After successful completion of the course, students are able to become acquainted with an popular active research topic in numerical analysis. Students are able to study existing literature, to give a presentation on the blackboard and to summarize the topic in a seminar paper.
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, supervision for scientific writing in Latex.
The grade consists of the presentation and the written seminar paper in approximately equal parts,
Not necessary
Functional analysis, differential equations, numerics
