In this paper, we consider domain decomposition preconditioners for a system of linear algebraic equations arising from the <i>p</i>-version of the fem. We propose several multi-level preconditioners for the Dirichlet problems in the sub-domains in two and three dimensions. It is proved that the condition number of the preconditioned system is bounded by a constant independent of the polynomial degree. The proof uses interpretations of the <i>p</i>-version element stiffness matrix and mass matrix on [-1,1] as <i>h</i>-version stiffness matrix and weighted mass matrix. The analysis requires wavelet methods.
Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:18500 |
Date | 11 April 2006 |
Creators | Beuchler, Sven |
Publisher | Technische Universität Chemnitz |
Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
Language | English |
Detected Language | English |
Type | doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text |
Source | Preprintreihe des Chemnitzer SFB 393, 03-03 |
Rights | info:eu-repo/semantics/openAccess |
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