Numerical Analysis Seminar (Finite Element Exterior Calculus)

The seminar is based on the book "Finite Element Exterior Calculus" by Doug Arnold (Link provided via Kusss). The main spirit of this book is to reveil tight connections between different fields of mathematics, e.g., algebraic topology, functional analysis, differential geometry, numerical methods, and to explore these connections in order to gain insight into the construction and analysis of finite element methods. The presentation in the book is rather self-contained and most of the material should be accessible for students with a solid foundation in analysis, linear algebra, and functional analysis.

We expect well-prepared presentations and active scientific discussion.

The regular date for seminar talks will be Thu, 13:45-15:30 (information in Kusss is to be updated). The planned schedule is


Date Time Room Speaker Title
2022-10-13 13:45 S2 0346   Preliminary discussion
2022-10-20 13:45     Preparation
2022-10-27 13:45     Preparation
2022-11-03 13:45     Preparation
2022-11-10 13:45 S2 054 Franz Scharnreiter Ch 2: Basic notions of homological algebra
2022-11-17 13:45 S2 054 Eva-Maria Haslhofer Ch 3: Unbounded Operators on Hilbert spaces
2022-11-24 13:45 S2 054 Felix Engertsberger Ch 4: Hilbert Complexes
2022-12-01 13:45     No Seminar
2022-12-08 13:45     No Seminar
2022-12-15 13:45     No Seminar
2023-01-12 13:45 S2 054 Josef Mergl Ch 5: Approximation of Hilbert Complexes
2023-01-19 13:45 S2 054 Marvin Fritz Ch 6: Basic Notions of exterior Calculus
2023-01-26 13:45 S2 054 Nepomuk Krenn Ch 7: Finite element differential forms





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