Convergence and stability of the Lax-Friedrichs scheme for a nonlinear parabolic polymer flooding problem
type: Item
instance of: scholarly article
title: Convergence and stability of the Lax-Friedrichs scheme for a nonlinear parabolic polymer flooding problem
zbMATH Open document ID: 0708.65085
DOI: 10.1016/0196-8858(90)90010-V
author: Aslak Tveito
published in: Advances in Applied Mathematics
publication date: 1990-01-01T00:00:00Z
review text: The author investigates the numerical solution of a nonlinear parabolic systems of partial differential equations which models a polymer flooding process in enhanced oil recovery. He defines a finite difference approximation of this model (Lax-Friedrichs-scheme), proves the convergence of this scheme to a unique classical solution of the continuous model under some considerations, and he proves the stability of the approximate solutions with respect to perturbations in the initial data and in the fractional flow function.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 82D60
zbMATH DE Number: 4164073
zbMATH Keywords: finite difference method
zbMATH Keywords: nonlinear parabolic systems
zbMATH Keywords: polymer flooding process
zbMATH Keywords: oil recovery
zbMATH Keywords: Lax-Friedrichs-scheme
zbMATH Keywords: convergence
zbMATH Keywords: stability
zbMATH Keywords: fractional flow function
reviewed by: Michael Jung
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4164073