Spring 2011, Topics in Numerical Analysis (Finite Element Methods)
Fall 2010, Calculus III
Research Interests:
Numerical Analysis and Scientific Computing
Discontinuous Galerkin Methods for Elliptic Problems
Finite Element Methods
Finite Volume Methods
Flow in Porous Media
Coupling Free Flow and Porous Media Flow
Computational Fluid Dynamics
Moment methods for Radiative transfer
Discontinuous Galerkin Methods for Hyperbolic Problems
Research Support:
09/2011 - 08/2014 NSF grant DMS-1115269 Collaborative Research: Numerical approaches for incompressible viscous flows with high order upto the boundary
(with Benjamin Seibold and Rodolfo Ruben Rosales)Publications:
Discontinuous Galerkin method for 2D moment closure models for radiative transfer.(with M. Frank, P. Monreal, B. Seibold), in preparation
A comparative study of efficiency of jet schemes. (with J.-C. Nave, R. R. Rosales, B. Seibold), to appear in Int.J. Numer. Anal. Model.-B, 2012
Continuous and discontinuous finite element methods for coupled surface-subsurface flow and transport problem.( with A. Cesmelioglu and B. Riviere)
,submitted
On the Coupling of Finite Volume and Discontinuous Galerkin for Reservoir Simulation Problems. (with I. Mishev and Beatrice Riviere)
Proceedings of SPE Reservoir Simulation Symposium , SPE 14197
On the coupling of the finite volume method and the Discontinuous Galerkin method for elliptic problems. (with I. Mishev and B. Riviere)
Journal of Computational and Applied Mathematics,231 p2193-2204,2011
On the Solution of the Coupled Navier-Stokes and Darcy Equations. (with B. Riviere)
Computer Methods in Applied Mechanics and Engineering, 198 p.3806-3820, 2009