{"id":"https://openalex.org/W2095471433","doi":"https://doi.org/10.1137/s1064827598333211","title":"Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems","display_name":"Linear Algebra Methods in a Mixed Approximation of Magnetostatic Problems","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2095471433","doi":"https://doi.org/10.1137/s1064827598333211","mag":"2095471433"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827598333211","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827598333211","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/A5014923839","display_name":"Ilaria Perugia","orcid":"https://orcid.org/0000-0003-1368-2883"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I. Perugia","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081841768","display_name":"Valeria Simoncini","orcid":"https://orcid.org/0000-0003-0795-5865"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. Simoncini","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5111911025","display_name":"M. Arioli","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Arioli","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.8736,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.9644646,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"21","issue":"3","first_page":"1085","last_page":"1101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7419600486755371},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.731509804725647},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.56695955991745},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5619126558303833},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5612128973007202},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5310592651367188},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.5028271079063416},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49586376547813416},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.45782575011253357},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4490264356136322},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40569359064102173},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37467116117477417},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2889283001422882},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15015462040901184},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12947845458984375}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7419600486755371},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.731509804725647},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.56695955991745},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5619126558303833},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5612128973007202},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5310592651367188},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.5028271079063416},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49586376547813416},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.45782575011253357},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4490264356136322},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40569359064102173},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37467116117477417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2889283001422882},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15015462040901184},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12947845458984375},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s1064827598333211","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827598333211","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:cris.unibo.it:11585/1036406","is_oa":false,"landing_page_url":"https://hdl.handle.net/11585/1036406","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W89281171","https://openalex.org/W1546004968","https://openalex.org/W1575701986","https://openalex.org/W1852082788","https://openalex.org/W1965470970","https://openalex.org/W1973312823","https://openalex.org/W1979359234","https://openalex.org/W1982893859","https://openalex.org/W1988796619","https://openalex.org/W1999331305","https://openalex.org/W2005256842","https://openalex.org/W2006036027","https://openalex.org/W2014523702","https://openalex.org/W2017990779","https://openalex.org/W2018850201","https://openalex.org/W2024621437","https://openalex.org/W2030327292","https://openalex.org/W2033986961","https://openalex.org/W2037144335","https://openalex.org/W2052602889","https://openalex.org/W2055116131","https://openalex.org/W2062292779","https://openalex.org/W2062618977","https://openalex.org/W2072970698","https://openalex.org/W2078843646","https://openalex.org/W2081523040","https://openalex.org/W2085581918","https://openalex.org/W2106724205","https://openalex.org/W2113541974","https://openalex.org/W2118717339","https://openalex.org/W2129633297","https://openalex.org/W2130812575","https://openalex.org/W2156779443","https://openalex.org/W2162482821","https://openalex.org/W2164374667","https://openalex.org/W2164762895","https://openalex.org/W2171794532","https://openalex.org/W2249508874","https://openalex.org/W3149667697","https://openalex.org/W4251922113"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W4247704229","https://openalex.org/W4225411471","https://openalex.org/W582364689","https://openalex.org/W2541180809","https://openalex.org/W2138831083","https://openalex.org/W2770381769","https://openalex.org/W3184983074","https://openalex.org/W2021940933"],"abstract_inverted_index":{"In":[0,84],"the":[1,6,15,30,37,41,74,88,113,130,137,140],"solution":[2,75],"of":[3,8,40,49,56,76,90,123,139],"magnetostatic":[4],"problems":[5],"use":[7],"a":[9,57,63],"mixed":[10],"formulation":[11],"based":[12],"on":[13,102,129],"both":[14],"magnetic":[16,18],"and":[17,34,94,98,105],"displacement":[19],"fields":[20],"is":[21,71],"particularly":[22],"appropriate":[23,121],"as":[24],"it":[25],"allows":[26],"us":[27],"to":[28,35,144],"impose":[29],"physical":[31],"conditions":[32],"exactly":[33],"maintain":[36],"continuity":[38],"properties":[39],"two":[42],"fields,":[43],"together":[44],"with":[45,73],"an":[46],"efficient":[47],"treatment":[48],"boundary":[50],"conditions.":[51],"The":[52],"discretization":[53],"by":[54,120],"means":[55],"proper":[58],"finite":[59],"element":[60],"method":[61],"yields":[62],"strongly":[64],"structured":[65],"algebraic":[66],"linear":[67,82],"system.":[68,83],"This":[69],"paper":[70],"concerned":[72],"this":[77],"large,":[78],"very":[79],"sparse":[80],"indefinite":[81],"particular,":[85],"we":[86],"present":[87],"implementation":[89],"some":[91,134],"known":[92],"direct":[93],"preconditioned":[95],"iterative":[96],"methods":[97],"discuss":[99],"their":[100],"performance":[101],"two-dimensional":[103],"(2-D)":[104],"three-dimensional":[106],"(3-D)":[107],"specific":[108],"models.":[109],"We":[110],"show":[111],"that":[112,142],"2-D":[114],"system":[115,132],"can":[116],"be":[117,145],"efficiently":[118],"handled":[119],"variants":[122],"these":[124],"schemes,":[125],"while":[126],"preliminary":[127],"tests":[128],"3-D":[131],"give":[133],"insight":[135],"in":[136],"understanding":[138],"analysis":[141],"needs":[143],"done.":[146]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
