{"id":"https://openalex.org/W2023660255","doi":"https://doi.org/10.1137/140967404","title":"Mimetic Methods for Lagrangian Relaxation of Magnetic Fields","display_name":"Mimetic Methods for Lagrangian Relaxation of Magnetic Fields","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2023660255","doi":"https://doi.org/10.1137/140967404","mag":"2023660255"},"language":"en","primary_location":{"id":"doi:10.1137/140967404","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140967404","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039568560","display_name":"Simon Candelaresi","orcid":"https://orcid.org/0000-0002-7666-8504"},"institutions":[{"id":"https://openalex.org/I177639307","display_name":"University of Dundee","ror":"https://ror.org/03h2bxq36","country_code":"GB","type":"education","lineage":["https://openalex.org/I177639307"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"S. Candelaresi","raw_affiliation_strings":["Division of Mathematics, University of Dundee, Dundee, UK"],"affiliations":[{"raw_affiliation_string":"Division of Mathematics, University of Dundee, Dundee, UK","institution_ids":["https://openalex.org/I177639307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022085047","display_name":"D. I. Pontin","orcid":"https://orcid.org/0000-0002-1089-9270"},"institutions":[{"id":"https://openalex.org/I177639307","display_name":"University of Dundee","ror":"https://ror.org/03h2bxq36","country_code":"GB","type":"education","lineage":["https://openalex.org/I177639307"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"D. Pontin","raw_affiliation_strings":["Division of Mathematics, University of Dundee, Dundee, UK"],"affiliations":[{"raw_affiliation_string":"Division of Mathematics, University of Dundee, Dundee, UK","institution_ids":["https://openalex.org/I177639307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066018144","display_name":"G. Hornig","orcid":"https://orcid.org/0000-0003-0981-2761"},"institutions":[{"id":"https://openalex.org/I177639307","display_name":"University of Dundee","ror":"https://ror.org/03h2bxq36","country_code":"GB","type":"education","lineage":["https://openalex.org/I177639307"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"G. Hornig","raw_affiliation_strings":["Division of Mathematics, University of Dundee, Dundee, UK"],"affiliations":[{"raw_affiliation_string":"Division of Mathematics, University of Dundee, Dundee, UK","institution_ids":["https://openalex.org/I177639307"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039568560"],"corresponding_institution_ids":["https://openalex.org/I177639307"],"apc_list":null,"apc_paid":null,"fwci":4.8258,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.94512211,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"36","issue":"6","first_page":"B952","last_page":"B968"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10346","display_name":"Magnetic confinement fusion research","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10346","display_name":"Magnetic confinement fusion research","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.6620197296142578},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.6456692218780518},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6043843030929565},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5454273223876953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5365265607833862},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5046180486679077},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4909704029560089},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4867270290851593},{"id":"https://openalex.org/keywords/magnetic-flux","display_name":"Magnetic flux","score":0.44243887066841125},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4214811325073242},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37993475794792175},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3764760494232178},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34200647473335266},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.329547643661499},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.31366443634033203},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25166264176368713},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19227558374404907},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09551745653152466}],"concepts":[{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.6620197296142578},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.6456692218780518},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6043843030929565},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5454273223876953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5365265607833862},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5046180486679077},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4909704029560089},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4867270290851593},{"id":"https://openalex.org/C157479481","wikidata":"https://www.wikidata.org/wiki/Q177831","display_name":"Magnetic flux","level":3,"score":0.44243887066841125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4214811325073242},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37993475794792175},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3764760494232178},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34200647473335266},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.329547643661499},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31366443634033203},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25166264176368713},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19227558374404907},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09551745653152466},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/140967404","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140967404","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:discovery.dundee.ac.uk:openaire_cris_publications/f0d980dd-7f22-4abc-b4c2-600df7d66652","is_oa":false,"landing_page_url":"https://discovery.dundee.ac.uk/en/publications/f0d980dd-7f22-4abc-b4c2-600df7d66652","pdf_url":null,"source":{"id":"https://openalex.org/S4306400523","display_name":"Discovery