CONVERGENCE AND STABILITY OF THE LAX-FRIEDRICHS SCHEME FOR A NONLINEAR PARABOLIC POLYMER FLOODING PROBLEM

被引：7

作者：

TVEITO, A

机构：

[1] Department of Informatics, University of Oslo, N-0316 Oslo 3

来源：

ADVANCES IN APPLIED MATHEMATICS | 1990年 / 11卷 / 02期

关键词：

D O I：

10.1016/0196-8858(90)90010-V

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove convergence and stability of the Lax-Friedrichs scheme for a nonlinear parabolic system of partial differential equations. The system models a polymer flooding process in enhanced oil recovery. The properties of the approximate solutions are used to obtain existence, uniqueness, and stability results for the solution of the system. We illustrate by a numerical example that the solution of the parabolic system converges towards the solution of the corresponding hyperbolic system as the dispersion coefficient tends to zero. © 1990.

引用

页码：220 / 246

页数：27

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