Mathematics and Statistics Faculty Publications

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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.

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SIAM Journal on Numerical Analysis