Research Portal (University of Dundee)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177639307","host_organization_name":"University of Dundee","host_organization_lineage":["https://openalex.org/I177639307"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Candelaresi, S, Pontin, D & Hornig, G 2014, 'Mimetic methods for Lagrangian relaxation of magnetic fields', SIAM Journal on Scientific Computing, vol. 36, no. 6, pp. B952-B968. https://doi.org/10.1137/140967404","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:eprints.gla.ac.uk:202976","is_oa":false,"landing_page_url":"http://eprints.gla.ac.uk/202976/","pdf_url":null,"source":{"id":"https://openalex.org/S4210235606","display_name":"ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam)","issn_l":"2622-8912","issn":["2622-8912","2622-8920"],"is_oa":false,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Articles"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:114938","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/114938","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8600000143051147,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1833903074","display_name":null,"funder_award_id":"K40 GPU","funder_id":"https://openalex.org/F4320309480","funder_display_name":"Nvidia"},{"id":"https://openalex.org/G2010355708","display_name":null,"funder_award_id":"Tesla K40 GPU","funder_id":"https://openalex.org/F4320309480","funder_display_name":"Nvidia"},{"id":"https://openalex.org/G2493988760","display_name":null,"funder_award_id":"STK/K000993/1","funder_id":"https://openalex.org/F4320334632","funder_display_name":"Science and Technology Facilities Council"},{"id":"https://openalex.org/G5801408398","display_name":null,"funder_award_id":"Tesla K40","funder_id":"https://openalex.org/F4320309480","funder_display_name":"Nvidia"},{"id":"https://openalex.org/G7008147028","display_name":null,"funder_award_id":"ST/K000993/1","funder_id":"https://openalex.org/F4320334632","funder_display_name":"Science and Technology Facilities Council"}],"funders":[{"id":"https://openalex.org/F4320309480","display_name":"Nvidia","ror":"https://ror.org/03jdj4y14"},{"id":"https://openalex.org/F4320334632","display_name":"Science and Technology Facilities Council","ror":"https://ror.org/057g20z61"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W13242322","https://openalex.org/W1664975983","https://openalex.org/W1680790555","https://openalex.org/W1963560031","https://openalex.org/W1965816824","https://openalex.org/W1972259422","https://openalex.org/W1980297358","https://openalex.org/W1982754665","https://openalex.org/W1991468392","https://openalex.org/W1997727808","https://openalex.org/W2009264854","https://openalex.org/W2016155559","https://openalex.org/W2018726079","https://openalex.org/W2025734987","https://openalex.org/W2028499920","https://openalex.org/W2054110777","https://openalex.org/W2059121492","https://openalex.org/W2090288646","https://openalex.org/W2094862195","https://openalex.org/W2100663598","https://openalex.org/W2139482396","https://openalex.org/W2161360920","https://openalex.org/W2169269621","https://openalex.org/W2432517183","https://openalex.org/W3004157836","https://openalex.org/W3009395206","https://openalex.org/W3098161691","https://openalex.org/W3104189138","https://openalex.org/W3104265719","https://openalex.org/W3106401456","https://openalex.org/W3138798301"],"related_works":["https://openalex.org/W2002102264","https://openalex.org/W4237964977","https://openalex.org/W2155100848","https://openalex.org/W2075228635","https://openalex.org/W3183857959","https://openalex.org/W4243844638","https://openalex.org/W3097196196","https://openalex.org/W2780775897","https://openalex.org/W3149469165","https://openalex.org/W2195430740"],"abstract_inverted_index":{"We":[0,114],"present":[1],"a":[2,7,10,14,20,106,110,119],"new":[3],"code":[4,120],"that":[5,45,98],"performs":[6],"relaxation":[8,137],"of":[9,27,32,62,87,102],"magnetic":[11,47,57,63],"field":[12,48,64],"toward":[13],"force-free":[15,107],"state":[16,101,108],"(Beltrami":[17],"field)":[18],"using":[19,93],"Lagrangian":[21],"numerical":[22,52],"scheme.":[23],"Beltrami":[24],"fields":[25],"are":[26,40],"interest":[28],"for":[29,75,84],"the":[30,41,46,56,60,76,88,99,103,116],"dynamics":[31],"many":[33],"technical":[34],"and":[35,59],"astrophysical":[36],"plasmas":[37],"as":[38],"they":[39],"lowest":[42],"energy":[43],"states":[44],"can":[49],"reach.":[50],"The":[51],"method":[53],"strictly":[54],"preserves":[55],"flux":[58],"topology":[61],"lines.":[65],"In":[66],"contrast":[67],"to":[68,81,129,135],"other":[69],"implementations":[70],"we":[71,96],"use":[72],"mimetic":[73],"operators":[74],"spatial":[77],"derivatives":[78,95],"in":[79,118],"order":[80],"improve":[82],"accuracy":[83],"high":[85],"distortions":[86],"grid.":[89],"Compared":[90],"with":[91,109],"schemes":[92],"direct":[94],"find":[97],"final":[100],"simulation":[104],"approximates":[105],"significantly":[111],"higher":[112],"accuracy.":[113],"implement":[115],"scheme":[117],"which":[121,127],"runs":[122],"on":[123],"graphical":[124],"processing":[125],"units,":[126],"leads":[128],"an":[130],"enhanced":[131],"computing":[132],"speed":[133],"compared":[134],"previous":[136],"codes.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}