Finite element exterior calculus - a link between topology and numerical analysis
Vortrag von Prof. Dr. Ragnar Winther
Datum: 26.11.13 Zeit: 17.15 - 18.30 Raum:
The purpose of this talk is to illustrate how computational methods for certain partial differential equations can be constructed and analyzed in the setting of discrete differential complexes. In fact, we will show how various stability and convergence properties can be derived in an abstract setting of Hilbert complexes, and discuss how the proper assumptions can be verified in the more concrete setting of the de Rham complex and its discretizations. A key tool in our analysis is the concept of bounded cochain projections, which represents the connection between the differential complex and its discretization. We will discuss several possibilities of such constructions.