In this article, we describe the integration of a multiresolution (MR) approach into a few fast factorization methods for the method-of-moments (MoM), with specific attention to the analysis of large nonperiodic arrays. The MR approach allows a physics-based preconditioning scheme (as opposed to algebraic preconditioners) that requires a low-memory occupation and a low-computational cost for its generation and application to fast factorizations. In particular, we present a theoretical and experimental analysis that shows that the complexity of the resulting fast-MR algorithm is still of the order of the original fast factorization method. © 2010 Wiley Periodicals, Inc. Microwave Opt Technol Lett 52: 1719-1724, 2010; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.25320
Performances of MR-preconditioned fast MoM techniques / P. De Vita; F. De Vita; A. Freni; P. Pirinoli; F. Vipiana; G. Vecchi. - In: MICROWAVE AND OPTICAL TECHNOLOGY LETTERS. - ISSN 0895-2477. - STAMPA. - 52:(2010), pp. 1719-1724. [10.1002/mop.25320]
Performances of MR-preconditioned fast MoM techniques
DE VITA, FRANCESCA;FRENI, ANGELO;
2010
Abstract
In this article, we describe the integration of a multiresolution (MR) approach into a few fast factorization methods for the method-of-moments (MoM), with specific attention to the analysis of large nonperiodic arrays. The MR approach allows a physics-based preconditioning scheme (as opposed to algebraic preconditioners) that requires a low-memory occupation and a low-computational cost for its generation and application to fast factorizations. In particular, we present a theoretical and experimental analysis that shows that the complexity of the resulting fast-MR algorithm is still of the order of the original fast factorization method. © 2010 Wiley Periodicals, Inc. Microwave Opt Technol Lett 52: 1719-1724, 2010; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.25320
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