Iteration acceleration methods for solving three‐temperature heat conduction equations on distorted meshes
This article focuses on designing efficient iteration algorithms for nonequilibrium three‐temperature heat conduction equations, which are used to formulate the radiative energy transport problem. Based on the framework of relaxation iteration, we design a new accelerated iteration algorithm by reas...
Gespeichert in:
| Veröffentlicht in: | Numerical methods for partial differential equations 2024-07, Vol.40 (4), p.n/a |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | n/a |
|---|---|
| container_issue | 4 |
| container_start_page | |
| container_title | Numerical methods for partial differential equations |
| container_volume | 40 |
| creator | Yu, Yunlong Chen, Xingding Yao, Yanzhong |
| description | This article focuses on designing efficient iteration algorithms for nonequilibrium three‐temperature heat conduction equations, which are used to formulate the radiative energy transport problem. Based on the framework of relaxation iteration, we design a new accelerated iteration algorithm by reasonable approximation of the Jacobi matrix, according to the characteristics of the discrete scheme for the three‐temperature equations. Adopting the iteration framework, we analyze the advantages and disadvantages of several iteration algorithms commonly used in practice and the new iteration algorithm. Finally, we compare the new iteration algorithm with some other iteration algorithms by solving several nonlinear models, and show that the new algorithm can achieve significant acceleration effect. |
| doi_str_mv | 10.1002/num.23085 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_3051235310</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>3051235310</sourcerecordid><originalsourceid>FETCH-LOGICAL-c2575-36a7bf8f98c6c0229dbc4b0f8295dc7c2ba1b4e8de9f62f4f9bef1bcd76352e53</originalsourceid><addsrcrecordid>eNp1kL1OwzAUhS0EEqUw8AaRmBjS2k6cxCOq-KlUYKESm5XY1yRVEqe2A-rGI_CMPAlpAyPT1ZG-813pIHRJ8IxgTOdt38xohDN2hCYE8yykMU2O0QSnMQ8J46-n6My5DcaEMMInqF56sLmvTBvkUkL9FxrwpVEu0MYGztTvVfsW-NICfH9-eWi6PddbCErIfSBNq3p56MG2PwhcMARVOW-sBzXoXAnuHJ3ovHZw8XunaH13-7J4CFfP98vFzSqUlKUsjJI8LXSmeSYTiSnlqpBxgXVGOVMylbTISRFDpoDrhOpY8wI0KaRKk4hRYNEUXY3ezpptD86LjeltO7wUEWaERiwieKCuR0pa45wFLTpbNbndCYLFfkwxjCkOYw7sfGQ_qhp2_4Piaf04Nn4A5Px6zg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>3051235310</pqid></control><display><type>article</type><title>Iteration acceleration methods for solving three‐temperature heat conduction equations on distorted meshes</title><source>Wiley Online Library Journals Frontfile Complete</source><creator>Yu, Yunlong ; Chen, Xingding ; Yao, Yanzhong</creator><creatorcontrib>Yu, Yunlong ; Chen, Xingding ; Yao, Yanzhong</creatorcontrib><description>This article focuses on designing efficient iteration algorithms for nonequilibrium three‐temperature heat conduction equations, which are used to formulate the radiative energy transport problem. Based on the framework of relaxation iteration, we design a new accelerated iteration algorithm by reasonable approximation of the Jacobi matrix, according to the characteristics of the discrete scheme for the three‐temperature equations. Adopting the iteration framework, we analyze the advantages and disadvantages of several iteration algorithms commonly used in practice and the new iteration algorithm. Finally, we compare the new iteration algorithm with some other iteration algorithms by solving several nonlinear models, and show that the new algorithm can achieve significant acceleration effect.</description><identifier>ISSN: 0749-159X</identifier><identifier>EISSN: 1098-2426</identifier><identifier>DOI: 10.1002/num.23085</identifier><language>eng</language><publisher>Hoboken, USA: John Wiley & Sons, Inc</publisher><subject>Conduction heating ; Conductive heat transfer ; heat equations ; iteration acceleration ; Iterative algorithms ; nonlinear iteration method</subject><ispartof>Numerical methods for partial differential equations, 2024-07, Vol.40 (4), p.n/a</ispartof><rights>2023 Wiley Periodicals LLC.</rights><rights>2024 Wiley Periodicals LLC.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c2575-36a7bf8f98c6c0229dbc4b0f8295dc7c2ba1b4e8de9f62f4f9bef1bcd76352e53</cites><orcidid>0000-0002-0741-4738 ; 0000-0003-2323-2659</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fnum.23085$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fnum.23085$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>Yu, Yunlong</creatorcontrib><creatorcontrib>Chen, Xingding</creatorcontrib><creatorcontrib>Yao, Yanzhong</creatorcontrib><title>Iteration acceleration methods for solving three‐temperature heat conduction equations on distorted meshes</title><title>Numerical methods for partial differential equations</title><description>This article focuses on designing efficient iteration algorithms for nonequilibrium three‐temperature heat conduction equations, which are used to formulate the radiative energy transport problem. Based on the framework of relaxation iteration, we design a new accelerated iteration algorithm by reasonable approximation of the Jacobi matrix, according to the characteristics of the discrete scheme for the three‐temperature equations. Adopting the iteration framework, we analyze the advantages and disadvantages of several iteration algorithms commonly used in practice and the new iteration algorithm. Finally, we compare the new iteration algorithm with some other iteration algorithms by solving several nonlinear models, and show that the new algorithm can achieve significant acceleration effect.