38 citations · 63 across the 9 of their papers we have counts for
10 papers
Structure Preserving High-Order FDTD Methods for the Nonlinear Kerr-Debye Model with Lorentz Dispersion
Emmanuel E. Oguadimma, Vrushali A. Bokil, Nathan L. Gibson
We develop and analyze several families of fully discrete, high-order methods in the finite difference time domain (FDTD) framework for a nonlinear dispersive electromagnetic model…
The virtual element method for the coupled system of magneto-hydrodynamics
Sebastian Naranjo-Alvarez, Vrushali Bokil, Vitaliy Gyrya +1
In this work, we review the framework of the Virtual Element Method (VEM) for a model in magneto-hydrodynamics (MHD), that incorporates a coupling between electromagnetics and flui…
The virtual element method for resistive magnetohydrodynamics
S. Naranjo Alvarez, V. A. Bokil, V. Gyrya +1
We present a virtual element method (VEM) for the numerical approximation of the electromagnetics subsystem of the resistive magnetohydrodynamics (MHD) model in two spatial dimensi…
A Fully Fourth Order Accurate Energy Stable Finite Difference Method for Maxwell's Equations in Metamaterials
Puttha Sakkaplangkul, Vrushali Bokil, Camille Carvalho
We present a novel fully fourth order in time and space {finite difference method for the time domain Maxwell's equations} in metamaterials. We consider a Drude metamaterial model…
Dispersion Analysis of Finite Difference and Discontinuous Galerkin Schemes for Maxwell's Equations in Linear Lorentz Media
Yan Jiang, Puttha Sakkaplangkul, Vrushali A. Bokil +2
In this paper, we consider Maxwell's equations in linear dispersive media described by a single-pole Lorentz model for electronic polarization. We study two classes of commonly use…
Energy Stable Discontinuous Galerkin Methods for Maxwell's Equations in Nonlinear Optical Media
Vrushali A. Bokil, Yingda Cheng, Yan Jiang +1
The propagation of electromagnetic waves in general media is modeled by the time-dependent Maxwell's partial differential equations (PDEs), coupled with constitutive laws that desc…