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 | Dimensione | Formato | |
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https://hdl.handle.net/11583/2978970