Title :

Low-rank Compression Techniques in Integral Methods for Eddy Currents Problems

Author(s) :

Vacalebre, Antonino [Auteur]
Università degli Studi di Udine - University of Udine [Italie]
Pitassi, Silvano [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Specogna, Ruben [Auteur]
Università degli Studi di Udine - University of Udine [Italie]

Journal title :

Computer Physics Communications

Pages :

108756

Publisher :

Elsevier

Publication date :

2023-08

ISSN :

0010-4655

English keyword(s) :

eddy current
integral methods
electric field integral equation
low-rank approximation
fast multipole method
matrix factorization

HAL domain(s) :

Sciences de l'ingénieur [physics]/Electromagnétisme

English abstract : [en]

Volume integral methods for the solution of eddy current problems are very appealing in practice since they require meshing only the conducting regions. However, they require the assembly and storage of a dense stiffness ...
Show more >Volume integral methods for the solution of eddy current problems are very appealing in practice since they require meshing only the conducting regions. However, they require the assembly and storage of a dense stiffness matrix. With the objective of cutting down assembly time and memory occupation, low-rankapproximation techniques like the Adaptive Cross Approximation (ACA) have been considered a major breakthrough. Recently, the VINCO framework has been introduced to reduce significantly memory occupation and computational time thanks to a novel factorization of the dense stiffness matrix. The aim of this paper is introducing a new matrix compression technique enabled by the VINCO framework. We compare the performance of VINCO framework approaches with state-of-the-art alternatives in terms of memory occupation,computational time and accuracy by solving benchmark eddy current problems at increasing mesh sizes; the comparisons are carried out using both direct and iterative solvers. The results clearly indicate that the so-called VINCO-FAIME approach which exploits the Fast Multipole Method (FMM) has the best performance.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL