# Mixed Covolume Methods on Rectangular Grids For Elliptic Problems

@article{Chou2000MixedCM, title={Mixed Covolume Methods on Rectangular Grids For Elliptic Problems}, author={So-Hsiang Chou and Do Y. Kwak}, journal={SIAM J. Numerical Analysis}, year={2000}, volume={37}, pages={758-771} }

- Published 2000 in SIAM J. Numerical Analysis
DOI:10.1137/S0036142996305534

We consider a covolume method for a system of first order PDEs resulting from the mixed formulation of the variable-coefficient-matrix Poisson equation with the Neumann boundary condition. The system may be used to represent the Darcy law and the mass conservation law in anisotropic porous media flow. The velocity and pressure are approximated by the lowest order Raviart-Thomas space on rectangles. The method was introduced by Russell [Rigorous Blockcentered Discretizations onIrregular Gridsâ€¦Â CONTINUE READING

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