activity
20232026
most citedBoundary element methods for the magnetic field integral equation on polyhedra

1 citations · 1 across the 6 of their papers we have counts for

collaborators

8 papers

cs.RO2026

AeroEval: Staged Program and Execution Validation for AI-Generated Drone Missions

Kautuk Astu, Naina Rabha, Yogesh Simmhan

Large Language Models (LLMs) can generate drone programs from natural-language mission descriptions, but syntactically valid programs may still violate user intent, environmental c…

cs.CE2026

Quasi-Helmholtz Calderón Multiplicative Preconditioning for Higher-Order Global Multi-Trace Integral Equations

Cedric Münger, Alessandro Zuccotti, Van Chien Le +1

The paper presents a higher-order global multi-trace integral equation for time-harmonic electromagnetic scattering by composite objects. The higher-order multi-trace formulation i…

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 equati…

eess.SY2025

A Stable, Accurate, and Well-Conditioned Time-Domain PMCHWT Formulation

Van Chien Le, Cedric Münger, Francesco P. Andriulli +1

This paper introduces a new boundary element formulation for transient electromagnetic scattering by homogeneous dielectric objects, based on the time-domain PMCHWT equation. To ad…

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★ 1 cited

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.NA2023

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…

math.NA2023

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…