Implicit, time-dependent variable grid finite difference methods for the approximation of a linear waterflood

An implicit, time-dependent variable grid finite difference method based on the addition of an artificial diffusivity is introduced and analyzed for approximating the solution of a scalar conservation law in a single space variable. No relation between the grids at successive time steps is required...

Full description

Saved in:
Bibliographic Details
Published in:Mathematics of computation 1983-01, Vol.40 (161), p.107-121
Main Authors: Douglas, Jim, Wheeler, Mary Fanett
Format: Article
Language:English
Subjects:
Approximation
Conservation of mass
Diffusion coefficient
Entropy
Finite difference methods
Mathematical constants
Mathematical functions
Mathematical procedures
Mathematical variables
Mathematics
Research article
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:An implicit, time-dependent variable grid finite difference method based on the addition of an artificial diffusivity is introduced and analyzed for approximating the solution of a scalar conservation law in a single space variable. No relation between the grids at successive time steps is required for convergence. Two adaptive grid selection procedures are shown to be covered by the analysis. Analogous results are also established for an implicit upwinding procedure.
ISSN:0025-5718
1088-6842
DOI:10.1090/S0025-5718-1983-0679436-8