5 papers
Low-Frequency Stabilizations of the PMCHWT Equation for Dielectric and Conductive Media: On a Full-Wave Alternative to Eddy-Current Solvers
V. Giunzioni, A. Scazzola, A. Merlini +1
We propose here a novel stabilization strategy for the PMCHWT equation that cures its frequency and conductivity related instabilities and is obtained by leveraging quasi-Helmholtz…
On a High-Frequency Analysis of Some Relevant Integral Equations in Electromagnetics
V. Giunzioni, A. Merlini, F. P. Andriulli
In this contribution we analyze the spectral properties of some commonly used boundary integral operators in computational electromagnetics and of their discrete counterparts, high…
Linear-in-Complexity Computational Strategies for Modeling and Dosimetry at TeraHertz
Viviana Giunzioni, Giuseppe Ciacco, Clément Henry +2
This work presents a fast direct solver strategy allowing full-wave modeling and dosimetry at terahertz (THz) frequencies. The novel scheme leverages a preconditioned combined fiel…
High-order quasi-Helmholtz Projectors: Definition, Analyses, Algorithms
Johann Bourhis, Adrien Merlini, Francesco P. Andriulli
The accuracy of the electric field integral equation (EFIE) can be substantially improved using high-order discretizations. However, this equation suffers from ill-conditioning and…
On some Operator Filtering Strategies Based on Suitably Modified Green's Functions
Matteo E. Masciocchi, Ermanno Citraro, Alexandre Dély +3
Recent contributions showed the benefits of operator filtering for both preconditioning and fast solution strategies. While previous contributions leveraged laplacian-based filters…