Applied Mathematics Colloquium

Monday May 19, 2014 4:15 PM

Banach Space Projections and Petrov-Galerkin Estimates

Speaker: Ari Stern, Assistant Professor of Mathematics, Washington University in St. Louis
Location: Annenberg 105
The Galerkin and Petrov-Galerkin methods provide an abstract, functional-analytic foundation for the analysis of the finite element method in numerical PDEs. In this talk, I will introduce these methods and some of the classical estimates, which can be described with few analytical prerequisites beyond the theory of Hilbert and Banach spaces. I will then discuss some recent work showing that one of these classical error estimates, due to Babuska (1971), can be sharpened by considering the relationship between Banach space geometry and projection operators.
Series Applied Mathematics Colloquium Series

Contact: Carmen Nemer-Sirois at (626) 395-4561 carmens@caltech.edu