Special Session 144: PDEs and Irregular Interfaces: New Frontiers for Industrial Applications

Integral equation methods for ice floes and other surface wave scattering problems
Tristan Goodwill
University of Chicago
USA
Co-Author(s):    
Abstract:
Ocean waves cause large deformations floating ice sheets and ice floes, which can cause icequakes and more generally impact the stability of the cryosphere. These waves are also an example of bulk-surface problems involving complicated boundary conditions, nonlocal effects, and infinite or extended interfaces. In this talk, I present novel integral equation methods and fast solvers for a broad class of surface wave problems. The integral equation is Fredholm second kind and only posed on a compact region of interest. I demonstrate the effectiveness of these methods on a variety of glaciological applications.