Title of the talk: "Recent Advances in Meshfree Methods & its Application to Cryosurgery Problems"

Date , Time & Venue: 18 August 2025  at 05 PM on Seminar Hall, Dept. of Mathematics

Abstract: Meshfree methods have emerged as powerful numerical techniques that overcome the limitations of traditional mesh-based approaches, particularly in solving complex problems involving large deformations, moving boundaries, and fracture mechanics. Recent advances in meshfree formulations, such as the Element-Free Galerkin (EFG) method, Smoothed particle hydrodynamics (SPH), and Meshless local Petrov Galerkin (MLPG), etc.,have significantly improved accuracy, computational efficiency, and adaptability in biomedical simulations. One of the promising areas of application is in cryosurgery, a minimally invasive technique that destroys diseased tissues through controlled freezing. Accurate prediction of temperature distribution, ice-ball formation, and thermal damage to surrounding healthy tissues is critical for effective treatment planning. Meshfree methods provide flexibility in modeling evolving freeze fronts and irregular geometries of biological tissues, where conventional finite element and finite difference methods often encounter difficulties. This work highlights recent developments in meshfree approaches, their numerical advantages, and their specific applications to cryosurgery problems, with emphasis on improved computational efficiency and accuracy with clinical decision-making tools.

About the Speaker: Dr. Surabhi Nishad is an Assistant Professor (Contractual) in the Department of Applied Sciences at NIT Delhi. She completed her B.Sc. (Hons.) in mathematics from BHU, M.Sc. (Mathematics) from IIT Kanpur and Ph.D. from IIT Roorkee in 2024 in the field of computational fluid dynamics entitled "Hybrid Meshfree Implementation to Some Problems of Flow and Heat Transfer in Nanofluids" and her research interests include hybrid meshfree methods, fluid flow analysis & heat transfer in nanofluids.