Hierarchic higher-order hermite elements on hybrid triangular/quadrilateral meshes

Authors:
Pavel Šolín;Karel Segeth
Affiliations:
Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Dolejškova 5, 18200 Praha 8, Czech Republic and Department of Mathematical Sciences, The University of Texas at El Pas ...;Mathematical Institute, Academy of Sciences of the Czech Republic, Prague, Czech Republic and Technical University of Liberec, Czech Republic
Venue:
Mathematics and Computers in Simulation
Year:
2007

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Abstract

In this paper we propose a new family of hierarchic higher-order Hermite elements on hybrid triangular/quadrilateral meshes. Optimal higher-order interior modes are calculated using an appropriate generalized eigenvalue problem. New nonaffine reference mappings preserving the continuity of derivatives at grid vertices are developed.