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dc.contributor.authorHeldring, Alexander
dc.contributor.authorRius Casals, Juan Manuel
dc.contributor.authorTamayo Palau, José María
dc.contributor.authorParrón Granados, Josep
dc.contributor.authorÚbeda Farré, Eduard
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions
dc.identifier.citationHeldring, A.; Rius Casals, J.M.; Tamayo Palau, J.M.; Parrón Granados, J.; Úbeda Farré, E. Fast direct solution of method of moments linear system. IEEE Trnasactions on Antennas and Propagation, 2007, vol. 55, núm. 11, pàg. 3220-3228.
dc.description.abstractA novel algorithm, the compressed block decomposition (CBD), is presented for highly accelerated direct (non iterative) method of moments (MoM) solution of electromagnetic scattering and radiation problems. The algorithm is based on a block-wise subdivision of the MoM impedance matrix. Impedance matrix subblocks corresponding to distant subregions of the problem geometry are not calculated directly, but approximated in a compressed form. Subsequently, the matrix is decomposed preserving the compression. Examples are presented of typical problems in the range of 5000 to 70 000 unknowns. The total execution time for the largest problem is about 1 h and 20 min for a single excitation vector. The main strength of the method is for problems with multiple excitation vectors (monostatic RCS computations) due to the negligible extra cost for each new excitation. For radiation and scattering problems in free space, the numerical complexity of the algorithm is shown to be N2 and the storage requirements scale with N3/2.
dc.subjectÀrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica
dc.subject.lcshNumerical analysis
dc.subject.otherBlock-wise compression
dc.subject.otherComputational electromagnetics
dc.subject.otherFast direct solution method
dc.subject.otherImpedance matrix
dc.subject.otherMatrix decomposition method
dc.subject.otherMethod of moments linear system
dc.subject.otherMethod of moments impedance matrix
dc.subject.otherSingular value decomposition
dc.titleFast direct solution of method of moments linear system
dc.subject.lemacOnes electromagnètiques -- Dispersió
dc.subject.lemacAnàlisi numèrica
dc.contributor.groupUniversitat Politècnica de Catalunya. ANTENNALAB - Grup d'Antenes i Sistemes Radio
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access

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