Boundary integral equation analysis on the sphere

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dc.contributor.authorVico Bondía, Felipees_ES
dc.contributor.authorGreengard, Lesliees_ES
dc.contributor.authorGimbutas, Zydrunases_ES
dc.contributor.funderMinisterio de Ciencia e Innovaciónes_ES
dc.contributor.funderU.S. Department of Defensees_ES
dc.contributor.funderAir Force Office of Scientific Researches_ES
dc.contributor.funderU.S. Department of Energyes_ES
dc.date.accessioned2015-10-01T16:22:22Z
dc.date.available2015-10-01T16:22:22Z
dc.date.issued2014-11
dc.description.abstractWe present a systematic analysis of the integral operators of potential theory that arise when solving the Helmholtz or Maxwell equations in the exterior (or interior) of a sphere in the frequency domain. After obtaining expressions for the signatures of layer potentials in the spherical harmonic or vector spherical harmonic basis, we turn to a consideration of various integral equations that have been proposed in the literature for problems of acoustic and electromagnetic scattering. The selection of certain parameters in combined field and Calderon-preconditioned formulations is shown to have a significant impact on condition number, extending earlier work by Kress and others.es_ES
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationVico Bondía, F.; Greengard, L.; Gimbutas, Z. (2014). Boundary integral equation analysis on the sphere. Numerische Mathematik. 128(3):463-487. https://doi.org/10.1007/s00211-014-0619-zes_ES
dc.description.issue3es_ES
dc.description.referencesAbramowitz, M., Stegun, A.: Handbook of Mathematical Functions. Dover, New York (1964)es_ES
dc.description.referencesBorel, S., Levadoux, D., Alouges, F.: A new well-conditioned integral formulaiton for Maxwell equations in three dimensions. IEEE Trans. Antennas Propag. 9, 2995–3004 (2005)es_ES
dc.description.referencesBruno, O., Elling, T., Paffenroth, R., Turc, C.: Electromagnetic integral equations requiring small numbers of Krylov-subspace iterations. J. Comput. Phys. 228, 6169–6183 (2009)es_ES
dc.description.referencesBoubendir, Y., Turc, C.: Wave-number estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions. IMA J. Numer. Anal. (2013). doi: 10.1093/imanum/drs038 (published online: March 7)es_ES
dc.description.referencesBruno, O., Elling, T., Turc, C.: Well-conditioned high-order algorithms for the solution of three-dimensional surface acoustic scattering problems with Neumann boundary conditions (preprint)es_ES
dc.description.referencesChandler-Wilde, S.N., Graham, I.G., Langdon, S., Lindner, M.: Condition number estimates for combined potential boundary integral operators in acoustic scattering. J. Integr. Equ. Appl. 21, 229–279 (2009)es_ES
dc.description.referencesChandler-Wilde, S.N., Graham, I.G., Langdon, S., Spence, E.A.: Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Acta Numer. 21, 89–305 (2012)es_ES
dc.description.referencesColton, D., Kress, R.: Integral Equation Methods in Scattering Theory. Wiley, New York (1983)es_ES
dc.description.referencesColton, D., Kress, R.: Inverse Acoustic and Electromagnetic Scattering Theory. Springer, Berlin (1992)es_ES
dc.description.referencesContopanagos, H., Dembart, B., Epton, M., Ottusch, J., Rokhlin, V., Visher, J., Wandzura, S.: Well-conditioned boundary inte- gral equations for three-dimensional electromagnetic scattering. IEEE Trans. Antennas Propag. 50, 1824–1830 (2002)es_ES
dc.description.referencesEpstein, C.L., Greengard, L.: Debye sources and the numerical solution of the time harmonic Maxwell equations. Commun. Pure Appl. Math. 63, 0413–0463 (2010)es_ES
dc.description.referencesHsiao, G., Kleinman, E.: Mathematical foundations for error estimation in numerical solutions of integral equations in electromagnetics. IEEE Trans. Antennas Propag. 45, 316–328 (1997)es_ES
