Math/ICES Center of Numerical Analysis Seminar (Spring 2017)

Time and Location: Friday, 1:00-2:00PM, POB 6.304 Special time and locations are indicated in red.

If you are interested in meeting a speaker, please contact Kui Ren (ren@math.utexas.edu)

Here are the links to the past seminars: Fall 2016 Spring 2016 Fall 2015 Spring 2015 Fall 2014 Spring 2014 Spring 2013 Fall 2012, Spring 2012, Fall 2011, Spring 2011, Fall 2010, Spring 2010, Fall 2009

Dates

Spekers and Hosts

Title and Abstract




02/03/2017

Fernando Guevara-Vasquez

University of Utah

TBA




02/10/2017

Mike O'Neil

Courant Institute

Integral equation methods for the Laplace-Beltrami problem

The reformulation of many of the classical constant-coefficient PDEs of mathematical physics (e.g. Laplace, Helmholtz, Maxwell, etc.) as boundary integral equations is a standard mathematical tool, which, when coupled with iterative solvers and fast algorithms such as fast multipole methods (FMMs), allows for the nearly optimal-time solution of these PDEs. Extending these methods to variable coefficient PDEs, especially those defined along surfaces, is not straightforward and ongoing research. In this talk, we will address the problem of solving the Laplace-Beltrami problem along surfaces in three dimensions. The Laplace-Beltrami problem is a variable coefficient PDE, with applications in electromagnetics, fluid-structure interactions, and surface diffusions. Our resulting integral equation is ready for acceleration using standard FMMs for Laplace potentials; several numerical examples will be provided.




02/17/2017


NO SEMINAR




02/24/2017


NO SEMINAR




03/03/2017


NO SEMINAR




03/10/2017

Yunan Yang

UT Austin

TBA




03/17/2017


SPRING BREAK




03/24/2017






03/31/2017






04/07/2017

Peijun Li

Purdue University

TBA




04/14/2017






04/21/2017






04/28/2017

Jean Ragusa

Texas A&M

TBA




05/05/2017