CMU Campus
Center for                           Nonlinear Analysis
CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact
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