Frequency-robust preconditioning of boundary integral equations for acoustic transmission

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dc.contributor.authorvan 't Wout, Elwin
dc.contributor.authorHaqshenas, Seyyed R.
dc.contributor.authorGelat, Pierre
dc.contributor.authorBetcke, Timo
dc.contributor.authorSaffari, Nader
dc.date.accessioned2025-01-20T21:06:53Z
dc.date.available2025-01-20T21:06:53Z
dc.date.issued2022
dc.description.abstractThe scattering and transmission of harmonic acoustic waves at a penetrable material are commonly modelled by a set of Helmholtz equations. This system of partial differential equations can be rewritten into boundary integral equations defined at the surface of the objects and solved with the boundary element method (BEM). High frequencies or geometrical details require a fine surface mesh, which increases the number of degrees of freedom in the weak formulation. Then, matrix compression techniques need to be combined with iterative linear solvers to limit the computational footprint. Moreover, the convergence of the iterative linear solvers often depends on the frequency of the wave field and the objects' characteristic size. Here, the robust PMCHWT formulation is used to solve the acoustic transmission problem. An operator preconditioner based on on surface radiation conditions (OSRC) is designed that yields frequency-robust convergence characteristics. Computational benchmarks compare the performance of this novel preconditioned formulation with other preconditioners and boundary integral formulations. The OSRC preconditioned PMCHWT formulation effectively simulates large-scale problems of engineering interest, such as focused ultrasound treatment of osteoid osteoma.(c) 2022 Elsevier Inc. All rights reserved.
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jcp.2022.111229
dc.identifier.eissn1090-2716
dc.identifier.issn0021-9991
dc.identifier.urihttps://doi.org/10.1016/j.jcp.2022.111229
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/93378
dc.identifier.wosidWOS:000800031600011
dc.language.isoen
dc.revistaJournal of computational physics
dc.rightsacceso restringido
dc.subjectComputational acoustics
dc.subjectBoundary element method
dc.subjectPreconditioning
dc.subjectOn-surface radiation conditions
dc.subjectFocused ultrasound
dc.titleFrequency-robust preconditioning of boundary integral equations for acoustic transmission
dc.typeartículo
dc.volumen462
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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