</description><subject>Conduction heating</subject><subject>Conductive heat transfer</subject><subject>heat equations</subject><subject>iteration acceleration</subject><subject>Iterative algorithms</subject><subject>nonlinear iteration method</subject><issn>0749-159X</issn><issn>1098-2426</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp1kL1OwzAUhS0EEqUw8AaRmBjS2k6cxCOq-KlUYKESm5XY1yRVEqe2A-rGI_CMPAlpAyPT1ZG-813pIHRJ8IxgTOdt38xohDN2hCYE8yykMU2O0QSnMQ8J46-n6My5DcaEMMInqF56sLmvTBvkUkL9FxrwpVEu0MYGztTvVfsW-NICfH9-eWi6PddbCErIfSBNq3p56MG2PwhcMARVOW-sBzXoXAnuHJ3ovHZw8XunaH13-7J4CFfP98vFzSqUlKUsjJI8LXSmeSYTiSnlqpBxgXVGOVMylbTISRFDpoDrhOpY8wI0KaRKk4hRYNEUXY3ezpptD86LjeltO7wUEWaERiwieKCuR0pa45wFLTpbNbndCYLFfkwxjCkOYw7sfGQ_qhp2_4Piaf04Nn4A5Px6zg</recordid><startdate>202407</startdate><enddate>202407</enddate><creator>Yu, Yunlong</creator><creator>Chen, Xingding</creator><creator>Yao, Yanzhong</creator><general>John Wiley & Sons, Inc</general><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0002-0741-4738</orcidid><orcidid>https://orcid.org/0000-0003-2323-2659</orcidid></search><sort><creationdate>202407</creationdate><title>Iteration acceleration methods for solving three‐temperature heat conduction equations on distorted meshes</title><author>Yu, Yunlong ; Chen, Xingding ; Yao, Yanzhong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2575-36a7bf8f98c6c0229dbc4b0f8295dc7c2ba1b4e8de9f62f4f9bef1bcd76352e53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Conduction heating</topic><topic>Conductive heat transfer</topic><topic>heat equations</topic><topic>iteration acceleration</topic><topic>Iterative algorithms</topic><topic>nonlinear iteration method</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yu, Yunlong</creatorcontrib><creatorcontrib>Chen, Xingding</creatorcontrib><creatorcontrib>Yao, Yanzhong</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace 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>Numerical methods for partial differential equations</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yu, Yunlong</au><au>Chen, Xingding</au><au>Yao, Yanzhong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Iteration acceleration methods for solving three‐temperature heat conduction equations on distorted meshes</atitle><jtitle>Numerical methods for partial differential equations</jtitle><date>2024-07</date><risdate>2024</risdate><volume>40</volume><issue>4</issue><epage>n/a</epage><issn>0749-159X</issn><eissn>1098-2426</eissn><abstract>This article focuses on designing efficient iteration algorithms for nonequilibrium three‐temperature heat conduction equations, which are used to formulate the radiative energy transport problem. Based on the framework of relaxation iteration, we design a new accelerated iteration algorithm by reasonable approximation of the Jacobi matrix, according to the characteristics of the discrete scheme for the three‐temperature equations. Adopting the iteration framework, we analyze the advantages and disadvantages of several iteration algorithms commonly used in practice and the new iteration algorithm. Finally, we compare the new iteration algorithm with some other iteration algorithms by solving several nonlinear models, and show that the new algorithm can achieve significant acceleration effect.</abstract><cop>Hoboken, USA</cop><pub>John Wiley & Sons, Inc</pub><doi>10.1002/num.23085</doi><tpages>20</tpages><orcidid>https://orcid.org/0000-0002-0741-4738</orcidid><orcidid>https://orcid.org/0000-0003-2323-2659</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0749-159X |
| ispartof | Numerical methods for partial differential equations, 2024-07, Vol.40 (4), p.n/a |
| issn | 0749-159X 1098-2426 |
| language | eng |
| recordid | cdi_proquest_journals_3051235310 |
| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Conduction heating Conductive heat transfer heat equations iteration acceleration Iterative algorithms nonlinear iteration method |
| title | Iteration acceleration methods for solving three‐temperature heat conduction equations on distorted meshes |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-03T20%3A13%3A25IST&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=Iteration%20acceleration%20methods%20for%20solving%20three%E2%80%90temperature%20heat%20conduction%20equations%20on%20distorted%20meshes&rft.jtitle=Numerical%20methods%20for%20partial%20differential%20equations&rft.au=Yu,%20Yunlong&rft.date=2024-07&rft.volume=40&rft.issue=4&rft.epage=n/a&rft.issn=0749-159X&rft.eissn=1098-2426&rft_id=info:doi/10.1002/num.23085&rft_dat=%3Cproquest_cross%3E3051235310%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=3051235310&rft_id=info:pmid/&rfr_iscdi=true |