Accelerated direct solution of the MoM-VIE for dielectric scatterers

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Title:	Accelerated direct solution of the MoM-VIE for dielectric scatterers
Author:	Heldring, Alexander; Tamayo Palau, José María; Rius Casals, Juan Manuel; Úbeda Farré, Eduard
Other authors:	Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions; Universitat Politècnica de Catalunya. ANTENNALAB - Grup d'Antenes i Sistemes Radio
Abstract:	The Multiscale Compressed Block Decomposition algorithm (MS-CBD), a direct (non-iterative) linear solver, is applied to accelerate the solution of the MoM-VIE formulation for dielectric scatterers. Numerical solutions are presented for problems with several hundreds of thousands of unknowns. Asymptotically (with respect to the electrical size of the problem), the solution time scales with the number of unknowns squared. The numerical examples confirm this theoretical value.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica -Electromagnetism -- Mathematics -Numerical electromagnetism -Volume integral equation -Dielectrics -Moments method (Statistics) -Electromagnetisme -- Matemàtica
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Document type:	Article - Published version Conference Object
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