Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems

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We consider an upwinding covolume or control-volume method for a system of first order PDEs resulting from the mixed formulation of a convection-diffusion equation with a variable anisotropic diffusion tensor. The system can be used to model the steady state of the transport of a contaminant carried by a flow. We use the lowest order Raviart-Thomas space and show that the concentration and concentration flux both converge at one-half order provided that the exact flux is in H-1(Omega)(2) and the exact concentration is in H-1(Omega). Some numerical experiments illustrating the error behavior of the scheme are provided.
Publisher
SIAM PUBLICATIONS
Issue Date
1999-09
Language
English
Article Type
Article
Keywords

GENERALIZED STOKES PROBLEM; FACTORIZATION METHODS; ITERATIVE METHODS; ELLIPTIC PROBLEMS; BLOCK; PERFORMANCE; MATRICES

Citation

SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.21, no.1, pp.145 - 165

ISSN
1064-8275
URI
http://hdl.handle.net/10203/75547
Appears in Collection
MA-Journal Papers(저널논문)
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