Local strategies for improving the conditioning of the plane-wave Ultra-Weak Variational Formulation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Journal of Computational Physics Year : 2021

Local strategies for improving the conditioning of the plane-wave Ultra-Weak Variational Formulation

Abstract

Element-wise techniques based on SVD or QR Decomposition completely get rid of the usual ill-conditioning inherent to the plane-wave discretizations of the Ultra-Weak Variational Formulation (UWVF) for the Helmholtz equation. Associated preconditioning strategies lead to very low condition numbers of the corresponding linear system matrices, without any limitation on the number of plane waves per element. In addition, some of these procedures have the advantage of considerably reducing the size of the final system to be solved without altering the accuracy of the numerical solution.
Fichier principal
Vignette du fichier
jcomp-d-20-01582.pdf (438.74 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03235684 , version 1 (25-05-2021)

Identifiers

Cite

Hélène Barucq, Abderrahmane Bendali, Julien Diaz, Sébastien Tordeux. Local strategies for improving the conditioning of the plane-wave Ultra-Weak Variational Formulation. Journal of Computational Physics, 2021, 441, pp.110449. ⟨10.1016/j.jcp.2021.110449⟩. ⟨hal-03235684⟩
188 View
66 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More