Imposing orthogonality to hierarchic higher-order finite elements

Pavel Šolín, Tomáš Vejchodský, Martin Zítka and Francisco Ávila

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 76, issue 1, 211-217

Abstract: We propose a new class of hierarchic higher-order finite elements suitable for the hp-FEM 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.

Keywords: hp-FEM; Optimal shape functions; Energetic inner product (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:76:y:2007:i:1:p:211-217

DOI: 10.1016/j.matcom.2007.01.025

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