Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140964 | Mathematics and Computers in Simulation | 2008 | 16 Pages |
Abstract
In this paper we present a new automatic adaptivity algorithm for the hp-FEM which is based on arbitrary-level hanging nodes and local element projections. The method is very simple to implement compared to other existing hp-adaptive strategies, while its performance is comparable or superior. This is demonstrated on several numerical examples which include the L-shape domain problem, a problem with internal layer, and the Girkmann problem of linear elasticity. With appropriate simplifications, the proposed technique can be applied to standard lower-order and spectral finite element methods.
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Control and Systems Engineering
Authors
Pavel Šolín, Jakub Červený, Ivo Doležel,