Original title: Three ways of interpolation on finite elements
Translated title: Tři způsoby interpolace na konečných prvcích
Authors: Šolín, Pavel ; Segeth, Karel
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics 12, Dolní Maxov (CZ), 2004-06-06 / 2004-06-11
Year: 2004
Language: eng
Abstract: [eng] [cze]
Interpolation on finite elements usually occurs in a Hilbert space setting, which means that interpolation techniques involving orthogonal projection are an alternative for the traditional Lagrange nodal interpolation schemes. In addition to the Lagrange interpolation, this paper discusses the global orthogonal projection and the projection-based interpolation. These techniques are compared from the point of view of quality, efficiency, sensitivity to input parameters and other aspects. Interpolace na konečných prvcích se většinou formuluje v Hilbertově prostoru, což znamená, že interpolační techniky založené na ortogonální projekci jsou alternativou pro tradiční Lagrangeova uzlové interpolační techniky. Navíc se zvažuje globální ortogonální projekce a interpolace založené na projekci. Tyto techniky jsou porovnány z hlediska kvality, efektivnosti, citlivosti na vstupní parametry atd.
Keywords: finite element method; language interpolation; orthogonal projection
Project no.: CEZ:AV0Z1019905 (CEP), GP102/01/D114 (CEP), GA201/04/1503 (CEP)
Funding provider: GA ČR, GA ČR
Host item entry: Programs and Algorithms of Numerical Mathematics 12

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0115200

Permalink: http://www.nusl.cz/ntk/nusl-32703


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