Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption

M Bonazzoli, V Dolean, I Graham, E Spence… - Mathematics of …, 2019 - ams.org
This paper rigorously analyses preconditioners for the time-harmonic Maxwell equations
with absorption, where the PDE is discretised using curl-conforming finite-element methods …

[HTML][HTML] Dual full-wave formulations with Radiant Electric Circuit Element boundary conditions—Application to monopole antenna modeling

G Ciuprina, D Ioan, RV Sabariego - Journal of Computational Science, 2023 - Elsevier
Abstract Electric Circuit Element (ECE) are special boundary conditions that enable a
natural coupling between electromagnetic devices and circuits. ECE can be generalized to …

Computing parametrized solutions for plasmonic nanogap structures

F Vidal-Codina, NC Nguyen, J Peraire - Journal of computational physics, 2018 - Elsevier
The interaction of electromagnetic waves with metallic nanostructures generates resonant
oscillations of the conduction-band electrons at the metal surface. These resonances can …

Uncertainty quantification for low-frequency, time-harmonic Maxwell equations with stochastic conductivity models

D Kamilis, N Polydorides - SIAM/ASA Journal on Uncertainty Quantification, 2018 - SIAM
We consider an uncertainty quantification (UQ) problem for the low-frequency, time-
harmonic Maxwell equations with conductivity that is modeled by a fixed layer and a …

Homogenization of time harmonic Maxwell equations: the effect of interfacial currents

Y Amirat, VV Shelukhin - Mathematical Methods in the Applied …, 2017 - Wiley Online Library
We consider the Maxwell equations for a composite material consisting of two phases and
enjoying a periodical structure in the presence of a time‐harmonic current source. We …

Proper Orthogonal Decomposition Strategy for Edge Finite Elements

A Sanfilippo, AMA Rodríguez, F Ballarin - PROCEEDINGS OF SIMAI …, 2021 - iris.unipa.it
H (curl, Ω). Our studies are focused on applying Reduced Basis (RB) methods to Edge finite
elements and verifying their effectiveness. In particular, we use Proper Orthogonal …

[PDF][PDF] Uncertainty Quantification for low-frequency Maxwell equations with stochastic conductivity models

D Kamilis - 2018 - researchgate.net
Uncertainty Quantification (UQ) has been an active area of research in recent years with a
wide range of applications in data and imaging sciences. In many problems, the source of …