33 citations · 68 across the 8 of their papers we have counts for
5 papers · 1 filter
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-…
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…
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…
Numerical Experiments for Darcy Flow on a Surface Using Mixed Exterior Calculus Methods
Anil N. Hirani, Kaushik Kalyanaraman
There are very few results on mixed finite element methods on surfaces. A theory for the study of such methods was given recently by Holst and Stern, using a variational crimes fra…
Least Squares Ranking on Graphs
Anil N. Hirani, Kaushik Kalyanaraman, Seth Watts
Given a set of alternatives to be ranked, and some pairwise comparison data, ranking is a least squares computation on a graph. The vertices are the alternatives, and the edge valu…