dc.description.referencesJackson, J.D.: Classical Electrodynamics. Wiley, New York (1975)es_ES
dc.description.referencesKleinman, R., Martin, P.: On single integral equations for the transmission problem of acoustics. SIAM J. Appl. Math. 48, 307–325 (1988)es_ES
dc.description.referencesKress, R.: Minimizing the condition number of boundary integral operators in acoustic and electromagnetic scattering. SIAM J. Appl. Math. 48, 307–325 (1988)es_ES
dc.description.referencesKress, R.: Linear Integral Equations. Springer, Heidelberg (1999)es_ES
dc.description.referencesKress, R., Roach, G.: Transmission problems for the Helmholtz equation. J. Math. Phys. 19, 1433–1437 (1978)es_ES
dc.description.referencesNédélec, J.-C.: Acoustic and Electromagnetic Equations. Springer, New York (2001)es_ES
dc.description.referencesPanich, I.: On the question of the solvability of the exterior boundary problem for the wave equation and Maxwell’s equations. Uspekhi Mat. Nauk. 20, 221–226 (1965)es_ES
dc.description.referencesPapas, C.H.: Theory of Electromagnetic Wave Propagation. Dover, New York (1988)es_ES
dc.description.referencesRokhlin, V.: Solution of acoustic scattering problems by means of second kind integral equations. Wave Motion 5, 257–272 (1983)es_ES
dc.description.sponsorshipThis work was supported in part by the Office of the Assistant Secretary of Defense for Research and Engineering and AFOSR under NSSEFF Program Award FA9550-10-1-0180 and by the Department of Energy under contract DEFGO288ER25053. This work was supported also by the Spanish Ministry of Science and Innovation (Ministerio de Ciencia e Innovacion) under the projects CSD2008-00068 and TEC2010-20841-C04-01.en_EN
dc.description.upvformatpfin487es_ES
dc.description.upvformatpinicio463es_ES
dc.description.volume128es_ES
dc.identifier.doi10.1007/s00211-014-0619-z
dc.identifier.eissn0945-3245
dc.identifier.issn0029-599X
dc.identifier.urihttps://riunet.upv.es/handle/10251/55459
dc.languageIngléses_ES
dc.publisherSpringer Verlag (Germany)es_ES
dc.relation.ispartofNumerische Mathematikes_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AFOSR//FA9550-10-1-0180/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/DOE//DE-FG02-88ER25053/US/Applied Analysis and Computational Mathematics/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//CSD2008-00068/ES/Tecnología de terahercios para aplicaciones de obtención de información mediante sensores electromagnéticos/ /es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//TEC2010-20841-C04-01/ES/ANTENAS EN LA BANDA DE MILIMETRICAS PARA APLICACIONES INALAMBRICAS DE ALTA VELOCIDAD/es_ES
dc.relation.publisherversionhttp://dx.doi.org/10.1007/s00211-014-0619-zes_ES
dc.relation.references10.1109/TAP.2005.854561es_ES
dc.relation.references10.1016/j.jcp.2009.05.020es_ES
dc.relation.references10.1093/imanum/drs038es_ES
dc.relation.references10.1216/JIE-2009-21-2-229es_ES
dc.relation.references10.1017/S0962492912000037es_ES
dc.relation.references10.1007/978-3-662-02835-3es_ES
dc.relation.references10.1109/TAP.2002.803956es_ES
dc.relation.references10.1109/8.558648es_ES
dc.relation.references10.1137/0148016es_ES
dc.relation.references10.1007/978-1-4612-0559-3es_ES
dc.relation.references10.1063/1.523808es_ES
dc.relation.references10.1007/978-1-4757-4393-7es_ES
dc.relation.references10.1016/0165-2125(83)90016-1es_ES
dc.relation.senia275255
dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsCerradoes_ES
dc.subjectAcoustic scattering problemses_ES
dc.subjectMaxwell equationses_ES
dc.subjectOperatorses_ES
dc.subjectEcuaciones integraleses_ES
dc.subjectElectromagnetismo aplicadoes_ES
dc.subject.classificationTEORIA DE LA SEÑAL Y COMUNICACIONESes_ES
dc.titleBoundary integral equation analysis on the spherees_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuidb8f6959c-83b5-4e60-a637-0d6caeccee2des_ES

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