Original title: Solution of 3D Singular Electrostatic Problems Using Adaptive hp-FEM
Translated title: Řešení 3D elektrostatických problémů se singulaturou s použitím adaptivní hp-FEM
Authors: Kůs, Pavel ; Šolín, Pavel ; Doležel, Ivo
Document type: Papers
Conference/Event: International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering 2007, Prague (CZ), 2007-09-13 / 2007-09-15
Year: 2007
Language: eng
Abstract: [eng] [cze]
For most numerical methods, accurate resolution of singularities occurring at sharp re-entrant corners or edges of electrically conductive objects is highly problematic. Finite differences are known for their inability to treat complex geometries, and traditional low-order (piecewise-linear or quadratic) finite element methods (FEM) exhibit extremely poor convergence. Nowadays, the best numerical method for the solution of most singular problems is the adaptive hp-version of the FEM (hp-FEM). This method is based on spatial refinements toward the singularities combined with optimal variation of polynomial degrees on the elements. The hp-FEM has mathematically proven exponential convergence, and also in practical computations typically it is by several orders of magnitudes faster than standard FEM. Článek je zaměřen na modelování 3D elektrostatických polí se singularitami hp-metodou konečných prvků s automatickou adap-tivitou. Metodika je ilustrována na příkladu Ficherova rohu.
Keywords: automatic adaptivity; electrostatic field; hp-FEM
Project no.: CEZ:AV0Z20570509 (CEP), GA102/05/0629 (CEP), GA102/07/0496 (CEP), IAA100760702 (CEP)
Funding provider: GA ČR, GA ČR, GA AV ČR
Host item entry: International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering 2007, ISBN 978-80-01-03784-3
Note: Související webová stránka: www.isef2007-prague.cz

Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0149883

Permalink: http://www.nusl.cz/ntk/nusl-37572


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Research > Institutes ASCR > Institute of Thermomechanics
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