Irina Kalashnikova

Personal Profile

Irina Kalashnikova

Title:

Graduate Student

Department(s):

Institute of Computational and Mathematical Engineering

Location:

Durand, 023B

Mail Code:

Phone:

(650) 723-2131

Fax:

(650) 723-8816

E-mail:

irinak

@stanford.edu

URL:

http://www.stanford.edu/~irinak

Research Statement:

The methods I am involved in developing are 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 am currently extending 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 Sandia National Laboratories. I am currently using tools from mathematical analysis to study the stability and convergence of Galerkin ROMs for compressible flow.

Additional Information

Education:

Ph.D. Candidate in Institute of Computational and Mathematical Engineering, Stanford University, CA, USA
M.A. Mathematics, University of Pennsylvania, PA, USA
B.A. Mathematics (Minor in Actuarial Mathematics), University of Pennsylvania, PA, USA