In her NSF CAREER project, Smetana and her students will focus on designing multiscale methods via randomization techniques that have originally been proposed in the context of data science. They will use these randomization techniques to detect hidden structures in the local numerical simulation data, such as the simulations of the deformation of portions of wind turbines, and, in particular, to detect the functions that are relevant for the approximation of the solution of the PDE.
“I am excited about connecting methods from different areas and then also creating new methods out of that,” Smetana said. “I am also excited about the application to wind turbines and about this combination of using theoretical mathematical tools to design and analyze methods all the way to applying them.” |