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dc.creatorDomínguez Baguena, Víctores_ES
dc.creatorGanesh, M.es_ES
dc.creatorSayas, Francisco Javieres_ES
dc.description.abstractA natural medium for wave propagation comprises a coupled bounded heterogeneous region and an unbounded homogeneous free-space. Frequency-domain wave propagation models in the medium, such as the variable coefficient Helmholtz equation, include a faraway decay radiation condition (RC). It is desirable to develop algorithms that incorporate the full physics of the heterogeneous and unbounded medium wave propagation model, and avoid an approximation of the RC. In this work we first present and analyze an overlapping decomposition framework that is equivalent to the full-space heterogeneous-homogenous continuous model, governed by the Helmholtz equation with a spatially dependent refractive index and the RC. Our novel overlapping framework allows the user to choose two free boundaries, and gain the advantage of applying established high-order finite and boundary element methods (FEM and BEM) to simulate an equivalent coupled model. The coupled model comprises auxiliary interior bounded heterogeneous and exterior unbounded homogeneous Helmholtz problems. A smooth boundary can be chosen for simulating the exterior problem using a spectrally accurate BEM, and a simple boundary can be used to develop a high-order FEM for the interior problem. Thanks to the spectral accuracy of the exterior computational model, the resulting coupled system in the overlapping region is relatively very small. Using the decomposed equivalent framework, we develop a novel overlapping FEM-BEM algorithm for simulating the acoustic or electromagnetic wave propagation in two dimensions. Our FEM-BEM algorithm for the full-space model incorporates the RC exactly. Numerical experiments demonstrate the efficiency of the FEM-BEM approach for simulating smooth and non-smooth wave fields, with the latter induced by a complex heterogeneous medium and a discontinuous refractive index.en
dc.description.sponsorshipVíctor Domínguez thanks the support of the project MTM2017-83490-P. Francisco-Javier Sayas was partially supported by the NSF grant DMS-1818867.en
dc.format.extent32 p.
dc.relation.ispartofJournal of Computational Physics, 2020, 403, 109052en
dc.rights© 2018 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0en
dc.subjectWave propagationen
dc.subjectFinite/boundary element methodsen
dc.titleAn overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: formulation, analysis, algorithm, and simulationen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentUniversidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticases_ES
dc.contributor.departmentNafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Sailaeu
dc.contributor.departmentUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoa. InaMat - Institute for Advanced Materialses_ES
dc.rights.accessRightsAcceso embargado / Sarbidea bahitua dagoes
dc.type.versionVersión aceptada / Onetsi den bertsioaes

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© 2018 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0
Except where otherwise noted, this item's license is described as © 2018 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0