Summary
Two families of mixed finite elements, one based on simplices and the other on cubes, are introduced as alternatives to the usual Raviart-Thomas-Nedelec spaces. These spaces are analogues of those introduced by Brezzi, Douglas, and Marini in two space variables. Error estimates inL 2 andH −s are derived.
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Brezzi, F., Douglas, J., Durán, R. et al. Mixed finite elements for second order elliptic problems in three variables. Numer. Math. 51, 237–250 (1987). https://doi.org/10.1007/BF01396752
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DOI: https://doi.org/10.1007/BF01396752