Research Interests
My research interests focus on the numerical analysis and simulation of partial differential equations (PDEs), with particular emphasis on the following areas:
- Finite Element Methods (FEM) and Virtual Element Methods (VEM)
- Arbitrary-order Polytopal Methods for PDEs
- Scientific programming for high-performance computations
- Nonlinear wave propagation models
- Simulation of modern electrochemical and electrolyte systems
Postdoctoral Research: Since June 2024, I am a postdoctoral research fellow at the Department of Mathematics, SISSA, Trieste, Italy, focusing on the development of Virtual Element Methods for multiphysics PDEs.
Ph.D.: I was awarded my Ph.D. in May 2024 from the Department of Mathematics, Indian Institute of Technology Roorkee, India, where my research focused on the numerical approximation of nonlinear PDEs using Finite Element Methods.
Research Visit: During my Ph.D., I spent six months (Aug 2023 – Jan 2024) as a research visitor at the Department of Mathematics, RWTH Aachen University, Germany, supported by the Advanced Research Opportunities Program (AROP).