Research Interests

My research interests lie in the areas of computational solid mechanics and applied mathematics, with recent emphasis on new methods development for failure modeling in materials and in ab initio electronic-structure (Kohn-Sham equations of DFT) calculations. I have been involved in the development of meshfree (natural neighbor) and partition of unity finite element methods. Other areas of interest and current research emphasis include computational geometry, level set and fast marching methods, information theory, Bayesian theory of probability, maximum entropy methods in mechanics, convex optimization and variational analysis, stochastic PDEs and uncertainty quantification, and parallel computing.