26/06/2019, 14:30 — 15:30 — Room P3.10, Mathematics Building
Thomas Fuehrer, Pontificia Universidad Católica de Chile
Introduction to the DPG method: Abstract framework and applications
In this talk I will present the basic ideas of the D(iscontinuous)-P(etrov)-G(
alerkin) method with optimal test functions which was introduced by Demkowicz and Gopalakrishnan in 2009. We will have a look at the abstract theory and in particular at the concept of optimal test functions. Then, I will define an ultraweak formulation of Poisson's equation and explain how to apply the abstract ideas of DPG methods to this particular case. Finally, I will discuss several problems where the DPG method has been used successfully. These applications range from singular perturbation problems to plate bending problems.