I am currently a Postdoctoral fellow at the Department of Mathematics at Imperial College London. Before joining this position, I was a Postdoctoral fellow at the University of Konstanz and theĀ Indian Institute of Science, Bangalore. I pursued my doctoral degree at the Indian Institute of Technology Guwahati in the Department of Mathematics.
The core topic of my research is to develop and analyse computational techniques (Finite difference/Finite element methods) for partial differential equations. In the past, we developed and analysed different robust numerical techniques for singularly perturbed systems of multi-scale nature. Also, contributed to designing the operator-splitting techniques for multidimensional radiative transfer equations. Recently, we have implemented the idea of Unfitted FEM (cut finite element methods) for solving partial differential equations in moving domains.
Currently, we are developing a data assimilation method using advanced particle filters (ensemble-based methods for blending data and models rigorously) that incorporate optimisation algorithms to "nudge" the ensemble members towards the data. In other project, I am developing compatible finite element method for numerical weather prediction models.