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An adaptive strategy for hp-FEM based on testing for analyticity

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.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:18587
Date01 September 2006
CreatorsEibner, Tino, Melenk, Jens Markus
PublisherTechnische Universität Chemnitz
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text
SourcePreprintreihe des Chemnitzer SFB 393, 04-10
Rightsinfo:eu-repo/semantics/openAccess

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