Upcoming Events

On the Approximation of the Dirichlet to Neumann Map and Its Applications to Domain Decomposition Methods for Problems in High Contrast Media

April 2, 2014 10:30AM to 11:30AM
Presenter 
Yingpei Wang, Postdoc Interviewee
Location 
Building 240, Room 4301
Type 
Seminar
Abstract:
I will talk about an asymptotic approximation of the Dirichlet to Neumann (DtN) map of high contrast composite media with perfectly conducting inclusions that are close to touching. The result is an explicit characterization of the DtN map in the asymptotic limit of the distance between the inclusions tending to zero. The approximation of DtN map is applied directly to nonoverlapping domain decomposition methods as preconditioners. I have coupled theoretical results into numerical methods successfully in order to obtain more computational efficiency.