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Applied Mathematics Colloquium

Monday, May 19, 2014
4:15pm to 5:15pm
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Annenberg 105
Banach Space Projections and Petrov-Galerkin Estimates
Ari Stern, Assistant Professor of Mathematics, Washington University in St. Louis,
  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.
For more information, please contact Carmen Nemer-Sirois by phone at (626) 395-4561 or by email at carmens@caltech.edu.