My primary interests are numerical and computational mathematics: Numerical P.D.E., Numerical Analysis, Computational Science, and Modeling and Simulation of Complex Coupled Problems.

I am particularly interested in complex coupled phenomena, that is, mathematical models of physical systems (or physically motivated problems) which are governed by partial differential equations and which involve multiple components, complex physics or multi-physics, as well as complex, or coupled domains, or multiple scales (multi-scales). Complex coupled phenomenon also often exhibit nonlinearities and strong interactions between the governing equations.

This page is still under construction. Details are forthcoming (in the meantime, I am listing some research projects I am, or have been involved in, and funding agencies which supported the project).

 

Poroelasticity

This research has been partially supported by the NSF (National Science Foundation) and by the USGS (US Geological Survey).

 

Mathematical modeling of woven fabrics

This research has been partially supported by the Auburn University Office of the Vice President for Research.

 

Magnetohydrodynamics

This research has been partially supported by the NSF (National Science Foundation) and by the DOE (Department of Energy) EPSCoR program.

 

Numerical approximation of solutions of p.d.e. posed on surfaces

 

Modeling of polymeric membrane ion-selective electrodes

This research has been partially supported by the NIH (National Institutes of Health).