Imposing orthogonality to hierarchic higher-order finite elements

0335929 - MÚ 2010 RIV NL eng J - Článek v odborném periodiku
Šolín, P. - Vejchodský, Tomáš - Zítka, M. - Ávila, F.
Imposing orthogonality to hierarchic higher-order finite elements.
Mathematics and Computers in Simulation. Roč. 76, 1-3 (2007), s. 211-217. ISSN 0378-4754. E-ISSN 1872-7166
Grant CEP: GA ČR GP201/04/P021
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: optimal shape functions * energetic inner product * Laplace equation * symmetric linear elliptic problems * numerical experiments * hp-finite element method
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.738, rok: 2007

We propose a new class of hierarchic higher-order finite elements suitable for the hp-finite element method discretization of symmetric linear elliptic problems. These elements use shape functions which are partially orthonormal on the reference domain under the energetic inner product induced by the elliptic problem. We present numerical experiments showing excellent conditioning properties of the new partially orthogonal shape functions compared to other popular sets of hierarchic shape functions.
Trvalý link: http://hdl.handle.net/11104/0180272