We consider Laplace's equation on a domain with holes(both random and periodic) and prove that under the right scaling for the holes and the distance between holes, we get an extra strange term appearing in the homogenized equation. The rates of convergences as the size of the holes go to zero are quantified via an obstacle problem perspective. We believe that this method is robust enough to take care of more general hole geometries and arrangement.
Sanchit Chaturvedi (New York University, USA)
Date & Time
Wed, 08 August 2018, 15:30 to 16:30
Amal Raychaudhuri Meeting Room, ICTS Campus, Bangalore