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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.
Key Words: prismatic elements,; higher-order elements,; hierarchic elements,; hp-FEM,; hybrid meshes,; De Rham diagram
Published Online: 2005-12-01
Published in Print: 2005-12-01
Copyright 2005, Walter de Gruyter