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.

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

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