My research interests include:
Numerical Solution of Partial Differential Equations
Spectral/hp Element Methods
Fractal Geometry
Parallel/Scientific Computing
More specifically, I am working on (in order of preference)
Singularities in Elliptic Boundary Value Problems
Elliptic Boundary Layer Problems
Designing fast, parallel and scalable algorithms to compute fractal dimension(s) of very large natural objects
Elliptic Problems on Perforated Domains