About Me

I am a learner with a keen interest in Applied Mathematics. These days I am working as a Postdoctoral researcher at the Institute of Geometry and Practical Mathematics, RWTH Aachen University, Germany. I am working on the project "Mathematical analysis of domain decomposition methods for the efficient solution of continuum solvation models" under the mentorship of Prof. Dr. Arnold Reusken. Prior to that, I completed my PhD at the Department of Mathematics, Indian Institute of Technology Kharagpur, India under the supervision of Prof. Dr. Hari Shankar Mahato. I wrote my masters thesis under the guidance of Prof. Dr. Dhirendra Bahuguna at the Department of Mathematics, Indian Institute of Technolgy Kanpur, India.

NEWS

10.03.2026: I gave a talk at the conference "Mathematical Fluid Mechanics and Related Topics" on the occasion of Reinhard Farwig's 70th birthday at the University of Regensburg. I talk about my recent work on the well-posedness and homogenization of the phase field model describing the evolution of the crystal grain boundary in a porous medium. Preprint on this is coming soon!
29.10.2024: I talked about my PhD research work at the University of Stuttgart.
19.04.2024: I gave an invited talk at the "Applied Mathematics Symposium" organized by Vikas Krishnamurthy (IIT Hyderabad), Satyajit Pramanik(IIT Guwahati), and Sanghasri Mukhopadhyay (VIT Vellore). Many thanks to them.
12.04.2024: I defended my PhD Thesis, and so now I am officially "Dr. Nibedita Ghosh"!
01.11.2023: I joined RWTH Aachen University as a Postdoctoral Researcher at the Institute of Geometry and Practical Mathematics. My position is funded by SFB 1481: Sparsity and Singular Structure.

My research is focused mainly on

Multiscale Modelling
Analysis of PDEs
Variational Methods
Porous Media Flow
Homogenization Theory
Moving Interface Problems
Numerical Simulation of PDEs
Schwarz domain decomposition method

In my PhD, I worked on modeling and studying natural phenomena such as groundwater flow, concrete carbonation, oil reservoir flow, etc to name a few. However, these models are not well suited for numerical simulations due to their heterogeneity that's why we upscale the model from the heterogeneous domain to a homogeneous one by applying some mathematical techniques.

Presently, I am working on the mathematical analysis of the "Inexact ddCOSMO" method. In brief, We work on the overlapping circular structure and decompose the global domain and problem into subdomains and subproblems. We solve the subproblems approximately and finally combine them to get the global solution.

COSMO (My current point of interest!)

Contact

I am always happy to talk about my research. You can connect me through the email/links given below.

Email: nghosh.rwth@gmail.com, ghosh@igpm.rwth-aachen.de

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If you want to know more about me: Download CV