Scholar
Nachiketa Mishra
Google Scholar ID: HgovxgQAAAAJ
IIITDM Kancheepuram
Citations & Impact
Citations
150
H-index
6
i10-index
5
Publications
20
Co-authors
14
list available
Publications
Resume
Background
- Currently working as an Assistant Professor in the Department of Mathematics at IIITDM Kancheepuram, Chennai, India.
- Research interests include the mathematical theory of homogenization for heterogeneous PDE models with applications in composite materials, porous media flows, and geophysical problems;
- Focuses on numerical solutions of multiscale models when microstructure geometry is complex;
- Works on efficient numerical linear algebra techniques—especially Krylov subspace methods and fast direct solvers—for large matrices arising from discretization via Fourier-Galerkin and Boundary Element Methods (BEM);
- Also interested in nonnegative matrix theory and spectral graph theory, particularly convergence and comparison theorems for stationary iterative methods for singular linear systems and graph bisection algorithms;
- Research includes higher-order methods for incompressible Navier-Stokes equations and linear/nonlinear convection-diffusion equations under non-trivial boundary conditions.
