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Imposing orthogonality to hierarchic higher-order finite elements.

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. © 2007 IMAC.

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Authors


Vejchodský, T More by this author
Journal:
Mathematics and Computers in Simulation
Volume:
76
Issue:
1-3
Pages:
211-217
Publication date:
2007
DOI:
ISSN:
0378-4754
URN:
uuid:28670327-8c79-4e15-8d87-21780c1ac288
Source identifiers:
398187
Local pid:
pubs:398187

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