{"id":"https://openalex.org/W2795697329","doi":"https://doi.org/10.1137/18m1179389","title":"Adaptive Finite Element Method for the Maxwell Eigenvalue Problem","display_name":"Adaptive Finite Element Method for the Maxwell Eigenvalue Problem","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2795697329","doi":"https://doi.org/10.1137/18m1179389","mag":"2795697329"},"language":"en","primary_location":{"id":"doi:10.1137/18m1179389","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1179389","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1804.02377","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041296620","display_name":"Daniele Boffi","orcid":"https://orcid.org/0000-0003-0717-2940"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Daniele Boffi","raw_affiliation_strings":["University of Pavia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Pavia","institution_ids":["https://openalex.org/I25217355"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056149764","display_name":"Lucia Gastaldi","orcid":"https://orcid.org/0000-0002-8392-0069"},"institutions":[{"id":"https://openalex.org/I30667456","display_name":"Brescia University","ror":"https://ror.org/015ahgd08","country_code":"US","type":"education","lineage":["https://openalex.org/I30667456"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lucia Gastaldi","raw_affiliation_strings":["* University of Brescia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"* University of Brescia","institution_ids":["https://openalex.org/I30667456"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00511339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"57","issue":"1","first_page":"478","last_page":"494"},"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":0.9937999844551086,"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":0.9937999844551086,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9872000217437744,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7655661106109619},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.700556755065918},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.6610770225524902},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6587485671043396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6262652277946472},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5117954611778259},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5069646835327148},{"id":"https://openalex.org/keywords/divide-and-conquer-eigenvalue-algorithm","display_name":"Divide-and-conquer eigenvalue algorithm","score":0.47379347681999207},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4703681170940399},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4399578869342804},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.42128023505210876},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20217230916023254},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16408082842826843}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7655661106109619},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.700556755065918},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.6610770225524902},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6587485671043396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6262652277946472},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5117954611778259},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5069646835327148},{"id":"https://openalex.org/C192702615","wikidata":"https://www.wikidata.org/wiki/Q5283998","display_name":"Divide-and-conquer eigenvalue algorithm","level":3,"score":0.47379347681999207},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4703681170940399},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4399578869342804},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.42128023505210876},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20217230916023254},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16408082842826843},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1137/18m1179389","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1179389","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1804.02377","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1804.02377","pdf_url":"https://arxiv.org/pdf/1804.02377","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:arXiv.org:1804.02377","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1804.02377","pdf_url":"https://arxiv.org/pdf/1804.02377","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2795697329","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1804.02377.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/37386","is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/cfd23023-566b-4e39-b35a-aa2b6964da45","pdf_url":null,"source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unibs.it:11379/514143","is_oa":true,"landing_page_url":"http://hdl.handle.net/11379/514143","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1804.02377","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1804.02377","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1804.02377","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1804.02377","pdf_url":"https://arxiv.org/pdf/1804.02377","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1575657597","display_name":null,"funder_award_id":"20182022","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G3178914890","display_name":null,"funder_award_id":"2018-2022","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G4701719678","display_name":null,"funder_award_id":"2018-2022","funder_id":"https://openalex.org/F4320334079","funder_display_name":"Gruppo Nazionale per il Calcolo Scientifico"},{"id":"https://openalex.org/G575684798","display_name":null,"funder_award_id":"2018\u20132022","funder_id":"https://openalex.org/F4320317295","funder_display_name":"Dipartimenti di Eccellenza"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320317295","display_name":"Dipartimenti di Eccellenza","ror":null},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1977327835","https://openalex.org/W1978521024","https://openalex.org/W1979505556","https://openalex.org/W1981938400","https://openalex.org/W1986364072","https://openalex.org/W1989222896","https://openalex.org/W1989748191","https://openalex.org/W2009941208","https://openalex.org/W2009985306","https://openalex.org/W2012724865","https://openalex.org/W2016124790","https://openalex.org/W2025603126","https://openalex.org/W2032861904","https://openalex.org/W2039924562","https://openalex.org/W2044959876","https://openalex.org/W2048755574","https://openalex.org/W2051832450","https://openalex.org/W2053671897","https://openalex.org/W2061528771","https://openalex.org/W2062618977","https://openalex.org/W2064909895","https://openalex.org/W2065700840","https://openalex.org/W2066748360","https://openalex.org/W2069967320","https://openalex.org/W2070965803","https://openalex.org/W2072811159","https://openalex.org/W2080408545","https://openalex.org/W2081137717","https://openalex.org/W2084743165","https://openalex.org/W2103316269","https://openalex.org/W2107813568","https://openalex.org/W2118551467","https://openalex.org/W2143783905","https://openalex.org/W2150845965","https://openalex.org/W2157129549","https://openalex.org/W2962711883","https://openalex.org/W2963458162","https://openalex.org/W2964192538"],"related_works":["https://openalex.org/W2292569436","https://openalex.org/W2885992408","https://openalex.org/W2618004133","https://openalex.org/W2001399610","https://openalex.org/W108831666","https://openalex.org/W2041949318","https://openalex.org/W2468862302","https://openalex.org/W2231751449","https://openalex.org/W2807836094","https://openalex.org/W2962711883","https://openalex.org/W2593638015","https://openalex.org/W2626606868","https://openalex.org/W3121934762","https://openalex.org/W1992697096","https://openalex.org/W2990590919","https://openalex.org/W2068079525","https://openalex.org/W2184694197","https://openalex.org/W2187378278","https://openalex.org/W2896665189","https://openalex.org/W2035023851"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"prove":[4],"the":[5,19,22,25,35,39],"optimal":[6],"convergence":[7],"of":[8,21,24,38,41],"a":[9,44],"standard":[10],"adaptive":[11],"scheme":[12],"based":[13],"on":[14],"edge":[15],"finite":[16],"elements":[17],"for":[18],"approximation":[20],"solutions":[23],"eigenvalue":[26,46],"problem":[27,40],"associated":[28],"with":[29,43],"Maxwell's":[30],"equations.":[31],"The":[32],"proof":[33],"uses":[34],"known":[36],"equivalence":[37],"interest":[42],"mixed":[45],"problem.":[47]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
