Area of research
Computational Mechanics · Mechanics of Materials
Research interest
Research interests include Numerical methods in engineering, Advanced Numerical Methods in Computational Mathematics, Electromagnetic Simulation and Numerical Methods, and Lattice Boltzmann Simulation Studies.
MGM: A Meshfree Geometric Multilevel Method for Systems Arising from Elliptic Equations on Point Cloud Surfaces
Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection–diffusion equations
Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions
RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for solving PDEs on surfaces
3-D FDTD Modeling of Electromagnetic Wave Propagation in Magnetized Plasma Requiring Singular Updates to the Current Density Equation
A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces
The overlapped radial basis function-finite difference (RBF-FD) method: A generalization of RBF-FD
A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction–Diffusion Equations on Surfaces
A study of different modeling choices for simulating platelets within the immersed boundary method