# Boundary concentrated and adaptive $hp$-FEM

## Dr. Tino Eibner

April 18, 2007, 10:15 a.m. HF 136

In this talk I will give a brief survey of the results of my PhD thesis which investigates the boundary concentrated $hp$-FEM as well as related topics concerning general $hp$-FEM.

The talk will start with a short introduction into $hp$-FEM. Thereafter I will speak about the boundary concentrated finite element methode as a special version of $hp$-FEM and the construction of a multilevel preconditioner for this methode. Finally I will say a few words concerning the generalization to fully adaptive $hp$-FEM and how to decide between $h$- and $p$-refinement.