Research in computational science towards the completion of Ph.D. thesis. Development and application of
optimization-based algorithms for preserving shape and properties of polynomial projections in multiple dimensions
and various application areas.
Application-specific modeling simulations in multiple dimensions. Contributing to Nektar++, a C++ based spectral/HP element framework for nite elements.
Masters research in curvilinear mesh refinement using Matern RBF interpolation to generate and refine curvilinear meshes for efficient modeling of complex domains. My primary research interests lie in computational science, finite-element simulations and analysis, and computational mathematics.