This thesis is concerned with the finite element
analysis and the a posteriori error estimation for
eigenvalue problems for general operator pencils on
two-dimensional manifolds.
A specific application of the presented theory is the
computation of corner singularities.
Engineers use the knowledge of the so-called singularity
exponents to predict the onset and the propagation of
cracks.
All results of this thesis are explained for two model
problems, the Laplace and the linear elasticity problem,
and verified by numerous numerical results.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa.de:swb:ch1-200600805 |
| Date | 07 May 2006 |
| Creators | Pester, Cornelia |
| Contributors | TU Chemnitz, Fakultät für Mathematik, Logos Verlag Berlin,, Professor Thomas Apel, Professor Thomas Apel, Professor Arnd Meyer, Professor Serge Nicaise |
| Publisher | Universitätsbibliothek Chemnitz |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | doc-type:doctoralThesis |
| Format | text/html, application/pdf, application/postscript, image/png, image/gif, image/gif, text/plain, application/zip |
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