Yekaterina Epshteyn

Postdoctoral Associate at the Department of Mathematical Sciences and
Center for Nonlinear Analysis, Carnegie Mellon University

Numerical Analysis, Scientific Computing, Applied Mathematics

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CV pdf

Research Interests:  

  • Numerical Analysis, Scientific Computing, Applied Mathematics
  • Finite Element Method: Continuous Galerkin (CG), Discontinuous Galerkin (DG)
  • Finite Difference Method, Difference Potential Method
  • Computational Fluid Dynamics: Large Eddy Simulation (LES)
  • Flow in Porous Media, Multiphase Flow
  • Optical tomography inverse problems
  • Material Science Applications
  • Biomedical Applications


Some of the results that we obtained for two-phase flow simulation:
Below 2D view of saturation contour (left) and 3D view of pressure contour (right) at 350 days.
This is an example of heterogeneous benchmark problem (the permeability coefficient is discontinuous).
(Click on saturation picture to see the movie.)
pic1 pic2



Previous Teaching:

  • Teaching Assistant: Matrices and Linear Operators (Spring 2007)
  • Grader: Finite Element Method (Spring 2007)
  • Instructor: Calculus 1 (Summer 2005)
  • Teaching Assistant: Calculus 1, 2 (Spring 2004, 2005-2006)

Contact Information

Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213

Last Modified: August 26, 2007