activity
20242026
collaborators
Showing math.NAShow all

5 papers · 1 filter

math.NA2026

Multitrace Müller Boundary Integral Equation for Electromagnetic Scattering by Composite Objects

Van Chien Le, Kristof Cools

This paper introduces a boundary integral equation for time-harmonic electromagnetic scattering by composite dielectric objects. The formulation extends the classical Müller equat…

math.NA2025

On the Late-Time Instability of MOT solution to the Time-Domain PMCHWT Equation

Van Chien Le, Viviana Giunzioni, Pierrick Cordel +2

This paper investigates the late-time instability of marching-on-in-time solution to the time-domain PMCHWT equation. The stability analysis identifies the static solenoidal nullsp…

math.NA2024

An operator preconditioned combined field integral equation for electromagnetic scattering

Van Chien Le, Kristof Cools

This paper aims to address two issues of integral equations for the scattering of time-harmonic electromagnetic waves by a perfect electric conductor with Lipschitz continuous boun…

math.NA2024

Boundary element methods for the magnetic field integral equation on polyhedra

Van Chien Le, Kristof Cools

This paper provides a rigorous analysis of boundary element methods for the magnetic field integral equation on Lipschitz polyhedra. The magnetic field integral equation is widely…

math.NA2024

A stabilized time-domain combined field integral equation using the quasi-Helmholtz projectors

Van Chien Le, Pierrick Cordel, Francesco P. Andriulli +1

This paper introduces a time-domain combined field integral equation for electromagnetic scattering by a perfect electric conductor. The new equation is obtained by leveraging the…