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.

Research Interests:

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

My research focuses on the mathematical and numerical analysis of PDEs. I am interested in modeling and analyzing natural phenomena by using mathematical tools. During my PhD, I have worked with different types of reaction-diffusion models in a heterogeneous medium. I established well-posedness and derived the homogenized macro models. One of the main novelties of my work is the proof of the well-posedness of the reaction-diffusion-dissolution-precipitation model with distinct diffusion coefficients. Recently, I have been working on the well-posedness and homogenization of the evolving interface problem by employing phase-field formulations. I became curious about accuracy while homogenizing the heterogeneous micromodel to improve numerical efficiency. That is why I chose to gain some experience in numerical analysis. My current postdoctoral project concerns the accuracy and efficiency of a newly introduced iterative solver for PDEs posed on circular domains with interface interactions. This iterative solver is a specific variant of the Schwarz domain decomposition method.

Crystal dissolution and precipitation in a porous medium

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