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dc.contributor.authorHeldring, Alexander
dc.contributor.authorTamayo, J.M.
dc.contributor.authorÚbeda Farré, Eduard
dc.contributor.authorRius Casals, Juan Manuel
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions
dc.date.accessioned2013-07-11T14:38:23Z
dc.date.created2012-08
dc.date.issued2012-08
dc.identifier.citationHeldring, A. [et al.]. Accelerated direct solution of the method-of-moments linear system. "Proceedings of the IEEE", Agost 2012, vol. 101, núm. 2, p. 364-371.
dc.identifier.issn0018-9219
dc.identifier.urihttp://hdl.handle.net/2117/19930
dc.description.abstractThis paper addresses the direct (noniterative) solution of the method-of-moments (MoM) linear system, accelerated through block-wise compression of the MoM impedance matrix. Efficient matrix block compression is achieved using the adaptive cross-approximation (ACA) algorithm and the truncated singular value decomposition (SVD) postcompression. Subsequently, a matrix decomposition is applied that preserves the compression and allows for fast solution by backsubstitution. Although not as fast as some iterative methods for very large problems, accelerated direct solution has several desirable features, including: few problem-dependent parameters; fixed time solution avoiding convergence problems; and high efficiency for multiple excitation problems [e.g., monostatic radar cross section (RCS)]. Emphasis in this paper is on the multiscale compressed block decomposition (MS-CBD) algorithm, introduced by Heldring , which is numerically compared to alternative fast direct methods. A new concise proof is given for the N2 computational complexity of the MS-CBD. Some numerical results are presented, in particular, a monostatic RCS computation involving 1 043 577 unknowns and 1000 incident field directions, and an application of the MS-CBD to the volume integral equation (VIE) for inhomogeneous dielectrics.
dc.format.extent8 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica::Antenes i agrupacions d'antenes
dc.subject.lcshMicrowave antennas
dc.subject.otherAdaptive cross approximation (ACA)
dc.subject.othercomputational electromagnetics
dc.subject.otherfast solvers
dc.subject.otherintegral equations
dc.subject.othermethod of moments (MoM)
dc.titleAccelerated direct solution of the method-of-moments linear system
dc.typeArticle
dc.subject.lemacAntenes de microones
dc.contributor.groupUniversitat Politècnica de Catalunya. ANTENNALAB - Grup d'Antenes i Sistemes Radio
dc.identifier.doi10.1109/JPROC.2012.2193369
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6265336
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac11349496
dc.description.versionPostprint (published version)
dc.date.lift10000-01-01
local.citation.authorHeldring, A.; Tamayo, J.; Ubeda, E.; Rius, J.
local.citation.publicationNameProceedings of the IEEE
local.citation.volume101
local.citation.number2
local.citation.startingPage364
local.citation.endingPage371


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