The constant gamma in the strengthened Cauchy-Bunyakowskii-Schwarz inequality is a basic tool for constructing of two-level and multilevel preconditioning matrices. Therefore many authors consider estimates or computations of this quantity. In this paper the bilinear form arising from 3D linear elasticity problems is considered on a polyhedron. The cosine of the abstract angle between multilevel finite element subspaces is computed by a spectral analysis of a general eigenvalue problem. Octasection and bisection approaches are used for refining the triangulations. Tetrahedron, pentahedron and hexahedron meshes are considered. The dependence of the constant $\gamma$ on the Poisson ratio is presented graphically.
Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:18590 |
Date | 01 September 2006 |
Creators | Jung, Michael, Todorov, Todor D. |
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, 04-13 |
Rights | info:eu-repo/semantics/openAccess |
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