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

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 derivativ...

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Bibliographic Details
Published inMathematics and computers in simulation Vol. 76; no. 1; pp. 198 - 204
Main Authors Šolín, Pavel, Segeth, Karel
Format Journal Article
LanguageEnglish
Published Elsevier B.V 12.10.2007
Subjects
Hermite elements
Higher-order
hp-FEM
Hybrid meshes
65N50
Hybrid meshes
Higher-order
65N30
hp-FEM
Hermite elements
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Summary: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.
ISSN:0378-4754
1872-7166
DOI:10.1016/j.matcom.2007.01.017