Numerische Mathematik

, Volume 115, Issue 3, pp 475–509

A posteriori error estimation for hp-version time-stepping methods for parabolic partial differential equations

Authors

  • Dominik Schötzau
    • Department of MathematicsUniversity of British Columbia
    • Mathematics InstituteUniversität Bern
Article

DOI: 10.1007/s00211-009-0285-8

Cite this article as:
Schötzau, D. & Wihler, T.P. Numer. Math. (2010) 115: 475. doi:10.1007/s00211-009-0285-8

Abstract

The aim of this paper is to develop an hp-version a posteriori error analysis for the time discretization of parabolic problems by the continuous Galerkin (cG) and the discontinuous Galerkin (dG) time-stepping methods, respectively. The resulting error estimators are fully explicit with respect to the local time-steps and approximation orders. Their performance within an hp-adaptive refinement procedure is illustrated with a series of numerical experiments.

Mathematics Subject Classification (2000)

65M60 65J10

Copyright information

© Springer-Verlag 2010