PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Fei Wang, Toan Nguyen, Stephanie Zerby, Mark Levi, Victor Nistor, Jinchao Xu, Ludmil Zikatanov.

Title:The classical Laplacian and the fractional Laplacian as limits of nonlocal diffusion operators
Seminar:CCMA Luncheon Seminar
Speaker:Marta D'Elia, Sandia Nat. Lab.
Abstract Link:http://sites.google.com/site/martadeliawebsite/Home
Abstract:
In this talk we introduce nonlocal operators and discuss their properties and possible applications. Using the nonlocal vector calculus, the nonlocal counterpart of the classical vector calculus, we analyze the connections between nonlocal diffusion operators and the local and fractional Laplacian. In particular, we show that as the nonlocal interactions vanish the nonlocal operators approach the classical Laplacian and as the nonlocal interactions become infinite they approach the fractional Laplacian and other fractional differential operators. In the latter case, we also show one-dimensional test cases that illustrate the theoretical results.

Room Reservation Information

Room Number:MB114
Date:11 / 18 / 2013
Time:12:20pm - 01:30pm