Hexahedral (div) and (curl) finite elements
Richard S. Falk, Paolo Gatto, Peter Monk (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
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We study the approximation properties of some finite element subspaces of (div;Ω) and (;Ω) defined on hexahedral meshes in three dimensions. This work extends results previously obtained for quadrilateral (div;Ω) finite elements and for quadrilateral scalar finite element spaces. The finite element spaces we consider are constructed starting from a given finite dimensional space of vector fields on the reference cube, which is then transformed to a space of vector fields on a hexahedron...