{"id":"https://openalex.org/W2981199504","doi":"https://doi.org/10.1137/19m1293818","title":"Computational Homogenization of Time-Harmonic Maxwell's Equations","display_name":"Computational Homogenization of Time-Harmonic Maxwell's Equations","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2981199504","doi":"https://doi.org/10.1137/19m1293818","mag":"2981199504"},"language":"en","primary_location":{"id":"doi:10.1137/19m1293818","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1293818","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.07390","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061248986","display_name":"Patrick Henning","orcid":"https://orcid.org/0000-0002-6432-5504"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Patrick Henning","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-6432-5504","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101902361","display_name":"A Erik G Persson","orcid":"https://orcid.org/0000-0003-3159-8239"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anna Persson","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-3159-8239","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2914,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60223866,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"42","issue":"3","first_page":"B581","last_page":"B607"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},{"id":"https://openalex.org/T11558","display_name":"Composite Material Mechanics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.8330993056297302},{"id":"https://openalex.org/keywords/curl","display_name":"Curl (programming language)","score":0.8078213930130005},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.6335659027099609},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6049537658691406},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5652471780776978},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5112273693084717},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4227645695209503},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24298769235610962}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.8330993056297302},{"id":"https://openalex.org/C147663694","wikidata":"https://www.wikidata.org/wiki/Q1144631","display_name":"Curl (programming language)","level":2,"score":0.8078213930130005},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.6335659027099609},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6049537658691406},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5652471780776978},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5112273693084717},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4227645695209503},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24298769235610962},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m1293818","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1293818","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:arXiv.org:1910.07390","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.07390","pdf_url":"https://arxiv.org/pdf/1910.07390","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"mag:2981199504","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1910.07390","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"doi:10.48550/arxiv.1910.07390","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1910.07390","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.07390","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.07390","pdf_url":"https://arxiv.org/pdf/1910.07390","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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/G5714321922","display_name":null,"funder_award_id":"2016-03339","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"},{"id":"https://openalex.org/G6743019901","display_name":null,"funder_award_id":"2016-03339","funder_id":"https://openalex.org/F4320321033","funder_display_name":"Svenska Forskningsr\u00e5det Formas"}],"funders":[{"id":"https://openalex.org/F4320316588","display_name":"G\u00f6ran Gustafssons Stiftelser","ror":"https://ror.org/05s5h0e62"},{"id":"https://openalex.org/F4320321033","display_name":"Svenska Forskningsr\u00e5det Formas","ror":"https://ror.org/03pjs1y45"},{"id":"https://openalex.org/F4320321908","display_name":"G\u00f6ran Gustafssons Stiftelse f\u00f6r Naturvetenskaplig och Medicinsk Forskning","ror":"https://ror.org/05s5h0e62"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2981199504.pdf","grobid_xml":"https://content.openalex.org/works/W2981199504.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W73123583","https://openalex.org/W1582734821","https://openalex.org/W1707232380","https://openalex.org/W1970198065","https://openalex.org/W1980404981","https://openalex.org/W2005047411","https://openalex.org/W2011473263","https://openalex.org/W2015148405","https://openalex.org/W2016365515","https://openalex.org/W2028434980","https://openalex.org/W2050578943","https://openalex.org/W2088568870","https://openalex.org/W2115253932","https://openalex.org/W2118551467","https://openalex.org/W2138486270","https://openalex.org/W2140888248","https://openalex.org/W2143783905","https://openalex.org/W2147163151","https://openalex.org/W2151177334","https://openalex.org/W2153685664","https://openalex.org/W2205419184","https://openalex.org/W2326205531","https://openalex.org/W2330160922","https://openalex.org/W2542183312","https://openalex.org/W2558661249","https://openalex.org/W2566228990","https://openalex.org/W2602339190","https://openalex.org/W2602823576","https://openalex.org/W2604455516","https://openalex.org/W2621716444","https://openalex.org/W2906022956","https://openalex.org/W2942035531","https://openalex.org/W2950162043","https://openalex.org/W2962711776","https://openalex.org/W2963144416","https://openalex.org/W2963458162","https://openalex.org/W2963691989","https://openalex.org/W2963942779","https://openalex.org/W2964141517","https://openalex.org/W2964263997","https://openalex.org/W2969967878","https://openalex.org/W3102940808","https://openalex.org/W3103476862"],"related_works":["https://openalex.org/W2046278595","https://openalex.org/W3033056846","https://openalex.org/W1825883274","https://openalex.org/W2252024851","https://openalex.org/W3087478199","https://openalex.org/W3122849077","https://openalex.org/W3104921187","https://openalex.org/W639161990","https://openalex.org/W2154669285","https://openalex.org/W2468293384","https://openalex.org/W2947802724","https://openalex.org/W2057145666","https://openalex.org/W3088528095","https://openalex.org/W2949505023","https://openalex.org/W3035325593","https://openalex.org/W3013129702","https://openalex.org/W3047590843","https://openalex.org/W2145321474","https://openalex.org/W2950778559","https://openalex.org/W2937878441"],"abstract_inverted_index":{"In":[0,76],"this":[1,77],"paper":[2],"we":[3,79,92],"consider":[4],"a":[5,67,98],"numerical":[6,100,126],"homogenization":[7,53],"technique":[8],"for":[9,39,55],"curl-curl-problems":[10],"that":[11,60,94],"is":[12],"based":[13],"on":[14],"the":[15,18,48,56,71,81,95,109,114],"framework":[16],"of":[17,47,64,70,108],"Localized":[19],"Orthogonal":[20],"Decomposition":[21],"and":[22,91,117,131],"which":[23],"was":[24,73],"proposed":[25],"in":[26,129],"[D.":[27],"Gallistl,":[28],"P.":[29],"Henning,":[30],"B.":[31],"Verf\u00fcrth.":[32],"SIAM":[33],"J.":[34],"Numer.":[35],"Anal.":[36],"56-3:1570-1596,":[37],"2018]":[38],"problems":[40],"with":[41],"essential":[42,84],"boundary":[43,85,89,106],"conditions.":[44],"The":[45],"findings":[46,82,120],"aforementioned":[49],"work":[50],"establish":[51],"quantitative":[52],"results":[54],"time-harmonic":[57],"Maxwell's":[58],"equations":[59],"hold":[61],"beyond":[62],"assumptions":[63],"periodicity,":[65],"however,":[66],"practical":[68],"realization":[69],"approach":[72,96],"left":[74],"open.":[75],"paper,":[78],"transfer":[80],"from":[83],"conditions":[86,90],"to":[87],"natural":[88],"demonstrate":[93],"yields":[97],"computable":[99],"method.":[101],"We":[102],"also":[103],"investigate":[104],"how":[105],"values":[107],"source":[110],"term":[111],"can":[112],"effect":[113],"computational":[115],"complexity":[116],"accuracy.":[118],"Our":[119],"will":[121],"be":[122],"supported":[123],"by":[124],"various":[125],"experiments,":[127],"both":[128],"$2D$":[130],"$3D$.":[132]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}