Fall 2016
Colloquia are held on Fridays at 11:30 a.m. in Cullimore Lecture Hall II, unless noted otherwise. Refreshments are served at 11:30 am. For questions about the seminar schedule, please contact Yassine Boubendir.
Date: October 28, 2016
Speaker: Mike Siegel
Department of Mathematical Sciences,
New Jersey Institute of Technology
Title: "A Local Target-Specific QBX Method for Laplace's Equation in 3D Multiply-Connected Domains"
Abstract:
The boundary integral method is among the most popular and accurate methods for boundary value problems in complex geometries. We present a new version of the QBX method for accurate evaluation of boundary integrals (or layer potentials) at target points on or near the surface of integration. The QBX method makes use of the fact that the function described by a layer potential is smooth in the interior or exterior region and can be expanded in a Taylor's (or other) series about an interior/exterior point or `center.' Such expansions about multiple centers are then used to accurately evaluate the boundary integral on or near the boundary surface. Our version of the method uses several key ideas to improve its efficiency, making it useful for some large scale problems. This work is joint with Anna-Karin Tornberg.