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}
}
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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Convex Optimization

  • S Boyd, L Vandenberghe
  • Convex Optimization
  • 2004
Highly Influential
20 Excerpts

Elliptic Partial Differential Equations of Second Order

  • D Gilbarg, N S Trudinger
  • Elliptic Partial Differential Equations of Second…
  • 2001
Highly Influential
17 Excerpts

Linear and Nonlinear Programming

  • D G Luenberger, Y Ye
  • Linear and Nonlinear Programming
  • 2008

User's Manual

  • Tecplot
  • 2008

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