Title: Boundary integral scattering

Speaker: Francisco-Javier Sayas 

University of Minnesota (USA) & Universidad de Zaragoza (Spain)

Abstract: I will give a transverse introduction to how Boundary Integral
techniques (or their numerical version, the Boundary Element Method) have
been and are being used for scattering problems. While in the beginning the
field of boundary integral equations dealt mainly with simple exterior
problems, the study of the scattering of waves that traverse obstacles
offers a set of more realistic problems where BEM techniques have often to
be coupled with better known methods for PDEs, such as the Finite Element
Method. We will see how a method-oriented approach can be valid for wave
problems in the frequency and time domains, and how the Laplace transform
plays a surprising role for numerical discretization in the time domain.