Publications in Scientific Journals:

J. Melenk, T. Eibner:
"An adaptive strategy for hp-FEM based on testing for analyticity";
Computational Mechanics, 39 (2007), 5; 575 - 595.

English abstract:
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.
We justify this approach 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.

Created from the Publication Database of the Vienna University of Technology.