A DISCONTINUOUS GALERKIN METHOD FOR THE FOURTH-ORDER CURL PROBLEM
In this paper, we present a discontinuous Galerkin （DG） method based on the N@d@lec finite element space for solving a fourth-order curl equation arising from a magnetohy- drodynamics model on a 3-dimensional bounded Lipschitz polyhedron. We show that the method has an optimal error estimate for a m...
Gespeichert in:
| Veröffentlicht in: | Journal of computational mathematics 2012-11, Vol.30 (6), p.565-578 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 578 |
|---|---|
| container_issue | 6 |
| container_start_page | 565 |
| container_title | Journal of computational mathematics |
| container_volume | 30 |
| creator | Hong, Qingguo Hu, Jun Shu, Shi Xu, Jinchao |
| description | In this paper, we present a discontinuous Galerkin （DG） method based on the N@d@lec finite element space for solving a fourth-order curl equation arising from a magnetohy- drodynamics model on a 3-dimensional bounded Lipschitz polyhedron. We show that the method has an optimal error estimate for a model problem involving a fourth-order curl operator. Furthermore, some numerical results in 2 dimensions are presented to verify the theoretical results. |
| doi_str_mv | 10.4208/jcm.1206-m3572 |
| format | Article |
| fullrecord | <record><control><sourceid>jstor_cross</sourceid><recordid>TN_cdi_crossref_primary_10_4208_jcm_1206_m3572</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cqvip_id>44692101</cqvip_id><jstor_id>43693724</jstor_id><sourcerecordid>43693724</sourcerecordid><originalsourceid>FETCH-LOGICAL-c327t-5dd91e8629278d2f4c94bf5dae412626cc579cc0bb4584df218673c13dc31ec3</originalsourceid><addsrcrecordid>eNpFj8FPwjAchRujiYhevZnUP6Cz_bVr1-Mcgy0Oasp2XqDbECKgGxf-e4cQPb3De99LPoQeGfUE0OBl47YeAyrJlvsKrtCAac2IYlxfowEFXxAtqL5Fd123oZRyEGqAwhCP0nlkZnk6K0wxx5Mwi-1bOsPTOE_MCI-NxXkS91nYPCHGjmKLo8Jm-N2a1yye3qObZvHZ1Q-XHKJ8HOdRQjIzSaMwI46DOhC_qjSrAwkaVFBBI5wWy8avFrVgIEE65yvtHF0uhR-IqgEWSMUd45XjrHZ8iLzzrWv3XdfWTfnVrreL9lgyWp78y96_PPmXv_498HQGNt1h3_6tBZeaKxB9_3w5_NjvVt_r3ep_I6QGRhn_Ad9uXRY</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A DISCONTINUOUS GALERKIN METHOD FOR THE FOURTH-ORDER CURL PROBLEM</title><source>Jstor Complete Legacy</source><source>JSTOR Mathematics & Statistics</source><creator>Hong, Qingguo ; Hu, Jun ; Shu, Shi ; Xu, Jinchao</creator><creatorcontrib>Hong, Qingguo ; Hu, Jun ; Shu, Shi ; Xu, Jinchao</creatorcontrib><description>In this paper, we present a discontinuous Galerkin （DG） method based on the N@d@lec finite element space for solving a fourth-order curl equation arising from a magnetohy- drodynamics model on a 3-dimensional bounded Lipschitz polyhedron. We show that the method has an optimal error estimate for a model problem involving a fourth-order curl operator. Furthermore, some numerical results in 2 dimensions are presented to verify the theoretical results.</description><identifier>ISSN: 0254-9409</identifier><identifier>EISSN: 1991-7139</identifier><identifier>DOI: 10.4208/jcm.1206-m3572</identifier><language>eng</language><publisher>Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences</publisher><subject>Coercivity ; Curl ; Estimation methods ; Finite element method ; Galerkin methods ; Lipschitz ; Mathematical discontinuity ; Maxwell equations ; Navier Stokes equation ; Simulations ; 四阶 ; 数值结果 ; 最优误差估计 ; 有限元方法 ; 有限元解 ; 模型问题 ; 间断有限元</subject><ispartof>Journal of computational mathematics, 2012-11, Vol.30 (6), p.565-578</ispartof><rights>Copyright 2012 AMSS, Chinese Academy of Sciences</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c327t-5dd91e8629278d2f4c94bf5dae412626cc579cc0bb4584df218673c13dc31ec3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/85761X/85761X.jpg</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/43693724$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/43693724$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,776,780,799,828,27901,27902,57992,57996,58225,58229</link.rule.ids></links><search><creatorcontrib>Hong, Qingguo</creatorcontrib><creatorcontrib>Hu, Jun</creatorcontrib><creatorcontrib>Shu, Shi</creatorcontrib><creatorcontrib>Xu, Jinchao</creatorcontrib><title>A DISCONTINUOUS GALERKIN METHOD FOR THE FOURTH-ORDER CURL PROBLEM</title><title>Journal of computational mathematics</title><addtitle>Journal of Computational Mathematics</addtitle><description>In this paper, we present a discontinuous Galerkin （DG） method based on the N@d@lec finite element space for solving a fourth-order curl equation arising from a magnetohy- drodynamics model on a 3-dimensional bounded Lipschitz polyhedron. We show that the method has an optimal error estimate for a model problem involving a fourth-order curl operator. Furthermore, some numerical results in 2 dimensions are presented to verify the theoretical results.