{"id":"https://openalex.org/W7155832678","doi":"https://doi.org/10.48550/arxiv.2604.22502","title":"Numerical homogenization for indefinite time-harmonic Maxwell equations","display_name":"Numerical homogenization for indefinite time-harmonic Maxwell equations","publication_year":2026,"publication_date":"2026-04-24","ids":{"openalex":"https://openalex.org/W7155832678","doi":"https://doi.org/10.48550/arxiv.2604.22502"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.22502","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.22502","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":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.22502","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100735550","display_name":"Yueqi Wang","orcid":"https://orcid.org/0009-0008-0579-8468"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Yueqi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134686762","display_name":"Wing Tat Leung","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leung, Wing Tat","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5066860206","display_name":"Guanglian Li","orcid":"https://orcid.org/0000-0003-0615-2681"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Guanglian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9715999960899353,"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":0.9715999960899353,"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":0.013399999588727951,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.0035000001080334187,"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/homogenization","display_name":"Homogenization (climate)","score":0.8521999716758728},{"id":"https://openalex.org/keywords/wavenumber","display_name":"Wavenumber","score":0.6909999847412109},{"id":"https://openalex.org/keywords/maxwells-equations","display_name":"Maxwell's equations","score":0.6825000047683716},{"id":"https://openalex.org/keywords/scattering-matrix-method","display_name":"Scattering-matrix method","score":0.6190999746322632},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.532800018787384},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.4828999936580658},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4251999855041504},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.3564999997615814}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.8521999716758728},{"id":"https://openalex.org/C121130766","wikidata":"https://www.wikidata.org/wiki/Q192510","display_name":"Wavenumber","level":2,"score":0.6909999847412109},{"id":"https://openalex.org/C59282198","wikidata":"https://www.wikidata.org/wiki/Q51501","display_name":"Maxwell's equations","level":2,"score":0.6825000047683716},{"id":"https://openalex.org/C22480482","wikidata":"https://www.wikidata.org/wiki/Q7430620","display_name":"Scattering-matrix method","level":3,"score":0.6190999746322632},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5760999917984009},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.532800018787384},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4828999936580658},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.448199987411499},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4251999855041504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4205999970436096},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3564999997615814},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.3352000117301941},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.328000009059906},{"id":"https://openalex.org/C110367647","wikidata":"https://www.wikidata.org/wiki/Q497166","display_name":"Metamaterial","level":2,"score":0.3154999911785126},{"id":"https://openalex.org/C142259097","wikidata":"https://www.wikidata.org/wiki/Q5891314","display_name":"Homogeneity (statistics)","level":2,"score":0.30709999799728394},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.2928999960422516},{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.26969999074935913},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.2563000023365021},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.25279998779296875},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.22502","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.22502","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":"doi:10.48550/arxiv.2604.22502","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.22502","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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.5674569606781006,"display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,60,104,134],"novel":[3],"numerical":[4,148],"homogenization":[5],"method":[6,124],"based":[7],"on":[8,111,127],"the":[9,41,45,53,56,82,100,112,115,123,128,141],"edge":[10],"multiscale":[11],"approach":[12,91],"for":[13,27,86],"solving":[14],"indefinite":[15],"time-harmonic":[16],"Maxwell":[17],"equations":[18,29],"in":[19,30,67,73],"heterogeneous":[20,68],"media":[21,32],"with":[22,33],"large":[23],"wavenumber.":[24,116],"Numerical":[25],"methods":[26],"these":[28],"homogeneous":[31],"high":[34],"wavenumber":[35,57],"are":[36,150],"particularly":[37],"challenging":[38],"due":[39],"to":[40,58,152],"so-called":[42],"pollution":[43],"effect:":[44],"mesh":[46,105],"size":[47,106],"must":[48],"be":[49],"significantly":[50],"smaller":[51],"than":[52],"reciprocal":[54,113],"of":[55,99,114,122,133,144],"achieve":[59],"desired":[61],"accuracy.":[62],"This":[63],"challenge":[64],"is":[65,84],"amplified":[66],"media,":[69],"which":[70,139],"frequently":[71],"occur":[72],"practical":[74],"applications":[75],"such":[76],"as":[77],"metamaterial":[78],"simulations,":[79],"since":[80],"resolving":[81],"heterogeneity":[83],"necessary":[85],"obtaining":[87],"reliable":[88],"solutions.":[89],"Our":[90],"overcomes":[92],"this":[93,145],"difficulty":[94],"by":[95],"avoiding":[96],"explicit":[97],"resolution":[98],"heterogeneity,":[101],"while":[102],"employing":[103],"that":[107],"depends":[108],"almost":[109],"linearly":[110],"The":[117],"approximation":[118],"properties":[119],"and":[120,130],"stability":[121],"rely":[125],"critically":[126],"development":[129],"rigorous":[131],"analysis":[132],"novel,":[135],"nonstandard":[136],"variational":[137],"formulation,":[138],"constitutes":[140],"main":[142],"innovation":[143],"work.":[146],"Extensive":[147],"experiments":[149],"provided":[151],"validate":[153],"our":[154],"theoretical":[155],"findings.":[156]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-04-28T00:00:00"}