Research Expertise:
Inverse Problems & Optimization | Modeling & Simulation | Numerical Analysis

My areas of research are in computational, applied mathematics, and engineering applications. In particular, my research interests include inverse problems for partial differential equations, optimization, numerical analysis, mathematical modeling, and applications in nondestructive testing, subsurface imaging, and medical imaging. I have published more than 30 papers in the following areas: (1) Modeling and inverse problems for the heat equations and their application in the detection and characterization of buried objects from infrared images; (2) Coefficient and shape reconstruction problems in time-domain and frequency-domain inverse scattering theory of wave and their application in the detection of airborne, through-wall and buried objects using radar measurements; (3) Evaluation of the electrical conductivity and magnetic permeability of metals from alternating current potential drop measurements. My current research projects include globally convergent inverse methods for coefficient identification problems for partial differential equations.

Member of:
Society for Industrial and Applied Mathematics (SIAM, http://www.siam.org/)