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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium

Ari Stern
Washington University
Title: Recent advances in finite element exterior calculus

Abstract: Finite element exterior calculus (FEEC) encapsulates several decades of progress on mixed finite element methods, including the surprising relationship between these methods and algebraic topology.

In this talk, I will begin by introducing the basic framework of FEEC, as formalized by Arnold, Falk, and Winther. I will then discuss some advances over the past few years due to myself and my coauthors, including (1) analysis of "variational crimes" and the implications for finite elements on hypersurfaces; (2) generalization from linear to semilinear problems, such as the Yamabe problem in geometric analysis and the Hamiltonian constraint equation in general relativity; and (3) discretization of certain Dirac operators arising in Clifford analysis.

Date: Tuesday, November 1, 2016
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  Ian Tice