffusion tensor. That is, we have included the effects of molecular diffusion and dispersion. Secondly, the complete compressible case is considered in the error analysis. |
| |
| Keywords: | Mixed methods Raviart-Thomas spaces molecular dispersion |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
