Lecture WS 26/27 Numerical Algorithms
Mixed, non-conforming and discontinuous methods
Time and Place : Tuesday 10:15-11:45 and Thursday 8:30-10:00 at INS, FHA 7, Room 2.035
Contents and Prerequisites
In this course, we will study mixed and non-conforming finite element as well as discontinuous Galerkin methods for stationary (i.e., time-independent), linear PDEs. The key ideas will be illustrated at the example of the Poisson equation, but we will also discuss other example PDEs where the advantages of these method are even more visible. Therefore, all considered methods are highly relevant in modern applications to numerically solve partial differential equations in an efficient manner.
Basic knowledge about numerical algorithms and PDEs (weak formulation, Sobolev spaces, Theorem of Lax-Milgram) is assumed. Knowledge on the discretization of elliptic PDEs using (conforming) finite element methods and related error estimates (as taught e.g. in Scientific Computing I) is recommended and helpful, but not strictly required.
eCampus
Further information will be provided ion eCampus in due time.