We present an $hp$-adaptive strategy that is based
on estimating the decay of the expansion coefficients
when a function is expanded in $L^2$-orthogonal
polynomails on a triangle or a tetrahedron.
This method is justified by showing that the decay
of the coefficients is exponential if and only if
the function is analytic.
Numerical examples illustrate the performance of
this approach, and we compare it with two other
$hp$-adaptive strategies.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:18587 |
| Date | 01 September 2006 |
| Creators | Eibner, Tino, Melenk, Jens Markus |
| 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, 04-10 |
| Rights | info:eu-repo/semantics/openAccess |
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