A new family of mixed finite elements in \({\mathbb{R}}^ 3\). (English) Zbl 0625.65107

The objective of this paper is to present two families of mixed finite elements in three dimensions. Both families are conforming, the first one in H(div) and the second in H(curl), and both are split in three, corresponding to the case of tetrahedrons, cubes and prisms. The author describes these elements, proves the unisolvance and estimates the interpolation error. Finally these elements are used to approximate the Stokes’ system.
Reviewer: C.-I.Gheorghiu


65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
76D07 Stokes and related (Oseen, etc.) flows
35J25 Boundary value problems for second-order elliptic equations
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