3 papers
math.NA2026
Two Frameworks and their Fourth Order Implicit Schemes for Time Discretization of Maxwell's Equations
Archana Arya, Kaushik Kalyanaraman
Our work is about energy conserving fourth-order time discretizations of a three-field formulation of Maxwell's equations in conjunction with a spatial discretization using higher-…
math.NA2024
An Arbitrarily Higher-Order Time Implicit Scheme for Maxwell's Equations
Archana Arya, Kaushik Kalyanaraman
We propose an arbitrarily higher (even) order implicit leapfrog scheme for time discretization of a three-field formulation of Maxwell's equations. We use this in conjunction with…
math.NA2023
Energy Conserving Higher Order Mixed Finite Element Discretizations of Maxwell's Equations
Archana Arya, Kaushik Kalyanaraman
We study a system of Maxwell's equations that describes the time evolution of electromagnetic fields with an additional electric scalar variable to make the system amenable to a mi…