{"id":"https://openalex.org/W2043140788","doi":"https://doi.org/10.1137/s003614290241790x","title":"Mixed Discontinuous Galerkin Approximation of the Maxwell Operator","display_name":"Mixed Discontinuous Galerkin Approximation of the Maxwell Operator","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2043140788","doi":"https://doi.org/10.1137/s003614290241790x","mag":"2043140788"},"language":"en","primary_location":{"id":"doi:10.1137/s003614290241790x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003614290241790x","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":["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/A5035584552","display_name":"Paul Houston","orcid":"https://orcid.org/0000-0002-3588-2029"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paul Houston","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","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":"Ilaria Perugia","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000032948","display_name":"Dominik Sch\u00f6tzau","orcid":null},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Dominik Schotzau","raw_affiliation_strings":["University of British Columbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of British Columbia","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.4707,"has_fulltext":false,"cited_by_count":125,"citation_normalized_percentile":{"value":0.98784983,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"42","issue":"1","first_page":"434","last_page":"459"},"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":1.0,"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":1.0,"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":0.9994000196456909,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991000294685364,"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":0.881880521774292},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.7955840826034546},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7637699842453003},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6994110345840454},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6475344300270081},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.6277497410774231},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5879486203193665},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.580670177936554},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.575308620929718},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5543837547302246},{"id":"https://openalex.org/keywords/constant-coefficients","display_name":"Constant coefficients","score":0.49576959013938904},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.43607717752456665},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4044925272464752}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.881880521774292},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.7955840826034546},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7637699842453003},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6994110345840454},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6475344300270081},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.6277497410774231},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5879486203193665},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.580670177936554},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.575308620929718},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5543837547302246},{"id":"https://openalex.org/C110342517","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Constant coefficients","level":2,"score":0.49576959013938904},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.43607717752456665},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4044925272464752},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s003614290241790x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003614290241790x","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:CiteSeerX.psu:10.1.1.71.6800","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.71.6800","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.pims.math.ca/publications/preprints/houston-perugia-schotzau_20-01-04.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W70071832","https://openalex.org/W118518747","https://openalex.org/W292702009","https://openalex.org/W1507767947","https://openalex.org/W1528562574","https://openalex.org/W1600997507","https://openalex.org/W1852082788","https://openalex.org/W1978324465","https://openalex.org/W1991960225","https://openalex.org/W1998829387","https://openalex.org/W2015109371","https://openalex.org/W2015804955","https://openalex.org/W2032997846","https://openalex.org/W2039747090","https://openalex.org/W2047861338","https://openalex.org/W2054933336","https://openalex.org/W2064909895","https://openalex.org/W2067527388","https://openalex.org/W2068798260","https://openalex.org/W2071704402","https://openalex.org/W2072247902","https://openalex.org/W2082741499","https://openalex.org/W2085152406","https://openalex.org/W2087592144","https://openalex.org/W2130350269","https://openalex.org/W2305553583","https://openalex.org/W3149667697","https://openalex.org/W4252060206"],"related_works":["https://openalex.org/W2982093746","https://openalex.org/W3043435143","https://openalex.org/W1528754490","https://openalex.org/W69679081","https://openalex.org/W2162026849","https://openalex.org/W154187677","https://openalex.org/W2394687667","https://openalex.org/W1995357705","https://openalex.org/W2106524561","https://openalex.org/W2042998516"],"abstract_inverted_index":{"We":[0],"introduce":[1],"and":[2,49,72],"analyze":[3],"a":[4],"discontinuous":[5,30],"Galerkin":[6],"discretization":[7],"of":[8,19,23,34,63],"the":[9,17,20,35,42,55,61,64],"Maxwell":[10],"operator":[11],"in":[12],"mixed":[13],"form.":[14],"Here,":[15],"all":[16],"unknowns":[18],"underlying":[21],"system":[22],"partial":[24],"differential":[25],"equations":[26],"are":[27,76],"approximated":[28],"by":[29],"finite":[31],"element":[32],"spaces":[33],"same":[36],"order.":[37],"For":[38],"piecewise":[39],"constant":[40],"coefficients,":[41],"method":[43,66],"is":[44],"shown":[45],"to":[46,54],"be":[47],"stable":[48],"optimally":[50],"convergent":[51],"with":[52,69],"respect":[53],"mesh":[56],"size.":[57],"Numerical":[58],"experiments":[59],"highlighting":[60],"performance":[62],"proposed":[65],"for":[67],"problems":[68],"both":[70],"smooth":[71],"singular":[73],"analytical":[74],"solutions":[75],"presented.":[77]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