</description><subject>Coercivity</subject><subject>Curl</subject><subject>Estimation methods</subject><subject>Finite element method</subject><subject>Galerkin methods</subject><subject>Lipschitz</subject><subject>Mathematical discontinuity</subject><subject>Maxwell equations</subject><subject>Navier Stokes equation</subject><subject>Simulations</subject><subject>四阶</subject><subject>数值结果</subject><subject>最优误差估计</subject><subject>有限元方法</subject><subject>有限元解</subject><subject>模型问题</subject><subject>间断有限元</subject><issn>0254-9409</issn><issn>1991-7139</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNpFj8FPwjAchRujiYhevZnUP6Cz_bVr1-Mcgy0Oasp2XqDbECKgGxf-e4cQPb3De99LPoQeGfUE0OBl47YeAyrJlvsKrtCAac2IYlxfowEFXxAtqL5Fd123oZRyEGqAwhCP0nlkZnk6K0wxx5Mwi-1bOsPTOE_MCI-NxXkS91nYPCHGjmKLo8Jm-N2a1yye3qObZvHZ1Q-XHKJ8HOdRQjIzSaMwI46DOhC_qjSrAwkaVFBBI5wWy8avFrVgIEE65yvtHF0uhR-IqgEWSMUd45XjrHZ8iLzzrWv3XdfWTfnVrreL9lgyWp78y96_PPmXv_498HQGNt1h3_6tBZeaKxB9_3w5_NjvVt_r3ep_I6QGRhn_Ad9uXRY</recordid><startdate>20121101</startdate><enddate>20121101</enddate><creator>Hong, Qingguo</creator><creator>Hu, Jun</creator><creator>Shu, Shi</creator><creator>Xu, Jinchao</creator><general>Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20121101</creationdate><title>A DISCONTINUOUS GALERKIN METHOD FOR THE FOURTH-ORDER CURL PROBLEM</title><author>Hong, Qingguo ; Hu, Jun ; Shu, Shi ; Xu, Jinchao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c327t-5dd91e8629278d2f4c94bf5dae412626cc579cc0bb4584df218673c13dc31ec3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Coercivity</topic><topic>Curl</topic><topic>Estimation methods</topic><topic>Finite element method</topic><topic>Galerkin methods</topic><topic>Lipschitz</topic><topic>Mathematical discontinuity</topic><topic>Maxwell equations</topic><topic>Navier Stokes equation</topic><topic>Simulations</topic><topic>四阶</topic><topic>数值结果</topic><topic>最优误差估计</topic><topic>有限元方法</topic><topic>有限元解</topic><topic>模型问题</topic><topic>间断有限元</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hong, Qingguo</creatorcontrib><creatorcontrib>Hu, Jun</creatorcontrib><creatorcontrib>Shu, Shi</creatorcontrib><creatorcontrib>Xu, Jinchao</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><jtitle>Journal of computational mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hong, Qingguo</au><au>Hu, Jun</au><au>Shu, Shi</au><au>Xu, Jinchao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A DISCONTINUOUS GALERKIN METHOD FOR THE FOURTH-ORDER CURL PROBLEM</atitle><jtitle>Journal of computational mathematics</jtitle><addtitle>Journal of Computational Mathematics</addtitle><date>2012-11-01</date><risdate>2012</risdate><volume>30</volume><issue>6</issue><spage>565</spage><epage>578</epage><pages>565-578</pages><issn>0254-9409</issn><eissn>1991-7139</eissn><abstract>In this paper, we present a discontinuous Galerkin （DG） method based on the N@d@lec finite element space for solving a fourth-order curl equation arising from a magnetohy- drodynamics model on a 3-dimensional bounded Lipschitz polyhedron. We show that the method has an optimal error estimate for a model problem involving a fourth-order curl operator. Furthermore, some numerical results in 2 dimensions are presented to verify the theoretical results.</abstract><pub>Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences</pub><doi>10.4208/jcm.1206-m3572</doi><tpages>14</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0254-9409 |
| ispartof | Journal of computational mathematics, 2012-11, Vol.30 (6), p.565-578 |
| issn | 0254-9409 1991-7139 |
| language | eng |
| recordid | cdi_crossref_primary_10_4208_jcm_1206_m3572 |
| source | Jstor Complete Legacy; JSTOR Mathematics & Statistics |
| subjects | Coercivity Curl Estimation methods Finite element method Galerkin methods Lipschitz Mathematical discontinuity Maxwell equations Navier Stokes equation Simulations 四阶 数值结果 最优误差估计 有限元方法 有限元解 模型问题 间断有限元 |
| title | A DISCONTINUOUS GALERKIN METHOD FOR THE FOURTH-ORDER CURL PROBLEM |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-10T21%3A38%3A22IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20DISCONTINUOUS%20GALERKIN%20METHOD%20FOR%20THE%20FOURTH-ORDER%20CURL%20PROBLEM&rft.jtitle=Journal%20of%20computational%20mathematics&rft.au=Hong,%20Qingguo&rft.date=2012-11-01&rft.volume=30&rft.issue=6&rft.spage=565&rft.epage=578&rft.pages=565-578&rft.issn=0254-9409&rft.eissn=1991-7139&rft_id=info:doi/10.4208/jcm.1206-m3572&rft_dat=%3Cjstor_cross%3E43693724%3C/jstor_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_cqvip_id=44692101&rft_jstor_id=43693724&rfr_iscdi=true |