معرفی
Jai Tushar is a Research Fellow at the School of Mathematics, Monash University. His research focuses on numerical analysis, PDE-constrained optimization, and polytopal finite element methods. He holds a Ph.D. in Mathematics from Birla Institute of Technology and Science, where his thesis explored Virtual Element Methods for optimal control problems governed by diffusion equations. Before joining Monash, he served as a Research Associate at the Indian Institute of Technology Roorkee (Dec 2022 – Aug 2023).
Research Interests: Tushar’s work emphasizes developing robust numerical methods for interface problems, optimal control systems, and fluid dynamics. His recent contributions include advancements in virtual element methods (VEM) for elliptic and diffusion interface problems, as well as BDDC preconditioners for polytopal discretizations. He also investigates doubly diffusive flows and Darcy flow control, blending theoretical analysis with computational implementations.
Publications: His articles highlight trends in polytopal mesh adaptivity, convergence analysis of VEM, and stability studies in predator-prey models. Notable contributions include theoretical studies on Lipschitz domains and practical numerical simulations for ecological systems like Keoladeo National Park.
Grants & Advising: No specific grants or student advisement roles are documented. However, his academic trajectory suggests active participation in collaborative research projects.
