Analytical evaluation and application of the singularities in boundary element method
In this paper, two alternative approaches to the boundary element method (BEM) are investigated; namely, the contour approach method and the direct approach method. A detailed comparison of these methods is made by evaluating the accuracy of singular boundary integrals. A complete and comprehensive...
Gespeichert in:
| Veröffentlicht in: | Engineering analysis with boundary elements 2005-03, Vol.29 (3), p.241-256 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 256 |
|---|---|
| container_issue | 3 |
| container_start_page | 241 |
| container_title | Engineering analysis with boundary elements |
| container_volume | 29 |
| creator | Wang, John Tsay, Ting-Kuei |
| description | In this paper, two alternative approaches to the boundary element method (BEM) are investigated; namely, the contour approach method and the direct approach method. A detailed comparison of these methods is made by evaluating the accuracy of singular boundary integrals. A complete and comprehensive exposition of the derivation leads to the correct implementation. This is in contrast to conventional numerical integration methods, which suffer from the numerical boundary layer. Singularities which are mathematical artifacts are shown to vanish when the contour approach and the direct approach methods are applied. Singularities which arise from the physics are dealt with by way of a complex mapping method in the BEM. The results of seven benchmark problems which are supportive of these conclusions are presented at the end of this article. |
| doi_str_mv | 10.1016/j.enganabound.2004.12.008 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_28550770</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S095579970500024X</els_id><sourcerecordid>28550770</sourcerecordid><originalsourceid>FETCH-LOGICAL-c382t-a89d3d661fc37c3e2a9b347b4cb62792e66f943a6932510a71d5103661ac00453</originalsourceid><addsrcrecordid>eNqNkE9LJDEQxcOisKPrd8ge1lu3-dOddI4y6K4g7GWFvYWadLVmyKTHJC347Y2OoEdPRRWv6tX7EfKTs5Yzri62LcZ7iLCZlzi2grGu5aJlbPhGVnzQsuFG_z8iK2b6vtHG6O_kJOctY1wyplbk7jJCeC7eQaD4BGGB4udIIY4U9vtQ52_9PNHygDT7eL8ESL54zNRH-mYL6ZliwB3GQndYHubxBzmeIGQ8e6-n5O766t_6T3P79_fN-vK2cXIQpYHBjHJUik9OaidRgNnITm86t1FCG4FKTaaToIwUPWeg-ViLrAvgatJenpLzw919mh8XzMXufHYYAkScl2zF0PdMa1aF5iB0ac454WT3ye_q45Yz-wrSbu0nkPYVpOXCVpB199e7CeSKaUoQnc8fB5TmsmOm6tYHHdbETx6Tzc5jdDj6hK7YcfZfcHsBC-eP0g</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>28550770</pqid></control><display><type>article</type><title>Analytical evaluation and application of the singularities in boundary element method</title><source>Elsevier ScienceDirect Journals Complete - AutoHoldings</source><creator>Wang, John ; Tsay, Ting-Kuei</creator><creatorcontrib>Wang, John ; Tsay, Ting-Kuei</creatorcontrib><description>In this paper, two alternative approaches to the boundary element method (BEM) are investigated; namely, the contour approach method and the direct approach method. A detailed comparison of these methods is made by evaluating the accuracy of singular boundary integrals. A complete and comprehensive exposition of the derivation leads to the correct implementation. This is in contrast to conventional numerical integration methods, which suffer from the numerical boundary layer. Singularities which are mathematical artifacts are shown to vanish when the contour approach and the direct approach methods are applied. Singularities which arise from the physics are dealt with by way of a complex mapping method in the BEM. The results of seven benchmark problems which are supportive of these conclusions are presented at the end of this article.</description><identifier>ISSN: 0955-7997</identifier><identifier>EISSN: 1873-197X</identifier><identifier>DOI: 10.1016/j.enganabound.2004.12.008</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Boundary element method ; Boundary-integral methods ; Computational techniques ; Cut-off wall ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Mathematical methods in physics ; Numerical boundary layer ; Physics ; Singularities</subject><ispartof>Engineering analysis with boundary elements, 2005-03, Vol.29 (3), p.241-256</ispartof><rights>2005 Elsevier Ltd</rights><rights>2005 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c382t-a89d3d661fc37c3e2a9b347b4cb62792e66f943a6932510a71d5103661ac00453</citedby><cites>FETCH-LOGICAL-c382t-a89d3d661fc37c3e2a9b347b4cb62792e66f943a6932510a71d5103661ac00453</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.enganabound.2004.12.008$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3548,27922,27923,45993</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=16713409$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Wang, John</creatorcontrib><creatorcontrib>Tsay, Ting-Kuei</creatorcontrib><title>Analytical evaluation and application of the singularities in boundary element method</title><title>Engineering analysis with boundary elements</title><description>In this paper, two alternative approaches to the boundary element method (BEM) are investigated; namely, the contour approach method and the direct approach method. A detailed comparison of these methods is made by evaluating the accuracy of singular boundary integrals. A complete and comprehensive exposition of the derivation leads to the correct implementation. This is in contrast to conventional numerical integration methods, which suffer from the numerical boundary layer. Singularities which are mathematical artifacts are shown to vanish when the contour approach and the direct approach methods are applied. Singularities which arise from the physics are dealt with by way of a complex mapping method in the BEM. The results of seven benchmark problems which are supportive of these conclusions are presented at the end of this article.