Work

On the Regularization of the High Order Time Domain EFIE with Quasi-Helmholtz Projectors

Year: 2024

Type: conference-paper

Abstract: In this work, we present a quasi-Helmholtz projector-based preconditioning and stabilization of the time domain electric field integral equation when discretized with high-order basis functions and high-order convolution quadrature schemes. The proposed approach effectively cures the ill-conditioning at large time steps that the original scheme suffers from along with the late time instabilities caused by the static solenoidal nullspace. This stabilization is achieved through a generalization of the quasi-Helmholtz projectors adapted to the high-order space basis functions and the high-order implicit schemes used by the convolution quadrature method.

Source: Digest - IEEE Antennas and Propagation Society. International Symposium

DOI: 10.1109/ap-s/inc-usnc-ursi52054.2024.10686295

Authors: Pierrick Cordel, Johann Bourhis, Damiano Franzò, Adrien Merlini, Francesco P. Andriulli

Institutions: Politecnico di Torino, IMT Atlantique

Language: English

Topic: Electromagnetic Scattering and Analysis

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Horizon 2020 Framework Programme, HORIZON EUROPE Framework Programme, HORIZON EUROPE European Innovation Council

Awards: COMPutationally empowered Electromagnetic industrial TalEnts, an electric Contrast medium for computationally intensive Electroencephalographies for high REsolution BRain imaging withOut skull trepanation, G5083630305, G8698350088