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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.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
Calderón Strategies for the Convolution Quadrature Time Domain Electric Field Integral Equation
Pierrick Cordel, Alexandre Dély, Adrien Merlini +1
In this work, we introduce new integral formulations based on the convolution quadrature method for the time-domain modeling of perfectly electrically conducting scatterers that ov…