Mathematics and Statistics Faculty Publications
Document Type
Article
Abstract
We consider an upwinding covolume or control-volume method for a system of rst order PDEs resulting from the mixed formulation of a convection-di usion equation with a variable anisotropic di usion tensor. The system can be used to model the steady state of the transport of a contaminant carried by a °ow. We use the lowest order Raviart{Thomas space and show that the concentration and concentration °ux both converge at one-half order provided that the exact °ux is in H1()2 and the exact concentration is in H1(). Some numerical experiments illustrating the error behavior of the scheme are provided.
Copyright Statement
Publisher PDF
Repository Citation
Chou, So-Hsiang; Kwak, Do Y.; and Vassilevski, Panayot S., "Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-diffusion Problems" (1999). Mathematics and Statistics Faculty Publications. 5.
https://scholarworks.bgsu.edu/math_stat_pub/5
Publication Date
1999
Publication Title
SIAM Journal on Numerical Analysis
Publisher
Society for Industrial and Applied Mathematics
DOI
https://doi.org/10.1137/S1064827597321052
Volume
21
Issue
1
Start Page No.
145
End Page No.
165