Mixed finite element method for diffusion equations on polygonal meshes with mixed cells

@article{Kuznetsov2006MixedFE,
  title={Mixed finite element method for diffusion equations on polygonal meshes with mixed cells},
  author={Yuri A. Kuznetsov},
  journal={J. Num. Math.},
  year={2006},
  volume={14},
  pages={305-315}
}
In this paper, a new mixed finite element method for the diffusion equation on polygonal meshes is proposed. The method is applied to the diffusion equation on meshes with mixed cells when all the coefficients and the source function may have discontinuities inside polygonal mesh cells. The resulting discrete equations operate only with the degrees of freedom for normal fluxes on the boundaries of cells and one degree of freedom per cell for the solution function. 

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References

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Showing 1-7 of 7 references

Thomas , Mixed and hybrid methods

J.-M.
J . Numer . Math . • 2005

New mixed finite element method on polygonal and polyhedral meshes

Yu. Kuznetsov, S. Repin
Comp . Geosciences • 2004

The mimetic finite difference method on polygonal meshes for diffusion-type equations

Yu. Kuznetsov, K. Lipnikov, M. Shashkov
Mixed and Hybrid Finite Element Methods • 2004
View 1 Excerpt

New mixed finite element method on polygonal and polyhedral meshes. Russ

Yu. Kuznetsov, S. Repin
J. Numer. Anal. Math. Modelling • 2003
View 1 Excerpt

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