Convergence Study of a Non-Standard Schwarz Domain Decomposition Method for Finite Element Mesh Truncation in Electromagnetics
A convergence study of a non-standard Schwarz domain decomposition method for finite element mesh truncation in electromagnetics has been carried out. The original infinite domain is divided into two overlapping domains. The interior finite domain is modeled by finite elements and the exterior infin...
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Tagungsbericht |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 993 |
|---|---|
| container_issue | |
| container_start_page | 990 |
| container_title | |
| container_volume | |
| creator | Fernandez-Recio, R. Garcia-Castillo, L.E. Gomez-Revuelto, I. Salazar-Palma, M. |
| description | A convergence study of a non-standard Schwarz domain decomposition method for finite element mesh truncation in electromagnetics has been carried out. The original infinite domain is divided into two overlapping domains. The interior finite domain is modeled by finite elements and the exterior infinite domain by an integral equation representation of the field. A numerical study of the spectrum of the iteration matrix for non-convex mesh truncation boundaries is performed. The projection of the error between two consecutive iterations onto the eigenvector space of the iteration matrix is performed. The numerical results explain the convergence behavior of the Schwarz iterations. |
| doi_str_mv | 10.1109/ICEAA.2007.4387473 |
| format | Conference Proceeding |
| fullrecord | <record><control><sourceid>ieee_6IE</sourceid><recordid>TN_cdi_ieee_primary_4387473</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>4387473</ieee_id><sourcerecordid>4387473</sourcerecordid><originalsourceid>FETCH-LOGICAL-i90t-ce3091cea28c9d0019c7bb0a43eabad8bf1ff649d4ad22d2d12b285f6f5c8f6b3</originalsourceid><addsrcrecordid>eNpVUM1OAjEYrDEkKvICeukLgP3b7fZIFlAS1APcSbf9CjVsS7pFowef3Y1y8TSZzE8mg9AdJRNKiXpY1vPpdMIIkRPBKykkv0AjJSsqmBBElrK4_MfLaoBuenupeKFIcYVGXfdGCKGy5ErRa_Rdx_AOaQfBAF7nk_3E0WGNX2IYr7MOVieL12b_odMXnsVW-4BnYGJ7jJ3PPgb8DHkfLXYx4YUPPgOeH6CFkHul2-NNOgWjf519tJdMTn3NLkD2prtFA6cPHYzOOESbxXxTP41Xr4_Leroae0Xy2AAnihrQrDLK9uuVkU1DtOCgG22rxlHnSqGs0JYxyyxlDasKV7rCVK5s-BDd_9V6ANgek291-tyeH-Q_jmBlOA</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype></control><display><type>conference_proceeding</type><title>Convergence Study of a Non-Standard Schwarz Domain Decomposition Method for Finite Element Mesh Truncation in Electromagnetics</title><source>IEEE Electronic Library (IEL) Conference Proceedings</source><creator>Fernandez-Recio, R. ; Garcia-Castillo, L.E. ; Gomez-Revuelto, I. ; Salazar-Palma, M.</creator><creatorcontrib>Fernandez-Recio, R. ; Garcia-Castillo, L.E. ; Gomez-Revuelto, I. ; Salazar-Palma, M.</creatorcontrib><description>A convergence study of a non-standard Schwarz domain decomposition method for finite element mesh truncation in electromagnetics has been carried out. The original infinite domain is divided into two overlapping domains. The interior finite domain is modeled by finite elements and the exterior infinite domain by an integral equation representation of the field. A numerical study of the spectrum of the iteration matrix for non-convex mesh truncation boundaries is performed. The projection of the error between two consecutive iterations onto the eigenvector space of the iteration matrix is performed. The numerical results explain the convergence behavior of the Schwarz iterations.</description><identifier>ISBN: 9781424407668</identifier><identifier>ISBN: 1424407664</identifier><identifier>EISBN: 9781424407675</identifier><identifier>EISBN: 1424407672</identifier><identifier>DOI: 10.1109/ICEAA.2007.4387473</identifier><identifier>LCCN: 2006935905</identifier><language>eng</language><publisher>IEEE</publisher><subject>Boundary conditions ; Convergence of numerical methods ; Electromagnetic scattering ; Finite element methods ; Frequency ; Integral equations ; Iterative algorithms ; Iterative methods</subject><ispartof>2007 International Conference on Electromagnetics in Advanced Applications, 2007, p.990-993</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/4387473$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,776,780,785,786,2051,27904,54898</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4387473$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Fernandez-Recio, R.</creatorcontrib><creatorcontrib>Garcia-Castillo, L.E.</creatorcontrib><creatorcontrib>Gomez-Revuelto, I.</creatorcontrib><creatorcontrib>Salazar-Palma, M.</creatorcontrib><title>Convergence Study of a Non-Standard Schwarz Domain Decomposition Method for Finite Element Mesh Truncation in Electromagnetics</title><title>2007 International Conference on Electromagnetics in Advanced Applications</title><addtitle>ICEAA</addtitle><description>A convergence study of a non-standard Schwarz domain decomposition method for finite element mesh truncation in electromagnetics has been carried out. The original infinite domain is divided into two overlapping domains. The interior finite domain is modeled by finite elements and the exterior infinite domain by an integral equation representation of the field. A numerical study of the spectrum of the iteration matrix for non-convex mesh truncation boundaries is performed. The projection of the error between two consecutive iterations onto the eigenvector space of the iteration matrix is performed. The numerical results explain the convergence behavior of the Schwarz iterations.