Abstract
In this paper, a set of computational bases is developed for Raviart–Thomas (RT) and Brezzi–Douglas–Marini (BDM) vector spaces in R3. There are two attractive computational features of the bases. The first is that the normal components of the basis functions satisfy a Lagrangian property with respect to the nodal points in the faces of the tetrahedrons in the triangulation. The second computationally attractive feature is a decomposition of the basis function into face functions and interior functions, permitting a significant reduction in the number of unknown coefficients in the approximating linear system arising in a finite element computation.
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