Global ETD Search

1	An adaptive strategy for hp-FEM based on testing for analyticity Eibner, 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. mesh generation and refinement ddc:510 Adaptives Verfahren Finite-Elemente-Methode Orthogonale Polynome hp-Methode
2	An adaptive strategy for hp-FEM based on testing for analyticity Eibner, 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. info:eu-repo/classification/ddc/510 ddc:510 Adaptives Verfahren Finite-Elemente-Methode Orthogonale Polynome hp-Methode mesh generation and refinement