3 citations · 3 across the 2 of their papers we have counts for
4 papers
A finite-element framework for a mimetic finite-difference discretization of Maxwell's equations
James H. Adler, Casey Cavanaugh, Xiaozhe Hu +1
Maxwell's equations are a system of partial differential equations that govern the laws of electromagnetic induction. We study a mimetic finite-difference (MFD) discretization of t…
Monolithic Multigrid for Magnetohydrodynamics
J. H. Adler, T. Benson, E. C. Cyr +3
The magnetohydrodynamics (MHD) equations model a wide range of plasma physics applications and are characterized by a nonlinear system of partial differential equations that strong…
First-order system least squares finite-elements for singularly perturbed reaction-diffusion equations
James H. Adler, Scott MacLachlan, Niall Madden
We propose a new first-order-system least squares (FOSLS) finite-element discretization for singularly perturbed reaction-diffusion equations. Solutions to such problems feature la…
Computing equilibrium states of cholesteric liquid crystals in elliptical channels with deflation algorithms
David B. Emerson, Patrick E. Farrell, James H. Adler +2
We study the problem of a cholesteric liquid crystal confined to an elliptical channel. The system is geometrically frustrated because the cholesteric prefers to adopt a uniform ra…