Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces

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dc.contributor.authorLabarca, Ignacio
dc.contributor.authorFaria, Luiz M.
dc.contributor.authorPerez-Arancibia, Carlos
dc.date.accessioned2025-01-23T21:11:33Z
dc.date.available2025-01-23T21:11:33Z
dc.date.issued2019
dc.description.abstractThis paper presents a class of boundary integral equation methods for the numerical solution of acoustic and electromagnetic time-domain scattering problems in the presence of unbounded penetrable interfaces in two spatial dimensions. The proposed methodology relies on convolution quadrature (CQ) schemes and the recently introduced windowed Green function (WGF) method. As in standard time-domain scattering from bounded obstacles, a CQ method of the user's choice is used to transform the problem into a finite number of (complex) frequency-domain problems posed, in our case, on the domains containing unbounded penetrable interfaces. Each one of the frequency-domain transmission problems is then formulated as a second-kind integral equation that is effectively reduced to a bounded interface by means of the WGF method-which introduces errors that decrease super-algebraically fast as the window size increases. The resulting windowed integral equations can then be solved by means of any (accelerated or unaccelerated) off-the-shelf Nystrom or boundary element Helmholtz integral equation solvers capable of handling complex wavenumbers with large imaginary part. A high-order Nystrom method based on Alpert's quadrature rules is used here. A variety of CQ schemes and numerical examples, including wave propagation in open waveguides as well as scattering from multiple layered media, demonstrate the capabilities of the proposed approach.
dc.fuente.origenWOS
dc.identifier.doi10.1098/rspa.2019.0029
dc.identifier.eissn1471-2946
dc.identifier.issn1364-5021
dc.identifier.urihttps://doi.org/10.1098/rspa.2019.0029
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/100909
dc.identifier.wosidWOS:000479129300010
dc.issue.numero2227
dc.language.isoen
dc.revistaProceedings of the royal society a-mathematical physical and engineering sciences
dc.rightsacceso restringido
dc.subjecttime-domain scattering
dc.subjectboundary integral equations
dc.subjectlayered media
dc.subjectwaveguides
dc.titleConvolution quadrature methods for time-domain scattering from unbounded penetrable interfaces
dc.typeartículo
dc.volumen475
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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