Faber polynomials and its application to seismic imaging
Séminaire AMAC: EDP-AIRSEA-CVGI
5/05/2022 - 11:00 Fernando Valdes Ravelo (University of Sao Paulo) IMAG 106
In this talk I will present some of the results on exponential integrators applied to the solution of the wave equations with absorbing boundary conditions. In particular, I will talk about Faber polynomials, which are a generalization of Chebyshev polynomials. Chebyshev polynomials form explicit exponential integrators that are well known for their simplicity and fast convergence. However, they have strong limitations that restrict their use in applied areas. So, we overcome these difficulties with their generalization of Faber polynomials. From there we study their numerical properties and computational efficiency, searching for advantageous features that help in the solution of the inverse problem that appears in the seismic image.