</description><subject>Boundary conditions</subject><subject>Convergence of numerical methods</subject><subject>Electromagnetic scattering</subject><subject>Finite element methods</subject><subject>Frequency</subject><subject>Integral equations</subject><subject>Iterative algorithms</subject><subject>Iterative methods</subject><isbn>9781424407668</isbn><isbn>1424407664</isbn><isbn>9781424407675</isbn><isbn>1424407672</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2007</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpVUM1OAjEYrDEkKvICeukLgP3b7fZIFlAS1APcSbf9CjVsS7pFowef3Y1y8TSZzE8mg9AdJRNKiXpY1vPpdMIIkRPBKykkv0AjJSsqmBBElrK4_MfLaoBuenupeKFIcYVGXfdGCKGy5ErRa_Rdx_AOaQfBAF7nk_3E0WGNX2IYr7MOVieL12b_odMXnsVW-4BnYGJ7jJ3PPgb8DHkfLXYx4YUPPgOeH6CFkHul2-NNOgWjf519tJdMTn3NLkD2prtFA6cPHYzOOESbxXxTP41Xr4_Leroae0Xy2AAnihrQrDLK9uuVkU1DtOCgG22rxlHnSqGs0JYxyyxlDasKV7rCVK5s-BDd_9V6ANgek291-tyeH-Q_jmBlOA</recordid><startdate>200709</startdate><enddate>200709</enddate><creator>Fernandez-Recio, R.</creator><creator>Garcia-Castillo, L.E.</creator><creator>Gomez-Revuelto, I.</creator><creator>Salazar-Palma, M.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200709</creationdate><title>Convergence Study of a Non-Standard Schwarz Domain Decomposition Method for Finite Element Mesh Truncation in Electromagnetics</title><author>Fernandez-Recio, R. ; Garcia-Castillo, L.E. ; Gomez-Revuelto, I. ; Salazar-Palma, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-ce3091cea28c9d0019c7bb0a43eabad8bf1ff649d4ad22d2d12b285f6f5c8f6b3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Boundary conditions</topic><topic>Convergence of numerical methods</topic><topic>Electromagnetic scattering</topic><topic>Finite element methods</topic><topic>Frequency</topic><topic>Integral equations</topic><topic>Iterative algorithms</topic><topic>Iterative methods</topic><toplevel>online_resources</toplevel><creatorcontrib>Fernandez-Recio, R.</creatorcontrib><creatorcontrib>Garcia-Castillo, L.E.</creatorcontrib><creatorcontrib>Gomez-Revuelto, I.</creatorcontrib><creatorcontrib>Salazar-Palma, M.</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>Fernandez-Recio, R.</au><au>Garcia-Castillo, L.E.</au><au>Gomez-Revuelto, I.</au><au>Salazar-Palma, M.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Convergence Study of a Non-Standard Schwarz Domain Decomposition Method for Finite Element Mesh Truncation in Electromagnetics</atitle><btitle>2007 International Conference on Electromagnetics in Advanced Applications</btitle><stitle>ICEAA</stitle><date>2007-09</date><risdate>2007</risdate><spage>990</spage><epage>993</epage><pages>990-993</pages><isbn>9781424407668</isbn><isbn>1424407664</isbn><eisbn>9781424407675</eisbn><eisbn>1424407672</eisbn><abstract>A convergence study of a non-standard Schwarz domain decomposition method for finite element mesh truncation in electromagnetics has been carried out. The original infinite domain is divided into two overlapping domains. The interior finite domain is modeled by finite elements and the exterior infinite domain by an integral equation representation of the field. A numerical study of the spectrum of the iteration matrix for non-convex mesh truncation boundaries is performed. The projection of the error between two consecutive iterations onto the eigenvector space of the iteration matrix is performed. The numerical results explain the convergence behavior of the Schwarz iterations.</abstract><pub>IEEE</pub><doi>10.1109/ICEAA.2007.4387473</doi><tpages>4</tpages></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | ISBN: 9781424407668 |
| ispartof | 2007 International Conference on Electromagnetics in Advanced Applications, 2007, p.990-993 |
| issn | |
| language | eng |
| recordid | cdi_ieee_primary_4387473 |
| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Boundary conditions Convergence of numerical methods Electromagnetic scattering Finite element methods Frequency Integral equations Iterative algorithms Iterative methods |
| title | Convergence Study of a Non-Standard Schwarz Domain Decomposition Method for Finite Element Mesh Truncation in Electromagnetics |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-25T22%3A09%3A05IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ieee_6IE&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=Convergence%20Study%20of%20a%20Non-Standard%20Schwarz%20Domain%20Decomposition%20Method%20for%20Finite%20Element%20Mesh%20Truncation%20in%20Electromagnetics&rft.btitle=2007%20International%20Conference%20on%20Electromagnetics%20in%20Advanced%20Applications&rft.au=Fernandez-Recio,%20R.&rft.date=2007-09&rft.spage=990&rft.epage=993&rft.pages=990-993&rft.isbn=9781424407668&rft.isbn_list=1424407664&rft_id=info:doi/10.1109/ICEAA.2007.4387473&rft_dat=%3Cieee_6IE%3E4387473%3C/ieee_6IE%3E%3Curl%3E%3C/url%3E&rft.eisbn=9781424407675&rft.eisbn_list=1424407672&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_ieee_id=4387473&rfr_iscdi=true |