[Amath-seminars] Thursday Seminar, May 24th, Lewis 208

Travis Askham askham at uw.edu
Thu May 24 14:45:34 PDT 2018


Reminder of today's talk. Note the earlier time...

On Wed, May 23, 2018 at 4:29 PM, Loyce M. Adams <lma3 at uw.edu> wrote:


> Hi All,

>

> We have a seminar this Thursday in Lewis Hall 208 from 3:30-4:30pm.

> Please note the seminar has moved 1/2 hour earlier than usual. The

> speaker, title, and abstract are below.

>

> Loyce Adams

>

> ---

> May 24: 3:30-4:30 Fred Wan Conference Room, Lewis Hall 208

>

> Speaker: Prof. Ludvig af Klinteberg

> Dept. of Mathematics

> Simon Fraser

>

> Title: Quadrature for layer potentials with near singularities

>

> Abstract:

>

> Boundary integral methods provide an efficient way of solving elliptic

> partial differential equations, by representing the solution as a

> layer potential. However, efficient evaluation of the solution close

> to the boundary of the domain presents a significant problem. The root

> cause of this is the fact that common quadrature methods for smooth

> integrands, such as Gauss-Legendre quadrature and the trapezoidal rule,

> are ill-suited for integrands that have a singularity near the interval

> of integration. The nature of this error is however well understood,

> and I will show how it can be approximated numericalyy. I will also

> review two relatively recent methods for evaluating layer potentials

> near a boundary; one (QBX) uses the smoothness of the solution to form

> a local expansion of the solution, the other computes modified quadrature

> weights using a compex variable formulation. These methods can in turn

> be improved, at least in some cases, by applying the techniques developed

> for the numerical approximation of quadrature errors.

>

>



--
Travis Askham
Research Associate of Applied Mathematics at the University of Washington
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