</description><subject>Boundary element method</subject><subject>Boundary-integral methods</subject><subject>Computational techniques</subject><subject>Cut-off wall</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Mathematical methods in physics</subject><subject>Numerical boundary layer</subject><subject>Physics</subject><subject>Singularities</subject><issn>0955-7997</issn><issn>1873-197X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><recordid>eNqNkE9LJDEQxcOisKPrd8ge1lu3-dOddI4y6K4g7GWFvYWadLVmyKTHJC347Y2OoEdPRRWv6tX7EfKTs5Yzri62LcZ7iLCZlzi2grGu5aJlbPhGVnzQsuFG_z8iK2b6vtHG6O_kJOctY1wyplbk7jJCeC7eQaD4BGGB4udIIY4U9vtQ52_9PNHygDT7eL8ESL54zNRH-mYL6ZliwB3GQndYHubxBzmeIGQ8e6-n5O766t_6T3P79_fN-vK2cXIQpYHBjHJUik9OaidRgNnITm86t1FCG4FKTaaToIwUPWeg-ViLrAvgatJenpLzw919mh8XzMXufHYYAkScl2zF0PdMa1aF5iB0ac454WT3ye_q45Yz-wrSbu0nkPYVpOXCVpB199e7CeSKaUoQnc8fB5TmsmOm6tYHHdbETx6Tzc5jdDj6hK7YcfZfcHsBC-eP0g</recordid><startdate>20050301</startdate><enddate>20050301</enddate><creator>Wang, John</creator><creator>Tsay, Ting-Kuei</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20050301</creationdate><title>Analytical evaluation and application of the singularities in boundary element method</title><author>Wang, John ; Tsay, Ting-Kuei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c382t-a89d3d661fc37c3e2a9b347b4cb62792e66f943a6932510a71d5103661ac00453</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Boundary element method</topic><topic>Boundary-integral methods</topic><topic>Computational techniques</topic><topic>Cut-off wall</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Mathematical methods in physics</topic><topic>Numerical boundary layer</topic><topic>Physics</topic><topic>Singularities</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, John</creatorcontrib><creatorcontrib>Tsay, Ting-Kuei</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Engineering analysis with boundary elements</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, John</au><au>Tsay, Ting-Kuei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical evaluation and application of the singularities in boundary element method</atitle><jtitle>Engineering analysis with boundary elements</jtitle><date>2005-03-01</date><risdate>2005</risdate><volume>29</volume><issue>3</issue><spage>241</spage><epage>256</epage><pages>241-256</pages><issn>0955-7997</issn><eissn>1873-197X</eissn><abstract>In this paper, two alternative approaches to the boundary element method (BEM) are investigated; namely, the contour approach method and the direct approach method. A detailed comparison of these methods is made by evaluating the accuracy of singular boundary integrals. A complete and comprehensive exposition of the derivation leads to the correct implementation. This is in contrast to conventional numerical integration methods, which suffer from the numerical boundary layer. Singularities which are mathematical artifacts are shown to vanish when the contour approach and the direct approach methods are applied. Singularities which arise from the physics are dealt with by way of a complex mapping method in the BEM. The results of seven benchmark problems which are supportive of these conclusions are presented at the end of this article.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.enganabound.2004.12.008</doi><tpages>16</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0955-7997 |
| ispartof | Engineering analysis with boundary elements, 2005-03, Vol.29 (3), p.241-256 |
| issn | 0955-7997 1873-197X |
| language | eng |
| recordid | cdi_proquest_miscellaneous_28550770 |
| source | Elsevier ScienceDirect Journals Complete - AutoHoldings |
| subjects | Boundary element method Boundary-integral methods Computational techniques Cut-off wall Exact sciences and technology Fundamental areas of phenomenology (including applications) Mathematical methods in physics Numerical boundary layer Physics Singularities |
| title | Analytical evaluation and application of the singularities in boundary element method |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-09T14%3A11%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Analytical%20evaluation%20and%20application%20of%20the%20singularities%20in%20boundary%20element%20method&rft.jtitle=Engineering%20analysis%20with%20boundary%20elements&rft.au=Wang,%20John&rft.date=2005-03-01&rft.volume=29&rft.issue=3&rft.spage=241&rft.epage=256&rft.pages=241-256&rft.issn=0955-7997&rft.eissn=1873-197X&rft_id=info:doi/10.1016/j.enganabound.2004.12.008&rft_dat=%3Cproquest_cross%3E28550770%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=28550770&rft_id=info:pmid/&rft_els_id=S095579970500024X&rfr_iscdi=true |