# Non-negative mixed finite element formulations for a tensorial diffusion equation

@article{Nakshatrala2009NonnegativeMF, title={Non-negative mixed finite element formulations for a tensorial diffusion equation}, author={K. B. Nakshatrala and Albert J. Valocchi}, journal={J. Comput. Physics}, year={2009}, volume={228}, pages={6726-6752} }

- Published 2009 in J. Comput. Physics
DOI:10.1016/j.jcp.2009.05.039

We consider the tensorial diffusion equation, and address the discrete maximum-minimum principle of mixed finite element formulations. In particular, we address non-negative solutions (which is a special case of the maximum-minimum principle) of mixed finite element formulations. It is well-known that the classical finite element formulations (like the single-field Galerkin formulation, and Raviart-Thomas, variational multiscale, and Galerkin/least-squares mixed formulations) do not produce non… CONTINUE READING

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