The boundary concentrated finite element method
is a variant of the hp-version of the finite
element method that is particularly suited for
the numerical treatment of elliptic boundary
value problems with smooth coefficients and low
regularity boundary conditions. For this method
we present two multilevel preconditioners that
lead to preconditioned stiffness matrices with
condition numbers that are bounded uniformly in
the problem size N. The cost of applying the
preconditioners is O(N). Numerical examples
illustrate the efficiency of the algorithms.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa.de:swb:ch1-200601662 |
| Date | 11 September 2006 |
| Creators | Eibner, Tino, Melenk, Jens Markus |
| Contributors | TU Chemnitz, SFB 393 |
| Publisher | Universitätsbibliothek Chemnitz |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | doc-type:preprint |
| Format | text/html, text/plain, image/png, image/gif, text/plain, image/gif, application/pdf, application/x-gzip, text/plain, application/zip |
| Source | Preprintreihe des Chemnitzer SFB 393, 05-13 |
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