Institute of Computational and Mathematical Engineering
The methods I was involved in developing were aimed to reduce the computational cost of simulating complex physical, high Reynolds number flows that are of
interest in today's world, e.g., air flow over the wing of a jet. I extended the recently proposed discontinuous enrichment method (DEM), a mixed/hybrid finite element method, to the advection-diffusion equation in high Peclet number (advection-dominated) regimes. I have also done some work in reduced order modeling (ROM) of coupled fluid-structure systems,
in collaboration with a group at the Sandia National Laboratories. I used tools from mathematical analysis to study the stability and convergence of Galerkin ROMs for compressible flow.
Ph.D. in Computational and Mathematical Engineering, 2011, Stanford University, CA, USA M.A. Mathematics, University of Pennsylvania, PA, USA B.A. Mathematics (Minor in Actuarial Mathematics), University of Pennsylvania, PA, USA