Abstract : A new mixed finite element method on three-dimensional hexahedral meshes for second order elliptic problems is proposed. This finite element is a composite element. It is shown to have optimal convergence properties, and it is applied to a hydrogeology problem.
Amel Sboui, Jérôme Jaffré, Jean Roberts. A Composite Mixed Finite Element for Hexahedral Grids. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2009, 31, 4, pp.2623-2645. ⟨10.1137/070703703⟩. ⟨hal-00945012⟩