Kolloquium zur Masterarbeit: Maik Porrmann

Studentischer Vortrag (Kolloquium zur Masterarbeit)
Vortragender: Maik Porrmann
Ansprechpartner: Prof. Dr. Axel Voigt, Dr. Simon Praetorius

Titel: C¹ Finite Elements for Dune
Abstract: We present a Dune module that provides three new types of finite elements, namely the cubic Hermite element on simplices, the quadratic Morley, and the quintic Argyris triangle. They give Dune the capability to formulate conforming methods for fourth order problems in one and two dimensions. We detail out, how they handle the lack of affine equivalence while still being usable on the reference element, discuss their positioning within the Dune framework, and demonstrate the convergence of the resulting methods for some model problems.