Summary
In this paper, a new mixed finite element method for the diffusion equation on polyhedral 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 polyhedral 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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Kuznetsov, Y.A. (2008). Mixed Finite Element Methods on Polyhedral Meshes for Diffusion Equations. In: Glowinski, R., Neittaanmäki, P. (eds) Partial Differential Equations. Computational Methods in Applied Sciences, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8758-5_2
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DOI: https://doi.org/10.1007/978-1-4020-8758-5_2
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Online ISBN: 978-1-4020-8758-5
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