Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140470 | Mathematics and Computers in Simulation | 2007 | 7 Pages |
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.
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Authors
Pavel Å olÃn, TomáÅ¡ Vejchodský, Martin ZÃtka, Francisco Ávila,