After successful completion of the course, students are able to become aquainted with an popular active research topic in numerical analysis. Students are able to study existing literature, to give a presentation on the blackboard.
In this seminar, we analyze modern discretization techniques for elliptic partial differential equations such as the virtual element method (VEM) or the discontinuous Petrov Galerkin method (DPG). These non-standard techniques generalize the classical finite element method (FEM), e.g., to arbitrary polygonal meshes or impose weaker continuity.
Supervised discussion of a selected topic with the help of mathematical literature (books, scientific papers), presentation by students with feedback.
The grade is given according to the quality of presentation.
Not necessary