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Efficiency of high-order elements for continuous and discontinuous Galerkin methods

Antonio Huerta, Aleksandar Angeloski, Xevi Roca, Jaime Peraire, Antonio Huerta Cerezuela

International Journal for Numerical Methods in Engineering, Volume: 96, Issue: 9, Pages: 529 - 560

Swansea University Author: Antonio Huerta Cerezuela

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DOI (Published version): 10.1002/nme.4547

Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981
Published: 2013
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URI: https://cronfa.swan.ac.uk/Record/cronfa15357
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first_indexed 2013-08-22T01:57:44Z
last_indexed 2018-02-09T04:47:16Z
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fullrecord <?xml version="1.0"?><rfc1807><datestamp>2016-08-17T13:16:38.2802592</datestamp><bib-version>v2</bib-version><id>15357</id><entry>2013-07-31</entry><title>Efficiency of high-order elements for continuous and discontinuous Galerkin methods</title><swanseaauthors><author><sid>d87796289609bf34dd174c27e41a05d6</sid><firstname>Antonio</firstname><surname>Huerta Cerezuela</surname><name>Antonio Huerta Cerezuela</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2013-07-31</date><abstract></abstract><type>Journal Article</type><journal>International Journal for Numerical Methods in Engineering</journal><volume>96</volume><journalNumber>9</journalNumber><paginationStart>529</paginationStart><paginationEnd>560</paginationEnd><publisher/><issnPrint>0029-5981</issnPrint><keywords/><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2013</publishedYear><publishedDate>2013-12-31</publishedDate><doi>10.1002/nme.4547</doi><url/><notes>Recently, our community has debated the efficiency of high-order methods compared to low-order ones. Some authors advocate high order while others strongly urge use of low-order approaches. This paper settles the discussion using operation counts (no runtime, no asymptotic work,...) for every aspect of the computation and each element type. Local and global operations are accounted for. Moreover, it also compares continuous and discontinuous approaches. This is crucial for new software development and was developed within a European Initial Training Network in collaboration with Free Field Technologies, recently bought by MSC Software Corporation (Nastran).</notes><college>COLLEGE NANME</college><CollegeCode>COLLEGE CODE</CollegeCode><institution>Swansea University</institution><apcterm/><lastEdited>2016-08-17T13:16:38.2802592</lastEdited><Created>2013-07-31T19:23:23.6556937</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Engineering and Applied Sciences - Uncategorised</level></path><authors><author><firstname>Antonio</firstname><surname>Huerta</surname><order>1</order></author><author><firstname>Aleksandar</firstname><surname>Angeloski</surname><order>2</order></author><author><firstname>Xevi</firstname><surname>Roca</surname><order>3</order></author><author><firstname>Jaime</firstname><surname>Peraire</surname><order>4</order></author><author><firstname>Antonio</firstname><surname>Huerta Cerezuela</surname><order>5</order></author></authors><documents/><OutputDurs/></rfc1807>
spelling 2016-08-17T13:16:38.2802592 v2 15357 2013-07-31 Efficiency of high-order elements for continuous and discontinuous Galerkin methods d87796289609bf34dd174c27e41a05d6 Antonio Huerta Cerezuela Antonio Huerta Cerezuela true false 2013-07-31 Journal Article International Journal for Numerical Methods in Engineering 96 9 529 560 0029-5981 31 12 2013 2013-12-31 10.1002/nme.4547 Recently, our community has debated the efficiency of high-order methods compared to low-order ones. Some authors advocate high order while others strongly urge use of low-order approaches. This paper settles the discussion using operation counts (no runtime, no asymptotic work,...) for every aspect of the computation and each element type. Local and global operations are accounted for. Moreover, it also compares continuous and discontinuous approaches. This is crucial for new software development and was developed within a European Initial Training Network in collaboration with Free Field Technologies, recently bought by MSC Software Corporation (Nastran). COLLEGE NANME COLLEGE CODE Swansea University 2016-08-17T13:16:38.2802592 2013-07-31T19:23:23.6556937 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Antonio Huerta 1 Aleksandar Angeloski 2 Xevi Roca 3 Jaime Peraire 4 Antonio Huerta Cerezuela 5
title Efficiency of high-order elements for continuous and discontinuous Galerkin methods
spellingShingle Efficiency of high-order elements for continuous and discontinuous Galerkin methods
Antonio Huerta Cerezuela
title_short Efficiency of high-order elements for continuous and discontinuous Galerkin methods
title_full Efficiency of high-order elements for continuous and discontinuous Galerkin methods
title_fullStr Efficiency of high-order elements for continuous and discontinuous Galerkin methods
title_full_unstemmed Efficiency of high-order elements for continuous and discontinuous Galerkin methods
title_sort Efficiency of high-order elements for continuous and discontinuous Galerkin methods
author_id_str_mv d87796289609bf34dd174c27e41a05d6
author_id_fullname_str_mv d87796289609bf34dd174c27e41a05d6_***_Antonio Huerta Cerezuela
author Antonio Huerta Cerezuela
author2 Antonio Huerta
Aleksandar Angeloski
Xevi Roca
Jaime Peraire
Antonio Huerta Cerezuela
format Journal article
container_title International Journal for Numerical Methods in Engineering
container_volume 96
container_issue 9
container_start_page 529
publishDate 2013
institution Swansea University
issn 0029-5981
doi_str_mv 10.1002/nme.4547
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 0
active_str 0
published_date 2013-12-31T03:17:31Z
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score 11.013371

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