A new sequence of hierarchic prismatic elements satisfying De Rham diagram on hybrid meshes

Pavel Šolı́n, Karel Segeth · Journal of Numerical Mathematics · 2005

This paper presents a new sequence of affine-equivalent H (curl)- and H (div)-conforming hierarchic prismatic finite elements of arbitrary polynomial degrees, satisfying De Rham diagram on hybrid tetrahedral-prismatic-hexahedral meshes. We also present suitable H (curl)- and H (div)-conforming reference maps that preserve the commutativity of the De Rham diagram.

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