Computing numerically the Green's function of the half-plane Helmholtz operator with impedance boundary conditions

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dc.contributor.authorDuran, Mario
dc.contributor.authorHein, Ricardo
dc.contributor.authorNedelec, Jean-Claude
dc.date.accessioned2025-01-21T01:05:27Z
dc.date.available2025-01-21T01:05:27Z
dc.date.issued2007
dc.description.abstractIn this article we compute numerically the Green's function of the half-plane Helmholtz operator with impedance boundary conditions. A compactly perturbed half-plane Helmholtz problem is used to motivate this calculation, by treating it through integral equation techniques. These require the knowledge of the calculated Green's function, and lead to a boundary element discretization. The Green's function is computed using the inverse Fourier operator of its spectral transform, applying an inverse FFT for the regular part, and removing the singularities analytically. Finally, some numerical results for the Green's function and for a benchmark resonance problem are shown.
dc.fuente.origenWOS
dc.identifier.doi10.1007/s00211-007-0087-9
dc.identifier.eissn0945-3245
dc.identifier.issn0029-599X
dc.identifier.urihttps://doi.org/10.1007/s00211-007-0087-9
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/95924
dc.identifier.wosidWOS:000248872000004
dc.issue.numero2
dc.language.isoen
dc.pagina.final314
dc.pagina.inicio295
dc.revistaNumerische mathematik
dc.rightsacceso restringido
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleComputing numerically the Green's function of the half-plane Helmholtz operator with impedance boundary conditions
dc.typeartículo
dc.volumen107
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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