Computational Mechanics

, Volume 39, Issue 5, pp 575–595

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

Original Paper

DOI: 10.1007/s00466-006-0107-0

Cite this article as:
Eibner, T. & Melenk, J.M. Comput Mech (2007) 39: 575. doi:10.1007/s00466-006-0107-0

Abstract

We present an hp-adaptive strategy that is based on estimating the decay of the expansion coefficients when a function is expanded in L2-orthogonal polynomials 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.

Keywords

Adaptivityhp-FEMOrthogonal polynomials on triangles and tetrahedra

Copyright information

© Springer Verlag 2006

Authors and Affiliations

  1. 1.Fakultät für MathematikTU ChemnitzChemnitzGermany
  2. 2.Institut für Analysis und Scientific ComputingViennaAustria