Some Algorithmic Aspects of hp-Adaptive Finite Elements

  • Randolph E. Bank (University of California, San Diego, USA)
Felix-Klein-Hörsaal Universität Leipzig (Leipzig)


We will discuss our on-going investigation of hp-adaptive finite elements. We will focus on a posteriori error estimates based on superconvergent derivative recovery. Besides providing both global error estimates and local error indicators, this family of error estimates also provides information that forms the basis of our hp-adaptive refinement and coarsening strategies. In particular, these a posteriori error estimates address in a cost efficient and natural way the critical issue of deciding between h or p refinement/coarsening. Some numerical examples will be provided.

10/28/13 10/30/13

Numerical Analysis and Scientific Computing

Universität Leipzig Felix-Klein-Hörsaal

Katja Heid

Jörg Lehnert

Jürgen Jost

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Felix Otto

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Harry Yserentant

Technische Universität Berlin