**Date & Time:** Wednesday, January 13, 2016, 16:00-17:00.

**Venue:** Ramanujan Hall

**Speaker:** Manas Rachh, Yale University

**Title:** Quadrature by Expansion

**Abstract:** High order robust quadrature rules for evaluating singular integrals in potential theory
A variety of problems in electrostatics, acoustics, viscous flow, linear elasticity and electromagnetics can be posed as homogeneous elliptic partial differential equations. In such cases, reformulating the governing equation as a boundary integral equation is a natural approach, since this reduces the dimensionality of the problem (discretizing the boundaries alone) and permits high order accuracy in complicated geometries. A persistent problem in the practical application of integral equation methods lies in evaluating layer potentials with singular integrands on complex geometries. In this talk, we present a potential theoretic approach for developing high order, robust and computationally efficient quadrature schemes for evaluating such layer potentials.