Static condensation,partial orthogonalization of basis functions,and ILU preconditioning in the hp-FEM |
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Authors: | Tomá &scaron Vejchodský ,Pavel &Scaron olí n |
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Affiliation: | 1. Institute of Mathematics, Czech Academy of Sciences, ?itná 25, 115 67 Prague 1, Czech Republic;2. Institute of Thermomechanics, Czech Academy of Sciences, Dolejškova 5, 182 00 Prague 8, Czech Republic;3. Department of Mathematical Sciences, University of Texas at El Paso, TX 79968, USA |
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Abstract: | Static condensation of internal degrees of freedom, partial orthogonalization of basis functions, and ILU preconditioning are techniques used to facilitate the solution of discrete problems obtained in the hp-FEM. This paper shows that for symmetric linear (not necessarily positive-definite) problems, under mild technical assumptions, these three techniques are completely equivalent. In fact, the same matrices can be obtained by the same arithmetic operations. The study can be extended to nonsymmetric problems naturally. |
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Keywords: | 65N30 74S05 |
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