{"id":"https://openalex.org/W2065103857","doi":"https://doi.org/10.1007/s10915-006-9091-y","title":"Homogenization of Periodically Varying Coefficients in Electromagnetic Materials","display_name":"Homogenization of Periodically Varying Coefficients in Electromagnetic Materials","publication_year":2006,"publication_date":"2006-03-12","ids":{"openalex":"https://openalex.org/W2065103857","doi":"https://doi.org/10.1007/s10915-006-9091-y","mag":"2065103857"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-006-9091-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-006-9091-y","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of 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/A5111989562","display_name":"H. T. Banks","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"H. T. Banks","raw_affiliation_strings":["Center For Research in Scientific Computation, North Carolina State University, Raleigh, NC, 27695-8205, USA","Center For Research in Scientific Computation, North Carolina State University, Raleigh, USA 27695-8205#TAB#"],"affiliations":[{"raw_affiliation_string":"Center For Research in Scientific Computation, North Carolina State University, Raleigh, NC, 27695-8205, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Center For Research in Scientific Computation, North Carolina State University, Raleigh, USA 27695-8205#TAB#","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018487878","display_name":"Vrushali A. Bokil","orcid":"https://orcid.org/0000-0001-5820-7184"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. A. Bokil","raw_affiliation_strings":["Center For Research in Scientific Computation, North Carolina State University, Raleigh, NC, 27695-8205, USA","Center For Research in Scientific Computation, North Carolina State University, Raleigh, USA 27695-8205#TAB#"],"affiliations":[{"raw_affiliation_string":"Center For Research in Scientific Computation, North Carolina State University, Raleigh, NC, 27695-8205, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Center For Research in Scientific Computation, North Carolina State University, Raleigh, USA 27695-8205#TAB#","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014240829","display_name":"Doina Cioranescu","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Cioranescu","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, 4, Place Jussieu, 75252, Paris, Cedex 05, France","Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, Paris, Cedex 05, France 75252#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, 4, Place Jussieu, 75252, Paris, Cedex 05, France","institution_ids":["https://openalex.org/I4210158291"]},{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, Paris, Cedex 05, France 75252#TAB#","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I39804081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103104412","display_name":"Nathan L. Gibson","orcid":"https://orcid.org/0000-0001-7861-5548"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. L. Gibson","raw_affiliation_strings":["Center For Research in Scientific Computation, North Carolina State University, Raleigh, NC, 27695-8205, USA","Center For Research in Scientific Computation, North Carolina State University, Raleigh, USA 27695-8205#TAB#"],"affiliations":[{"raw_affiliation_string":"Center For Research in Scientific Computation, North Carolina State University, Raleigh, NC, 27695-8205, USA","institution_ids":["https://openalex.org/I137902535"]},{"raw_affiliation_string":"Center For Research in Scientific Computation, North Carolina State University, Raleigh, USA 27695-8205#TAB#","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049669767","display_name":"Georges Griso","orcid":"https://orcid.org/0000-0001-6819-353X"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"G. Griso","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, 4, Place Jussieu, 75252, Paris, Cedex 05, France","Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, Paris, Cedex 05, France 75252#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, 4, Place Jussieu, 75252, Paris, Cedex 05, France","institution_ids":["https://openalex.org/I4210158291"]},{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Universit\u00e9 Pierre et Marie Curie, Paris, Cedex 05, France 75252#TAB#","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062798078","display_name":"Bernadette Miara","orcid":null},"institutions":[{"id":"https://openalex.org/I12187552","display_name":"UniLaSalle Amiens (ESIEE-Amiens)","ror":"https://ror.org/03r13py57","country_code":"FR","type":"education","lineage":["https://openalex.org/I12187552"]},{"id":"https://openalex.org/I35298706","display_name":"ESIEA University","ror":"https://ror.org/00g6cx256","country_code":"FR","type":"education","lineage":["https://openalex.org/I35298706"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. Miara","raw_affiliation_strings":["ESIEE, Laboratoire de Mod\u00e9lisation et Simulation Num\u00e9rique, 2, boulevard Blaise Pascal, 93160, Noisy-le-Grand, France","ESIEE, Laboratoire de Mod\u00e9lisation et Simulation Num\u00e9rique, Noisy-le-Grand, France 93160#TAB#"],"affiliations":[{"raw_affiliation_string":"ESIEE, Laboratoire de Mod\u00e9lisation et Simulation Num\u00e9rique, 2, boulevard Blaise Pascal, 93160, Noisy-le-Grand, France","institution_ids":["https://openalex.org/I12187552","https://openalex.org/I35298706","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"ESIEE, Laboratoire de Mod\u00e9lisation et Simulation Num\u00e9rique, Noisy-le-Grand, France 