| Title: |
Low-Frequency Stabilizations of the PMCHWT Equation for Dielectric and Conductive Media: On a Full-Wave Alternative to Eddy-Current Solvers |
| Authors: |
Giunzioni, Viviana; Scazzola, Alberto; Merlini, Adrien; Andriulli, Francesco, P |
| Contributors: |
Politecnico di Torino = Polytechnic of Turin (Polito); Département Micro-Ondes (IMT Atlantique - MO); IMT Atlantique (IMT Atlantique); Institut Mines-Télécom Paris (IMT)-Institut Mines-Télécom Paris (IMT); Equipe PIM (Lab-STICC_PIM); Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance (Lab-STICC); École Nationale d'Ingénieurs de Brest (ENIB); Université de Brest (UBO EPE)-Institut National Polytechnique de Bretagne (Bretagne INP)-Université de Brest (UBO EPE)-Institut National Polytechnique de Bretagne (Bretagne INP)-Université de Bretagne Sud (UBS)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique); Institut Mines-Télécom Paris (IMT)-Institut Mines-Télécom Paris (IMT)-École Nationale Supérieure de Techniques Avancées (ENSTA); Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-École Nationale d'Ingénieurs de Brest (ENIB); Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris); This work was supported by the European Innovation Council (EIC) through the European Union’s Horizon Europe research Programme under Grant 101046748 (Project CEREBRO) and by the European Union – Next Generation EU within the PNRR project “Multiscale modeling and Engineering Applications” of the Italian National Center for HPC, Big Data and Quantum Computing (Spoke 6) – PNRR M4C2, Investimento 1.4 - Avviso n. 3138 del 16/12/2021 - CN00000013 National Centre for HPC, Big Data and Quantum Computing (HPC) - CUP E13C22000990001. |
| Source: |
ISSN: 0018-926X ; IEEE Transactions on Antennas and Propagation ; https://hal.science/hal-05087023 ; IEEE Transactions on Antennas and Propagation, In press, ⟨10.1109/tap.2025.3558603⟩. |
| Publisher Information: |
CCSD; Institute of Electrical and Electronics Engineers |
| Publication Year: |
2025 |
| Collection: |
Université de Bretagne Occidentale: HAL |
| Subject Terms: |
Eddy currents; preconditioning; full-wave; multiply connected; quasi-Helmholtz decomposition; [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism; [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] |
| Description: |
International audience ; 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 projectors. The resulting formulation is well-conditioned in the entire low-frequency regime, including the eddy-current one, and can be applied to arbitrarily penetrable materials, ranging from dielectric to conductive ones. In addition, by choosing the rescaling coefficients of the quasi-Helmholtz components appropriately, we prevent the typical loss of accuracy occurring at low frequency in the presence of inductive and capacitive type magnetic frill excitations, commonly used in circuit modeling to impose a potential difference. Finally, because it relies on quasi-Helmholtz projectors instead of the standard Loop-Star decomposition, our formulation can be used for modeling multiply connected geometries, without incurring the computational overhead caused by the search for the global loops of the structure, while also being compatible with most fast solvers. The efficacy of the proposed preconditioning scheme when applied to both simply and multiply connected geometries is corroborated by numerical examples. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1109/tap.2025.3558603 |
| Availability: |
https://hal.science/hal-05087023; https://hal.science/hal-05087023v1/document; https://hal.science/hal-05087023v1/file/Low-Frequency_Stabilizations_of_the_PMCHWT_Equation_for_Dielectric_and_Conductive_Media_On_a_Full-Wave_Alternative_to_Eddy-Current_Solvers.pdf; https://doi.org/10.1109/tap.2025.3558603 |
| Rights: |
http://creativecommons.org/licenses/by/ ; info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.624BC100 |
| Database: |
BASE |