Special Applied & Computational Math Seminar Series
Faisal Amlani received his BA from Rice University and his PhD from Caltech, both in applied mathematics. His doctoral work was awarded the Caltech W.P. Carey Prize and the Caltech Demetriades Prize for the most outstanding dissertation in mathematics and seismo-engineering, respectively. After some years working as an experimentalist and engineer at an R&D aerospace startup in Los Angeles, he returned to academia by way of France through postdocs at Sorbonne University and the Institut Polytechnique de Paris. He is currently a Postdoctoral Scholar-Research Associate in the Department of Aerospace & Mechanical Engineering at USC and, starting Jan 2022, will be joining the faculty at the École Normale Supérieure of the Université Paris-Saclay.
***Attend In person ~ ANB 104***
***Attend Online ~ Zoom link below***
This talk discusses efforts to study wave-like phenomena in realistic applications through the development of new high-order methodologies for the numerical analysis of the partial differential equations (PDEs) that govern both linear and nonlinear behavior. These techniques include new Fourier-based methods in the time-domain as well as adaptive boundary element methods in frequency-space, where the ultimate goal is to provide fast, stable and physically-faithful resolution of the underlying mechanical dynamics. With an eye towards mutual validation of both simulation and experiment, the efficacy of these tools will be demonstrated through some of the collaborative scientific problems that have inspired them, including those in materials science (ultrasonic non-destructive testing), cardiovascular medicine (pulsatile blood flow) and geophysics (supershear earthquakes and tsunami generation).