"Discretizations of Exterior Calculus"

Dear All,

Mathematical Soft Matter Unit (Fried Unit) would like to invite you to a Seminar by Professor Anil Hirani from University of Illinois at Urbana-Champaign.

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Date: Monday, February 22nd, 2016
Time: 14:00-15:00
Venue: C016, LevelC, Lab 1
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Speaker:
Professor Anil Hirani
Associate Professor
Department of Mathematics
University of Illinois at Urbana-Champaign

Title:
Discretizations of Exterior Calculus

Abstract:
 Exterior calculus generalizes vector calculus to manifolds of arbitrary dimension. The coordinate independent variant of exterior calculus has proved convenient as a starting point for programming numerical methods for partial differential equations on surfaces and other manifolds. After a brief review of exterior calculus (using vector calculus analogies) I will describe two discretizations: finite element exterior calculus and a more combinatorial discrete exterior calculus. This is an overview talk and the emphasis will NOT be on new results, but rather on conveying the main ideas of these discretizations and their applications.