My general research interests are in Numerical Analysis and Scientific Computing. My primary research interests include

• Numerical methods for partial differential equations
• Modeling of multiscale, multiphase flow in porous media
• Homogenization and multiscale analysis
• Solid mechanics

1. A coupling of nonconforming and mixed finite element methods for Biot's consolidation model, submitted 2011.
2. (with J. Douglas, Jr.) An experimental study of several multidimensional, locally conservative, Eulerian-Lagrangian finite element methods for a semilinear parabolic equation, submitted, 2011.
3. (with M. Peszynska and R. E. Showalter) Numerical upscaled model of transport with non-separated scaes, XVIII International Conference on Water Resources, CMWR 2010, J. Carreta (Ed), Barcelona, 2010.
4. (with J. Douglas, Jr. and A. M. Spagnuolo) The Convergence of a multidimensional, locally conservative, Eulerian-Lagrangian finite element method for a semilinear parabolic equation, Math. Models Methods Appl. Sci., 20(2), pp. 315-348, 2010
5. (with M. Peszynska and R. E. Showalter) Homogenization of pseudoparabolic systems, Applicable Analysis, 88(9), pp. 1265-1282, 2009
6. (with J. E. Elkhoury et al.) Non-uniform particle size explains depth dependence in irreversible attachment during transport in porous media, manuscript, 2009
7. (with M. Peszynska) Numerical methods for unsaturated flow with dynamic capillary pressure in heterogeneous porous media, International Journal of Numerical Analysis and Modeling, 5, Supp., pp.126~149, 2008
8. A new nonconforming mixed finite element method for linear elasticity, Math. Models Methods Appl. Sci., 16(7), pp. 979-999, 2006
9. Nonconforming mixed finite element methods for llinear elasticity using rectangular elements in two and three dimensions, Calcolo, 42(2), pp. 115~133, 2005