Higher-Order Finite Element Modeling with Curvilinear Elements

0374911 - ÚT 2013 RIV PL eng C - Konferenční příspěvek (zahraniční konf.)
Karban, P. - Mach, F. - Doležel, Ivo
Higher-Order Finite Element Modeling with Curvilinear Elements.
Proceedings of XXXIV INTERNATIONAL CONFERENCE ON FUNDAMENTALS OF ELECTROTECHNICS AND CIRCUIT THEORY. Gliwice: Silesian University of Technology, 2011, s. 5-6. ISBN 978-83-85940-33-3.
[INTERNATIONAL CONFERENCE ON FUNDAMENTALS OF ELECTROTECHNICS AND CIRCUIT THEORY /34./. Ustroň (PL), 18.05.2011-21.05.2011]
Grant CEP: GA ČR(CZ) GAP102/11/0498
Výzkumný záměr: CEZ:AV0Z20570509
Klíčová slova: automatic adaptivity * higher-order finite element method * curvilinear elements
Kód oboru RIV: JA - Elektronika a optoelektronika, elektrotechnika

Application of curvilinear elements in finite element methods is presented and discussed. It is shown that introduction of such elements in domains with curvilinear boundaries leads to substantial reduction of the number of degrees of freedom of the task compared with classical triangular or quadrangular elements, while the accuracy of results is even better. Their usage is illustrated by a typical example solved by a higher-order finite element method implemented in own codes Hermes2D and Agros2D.
Trvalý link: http://hdl.handle.net/11104/0207713