Speakers: Monica Nonino, University of Vienna

Hosted at: SISSA, International School of Advanced Studies, Trieste, Italy, room 133.

Abstract: 

The focus of this talk is on wave propagation problems in space and time, in 2 dimensional domains with piecewise-linear boundaries, possibly including polygonal scatterers.
I will present a surrogate model for the approximation of the propagating wave. In the model, the wave is approximated by the sum of some nonlinear space-time functions: each term in this sum represents a ray, which models either a reflection or a diffraction effect. I will show how it is possible ti identify these rays automatically, based on the geometry of the domain. Several numerical examples will showcase the potential of the proposed methodology.