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Hexahedral H(div) and H(curl) finite elements

Richard S. Falk; Paolo Gatto; Peter Monk — 2011

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

We study the approximation properties of some finite element subspaces of H(div;Ω) and H(curl;Ω) defined on hexahedral meshes in three dimensions. This work extends results previously obtained for quadrilateral H(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 using...

Hexahedral (div) and (curl) finite elements

Richard S. Falk; Paolo Gatto; Peter Monk — 2011

ESAIM: Mathematical Modelling and Numerical Analysis

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 using the...

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