Department of Computer Science and Engineering

Guest Speaker

Button Calculus on Meshes

Anil R. Hirani
Dept. of Computer Science
University of Illinois at Urbana-Champaign

May 20 2008 3:30PM
480 Dreese Labs
All interested parties are invited to attend.
Refreshments will be served prior to the talk.

Abstract:

Vector calculus generalizes to exterior calculus. A numerically stable discretization of this calculus is aided by basic ideas from algebraic topology and geometry. I will describe such a Discrete Exterior Calculus (DEC), and discuss the related mesh smoothing topic of well-centered triangulations (WCT), in which each simplex contains its circumcenter. An application of DEC and WCT to Darcy flow, which is a simple model for flow in porous media, will also be described.

Joint work with the students Nathan Bell, Jehanzeb Chaudhry and Evan VanderZee, and with colleagues Damrong Guoy, Kalyana Nakshatrala, Edgar Ramos, and Vadim Zharnitsky.

Bio:
Anil N. Hirani is an Assistant Professor in the Scientific Computing Group in Department of Computer Science at University of Illinois at Urbana-Champaign, where he has been since 2005. He got his Ph.D from Caltech in 2003.

Host: Mikhail Belkin

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