The frequency-domain wave propagation problem is notoriously difficult to solve through iterative methods because it leads to a symmetric but indefinite linear system. For this reason, direct methods are usually employed at the expense of great memory usage. Convergence of iterative methods, however, could be obtained by regularizing the wave equation. We introduce such regularization in discrete geometric approach framework on polyhedral grids. Moreover, we extend the regularization to the impedance boundary condition.

A Geometric Frequency-Domain Wave Propagation Formulation for Fast Convergence of Iterative Solvers / Cicuttin, M.; Codecasa, L.; Specogna, R.; Trevisan, F.. - In: IEEE TRANSACTIONS ON MAGNETICS. - ISSN 0018-9464. - ELETTRONICO. - 53:6(2017), pp. 1-4. [10.1109/TMAG.2017.2679341]

A Geometric Frequency-Domain Wave Propagation Formulation for Fast Convergence of Iterative Solvers

Cicuttin M.;
2017

Abstract

The frequency-domain wave propagation problem is notoriously difficult to solve through iterative methods because it leads to a symmetric but indefinite linear system. For this reason, direct methods are usually employed at the expense of great memory usage. Convergence of iterative methods, however, could be obtained by regularizing the wave equation. We introduce such regularization in discrete geometric approach framework on polyhedral grids. Moreover, we extend the regularization to the impedance boundary condition.
File in questo prodotto:
File Dimensione Formato  
A geometric frequency-domain wave propagation formulation for fast convergence of iterative solver.pdf

non disponibili

Tipologia: 2a Post-print versione editoriale / Version of Record
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 1.17 MB
Formato Adobe PDF
1.17 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2978970