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http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601510

Kurzfassung in Englisch

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.

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