PIMS-CSC Seminar: Simone Brugiapaglia

We present the CORSING (COmpRessed SolvING) method for the numerical approximation of PDEs. Establishing an analogy between the bilinear form associated with the weak formulation of a PDE and the signal acquisition process, CORSING combines the classical Petrov-Galerkin method with compressed sensing. Considering the advection-diffusion-reaction equation of fluid dynamics as a case study, we discuss some numerical examples in MATLAB and analyze the method from a theoretical perspective, discussing recovery error estimates in expectation and in probability. This work is in collaboration with Fabio Nobile (EPFL, Switzerland), Stefano Micheletti (MOX - Politecnico di Milano, Italy) and Simona Perotto (MOX - Politecnico di Milano, Italy).