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An adaptive strategy for hp-FEM based on testing for analyticityEibner, Tino, Melenk, Jens Markus 01 September 2006 (has links) (PDF)
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.
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An adaptive strategy for hp-FEM based on testing for analyticityEibner, Tino, Melenk, Jens Markus 01 September 2006 (has links)
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.
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