New and more efficient formulation of MLMDA for arbitrary 3D antennas and scatterers
The Multilevel Matrix Decomposition Algorithm (MLMDA) was originally developed by Michielsen and Boag for 2-D TMz scattering problems and later implemented in 3-D by Rius et al. The 3-D MLMDA was particularly efficient and accurate for piece-wise planar objects such as printed antennas. However, for...
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creator | Rius, J.M. Heldring, A. Tamayo, J.M. Parron, J. |
description | The Multilevel Matrix Decomposition Algorithm (MLMDA) was originally developed by Michielsen and Boag for 2-D TMz scattering problems and later implemented in 3-D by Rius et al. The 3-D MLMDA was particularly efficient and accurate for piece-wise planar objects such as printed antennas. However, for arbitrary 3-D problems it was not as efficient as the Multilevel Fast Multipole Algorithm (MLFMA). This paper will introduce some improvements in 3-D MLMDA, like new placement of equivalent functions and SVD post-compression, that make it comparable with MLFMA in terms of computation time and memory requirements, but more accurate. |
doi_str_mv | 10.1109/EUCAP.2006.4584551 |
format | Conference Proceeding |
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The 3-D MLMDA was particularly efficient and accurate for piece-wise planar objects such as printed antennas. However, for arbitrary 3-D problems it was not as efficient as the Multilevel Fast Multipole Algorithm (MLFMA). This paper will introduce some improvements in 3-D MLMDA, like new placement of equivalent functions and SVD post-compression, that make it comparable with MLFMA in terms of computation time and memory requirements, but more accurate.</description><identifier>ISSN: 2164-3342</identifier><identifier>ISBN: 9290929375</identifier><identifier>ISBN: 9789290929376</identifier><identifier>DOI: 10.1109/EUCAP.2006.4584551</identifier><language>eng</language><publisher>IEEE</publisher><subject>Green's function methods ; Impedance ; Integral equations ; Iterative algorithms ; Iterative methods ; Matrix decomposition ; Microstrip antenna arrays ; MLFMA ; Scattering ; Transmission line matrix methods</subject><ispartof>2006 First European Conference on Antennas and Propagation, 2006, p.1-6</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4584551$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,780,784,789,790,2058,27925,54920</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4584551$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Rius, J.M.</creatorcontrib><creatorcontrib>Heldring, A.</creatorcontrib><creatorcontrib>Tamayo, J.M.</creatorcontrib><creatorcontrib>Parron, J.</creatorcontrib><title>New and more efficient formulation of MLMDA for arbitrary 3D antennas and scatterers</title><title>2006 First European Conference on Antennas and Propagation</title><addtitle>EUCAP</addtitle><description>The Multilevel Matrix Decomposition Algorithm (MLMDA) was originally developed by Michielsen and Boag for 2-D TMz scattering problems and later implemented in 3-D by Rius et al. The 3-D MLMDA was particularly efficient and accurate for piece-wise planar objects such as printed antennas. However, for arbitrary 3-D problems it was not as efficient as the Multilevel Fast Multipole Algorithm (MLFMA). This paper will introduce some improvements in 3-D MLMDA, like new placement of equivalent functions and SVD post-compression, that make it comparable with MLFMA in terms of computation time and memory requirements, but more accurate.</description><subject>Green's function methods</subject><subject>Impedance</subject><subject>Integral equations</subject><subject>Iterative algorithms</subject><subject>Iterative methods</subject><subject>Matrix decomposition</subject><subject>Microstrip antenna arrays</subject><subject>MLFMA</subject><subject>Scattering</subject><subject>Transmission line matrix methods</subject><issn>2164-3342</issn><isbn>9290929375</isbn><isbn>9789290929376</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2006</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotkM1KxDAcxAMquK77AnrJC7TmO82xdNcP6KqHel7S9B-IbFtJIuLbW3UPw8DA_BgGoRtKSkqJudu9NfVryQhRpZCVkJKeoSvDDFnEtTxHK0aVKDgX7BJtUnonhFAjSVWpFeqe4QvbacDjHAGD98EFmDL2cxw_jzaHecKzx_t2v61_Q2xjH3K08Rvz7VLMME02_RGSszlDhJiu0YW3xwSbk69Rd7_rmseifXl4auq2CIbkQvdGy170Vc-0Mwyodcxx6Q2Xg1JOew_aCeCUWUo40WKwHpjygxy0d0rwNbr9xwYAOHzEMC6zDqcP-A98cVC_</recordid><startdate>200611</startdate><enddate>200611</enddate><creator>Rius, J.M.</creator><creator>Heldring, A.</creator><creator>Tamayo, J.M.</creator><creator>Parron, J.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200611</creationdate><title>New and more efficient formulation of MLMDA for arbitrary 3D antennas and scatterers</title><author>Rius, J.M. ; Heldring, A. ; Tamayo, J.M. ; Parron, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-7b975b4b8b27c92e1ac2c35f935d66c7ffe7c4e312a103074dafe26fd5d7fc643</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Green's function methods</topic><topic>Impedance</topic><topic>Integral equations</topic><topic>Iterative algorithms</topic><topic>Iterative methods</topic><topic>Matrix decomposition</topic><topic>Microstrip antenna arrays</topic><topic>MLFMA</topic><topic>Scattering</topic><topic>Transmission line matrix methods</topic><toplevel>online_resources</toplevel><creatorcontrib>Rius, J.M.</creatorcontrib><creatorcontrib>Heldring, A.</creatorcontrib><creatorcontrib>Tamayo, J.M.</creatorcontrib><creatorcontrib>Parron, J.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Rius, J.M.</au><au>Heldring, A.</au><au>Tamayo, J.M.</au><au>Parron, J.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>New and more efficient formulation of MLMDA for arbitrary 3D antennas and scatterers</atitle><btitle>2006 First European Conference on Antennas and Propagation</btitle><stitle>EUCAP</stitle><date>2006-11</date><risdate>2006</risdate><spage>1</spage><epage>6</epage><pages>1-6</pages><issn>2164-3342</issn><isbn>9290929375</isbn><isbn>9789290929376</isbn><abstract>The Multilevel Matrix Decomposition Algorithm (MLMDA) was originally developed by Michielsen and Boag for 2-D TMz scattering problems and later implemented in 3-D by Rius et al. The 3-D MLMDA was particularly efficient and accurate for piece-wise planar objects such as printed antennas. However, for arbitrary 3-D problems it was not as efficient as the Multilevel Fast Multipole Algorithm (MLFMA). This paper will introduce some improvements in 3-D MLMDA, like new placement of equivalent functions and SVD post-compression, that make it comparable with MLFMA in terms of computation time and memory requirements, but more accurate.</abstract><pub>IEEE</pub><doi>10.1109/EUCAP.2006.4584551</doi><tpages>6</tpages></addata></record> |
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source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | Green's function methods Impedance Integral equations Iterative algorithms Iterative methods Matrix decomposition Microstrip antenna arrays MLFMA Scattering Transmission line matrix methods |
title | New and more efficient formulation of MLMDA for arbitrary 3D antennas and scatterers |
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