A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems

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Abstract

We present a mimetic spectral element method for the solution of the stationary Darcy’s problem. We show that the divergence constraint is satisfied exactly for both heterogeneous, non-isotropic, and deformed mesh problems.

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Gervang, B., Olesen, K., & Gerritsma, M. (2017). A Mimetic Spectral Element Method for Non-Isotropic Diffusion Problems. In Lecture Notes in Computational Science and Engineering (Vol. 119, pp. 229–242). Springer Verlag. https://doi.org/10.1007/978-3-319-65870-4_15

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