Analysis and application of an overlapped FEM-BEM for wave propagation in unbounded and heterogeneous media

Domínguez Baguena, Víctor; Ganesh, M.

Publication:
Analysis and application of an overlapped FEM-BEM for wave propagation in unbounded and heterogeneous media

dc.contributor.author	Domínguez Baguena, Víctor
dc.contributor.author	Ganesh, M.
dc.contributor.department	Estatistika, Informatika eta Matematika	eu
dc.contributor.department	Institute for Advanced Materials and Mathematics - INAMAT2	en
dc.contributor.department	Estadística, Informática y Matemáticas	es_ES
dc.date.accessioned	2022-02-04T12:24:58Z
dc.date.available	2023-08-30T23:00:09Z
dc.date.issued	2022
dc.description.abstract	An overlapped continuous model framework, for the Helmholtz wave propagation problem in unbounded regions comprising bounded heterogeneous media, was recently introduced and analyzed by the authors (2020) [10]. The continuous Helmholtz system incorporates a radiation condition (RC) and our equivalent hybrid framework facilitates application of widely used finite element methods (FEM) and boundary element methods (BEM), and the resulting discrete systems retain the RC exactly. The FEM and BEM discretizations, respectively, applied to the designed interior heterogeneous and exterior homogeneous media Helmholtz systems include the FEM and BEM solutions matching in artificial interface domains, and allow for computations of the exact ansatz based far-fields. In this article we present rigorous numerical analysis of a discrete two-dimensional FEM-BEM overlapped coupling implementation of the algorithm. We also demonstrate the efficiency of our discrete FEM-BEM framework and analysis using numerical experiments, including applications to non-convex heterogeneous multiple particle Janus configurations. Simulations of the far-field induced differential scattering cross sections (DSCS) of heterogeneous configurations and orientation-averaged (OA) counterparts are important for several applications, including inverse wave problems. Our robust FEM-BEM framework facilitates computations of such quantities of interest, without boundedness or homogeneity or shape restrictions on the wave propagation model. © 2021 IMACS	en
dc.description.sponsorship	The first author (Domínguez) is supported by the project MTM2017-83490-P. The second author (Ganesh) gratefully acknowledges the support of the Simons Foundation .	en
dc.embargo.lift	2023-08-30
dc.embargo.terms	2023-08-30
dc.format.extent	43 p.
dc.format.mimetype	application/pdf	en
dc.identifier.doi	10.1016/j.apnum.2021.08.015
dc.identifier.issn	0168-9274
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/42109
dc.language.iso	eng	en
dc.publisher	Elsevier
dc.relation.ispartof	Applied Numerical Mathematics, 171, January 2022, Pages 76-105
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83490-P/ES/	en
dc.relation.publisherversion	https://doi.org/10.1016/j.apnum.2021.08.015
dc.rights	© 2021 IMACS. Published by Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0	en
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject	Finite element methods	en
dc.subject	Helmholtz	en
dc.subject	Heterogeneous	en
dc.subject	Integral equations	en
dc.subject	Janus configurations	en
dc.subject	Nyström boundary element methods	en
dc.subject	Unbounded	en
dc.subject	Wave propagation	en
dc.title	Analysis and application of an overlapped FEM-BEM for wave propagation in unbounded and heterogeneous media	en
dc.type	info:eu-repo/semantics/article
dc.type.version	info:eu-repo/semantics/acceptedVersion	en
dc.type.version	Versión aceptada / Onetsi den bertsioa	es
dspace.entity.type	Publication
relation.isAuthorOfPublication	936e3442-4319-4492-9399-5116a12d653f
relation.isAuthorOfPublication.latestForDiscovery	936e3442-4319-4492-9399-5116a12d653f