93160#TAB#","institution_ids":["https://openalex.org/I12187552","https://openalex.org/I4210154111"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5111989562"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.0333,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.91116516,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"28","issue":"2-3","first_page":"191","last_page":"221"},"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":0.9994999766349792,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.9303728938102722},{"id":"https://openalex.org/keywords/microstructure","display_name":"Microstructure","score":0.8002630472183228},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.65302574634552},{"id":"https://openalex.org/keywords/composite-number","display_name":"Composite number","score":0.5964847803115845},{"id":"https://openalex.org/keywords/dielectric","display_name":"Dielectric","score":0.5627435445785522},{"id":"https://openalex.org/keywords/wavelength","display_name":"Wavelength","score":0.5509785413742065},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4864885210990906},{"id":"https://openalex.org/keywords/debye","display_name":"Debye","score":0.4842045307159424},{"id":"https://openalex.org/keywords/electromagnetic-radiation","display_name":"Electromagnetic radiation","score":0.4702046513557434},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4346112608909607},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.3520447015762329},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3509788513183594},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25305408239364624},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.24778103828430176},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.24123743176460266}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.9303728938102722},{"id":"https://openalex.org/C87976508","wikidata":"https://www.wikidata.org/wiki/Q1498213","display_name":"Microstructure","level":2,"score":0.8002630472183228},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.65302574634552},{"id":"https://openalex.org/C104779481","wikidata":"https://www.wikidata.org/wiki/Q50707","display_name":"Composite number","level":2,"score":0.5964847803115845},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.5627435445785522},{"id":"https://openalex.org/C6260449","wikidata":"https://www.wikidata.org/wiki/Q41364","display_name":"Wavelength","level":2,"score":0.5509785413742065},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4864885210990906},{"id":"https://openalex.org/C40899509","wikidata":"https://www.wikidata.org/wiki/Q40603","display_name":"Debye","level":2,"score":0.4842045307159424},{"id":"https://openalex.org/C149773537","wikidata":"https://www.wikidata.org/wiki/Q12969754","display_name":"Electromagnetic radiation","level":2,"score":0.4702046513557434},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4346112608909607},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.3520447015762329},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3509788513183594},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25305408239364624},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.24778103828430176},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.24123743176460266},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"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":5,"locations":[{"id":"doi:10.1007/s10915-006-9091-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-006-9091-y","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:repository.lib.ncsu.edu:1840.4/393","is_oa":false,"landing_page_url":"http://www.lib.ncsu.edu/resolver/1840.4/393","pdf_url":null,"source":{"id":"https://openalex.org/S4306402468","display_name":"NCSU Libraries Repository (North Carolina State University Libraries)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I137902535","host_organization_name":"North Carolina State University","host_organization_lineage":["https://openalex.org/I137902535"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Technical report"},{"id":"pmh:ADA440029","is_oa":false,"landing_page_url":"http://oai.dtic.mil/oai/oai?&amp;verb=getRecord&amp;metadataPrefix=html&amp;identifier=ADA440029","pdf_url":null,"source":{"id":"https://openalex.org/S4406923043","display_name":"Defense Technical Information Center (DTIC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"DTIC AND NTIS","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.102.5215","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.5215","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.samsi.info/TR/tr2005-02.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.400.9637","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.400.9637","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ncsu.edu/crsc/reports/ftp/pdf/crsc-tr05-05.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W36053212","https://openalex.org/W187931659","https://openalex.org/W1507125265","https://openalex.org/W1553150814","https://openalex.org/W1695171982","https://openalex.org/W1723188163","https://openalex.org/W1795108133","https://openalex.org/W1967203031","https://openalex.org/W1986654860","https://openalex.org/W1988785737","https://openalex.org/W2017552996","https://openalex.org/W2024557266","https://openalex.org/W2026039351","https://openalex.org/W2027239222","https://openalex.org/W2028821682","https://openalex.org/W2043020316","https://openalex.org/W2105755740","https://openalex.org/W2116801612","https://openalex.org/W2124595344","https://openalex.org/W2127272874","https://openalex.org/W2131325740","https://openalex.org/W2134444364","https://openalex.org/W4237910584"],"related_works":["https://openalex.org/W2371210267","https://openalex.org/W2043067835","https://openalex.org/W4235289689","https://openalex.org/W2904350067","https://openalex.org/W2090969429","https://openalex.org/W2765848447","https://openalex.org/W61122184","https://openalex.org/W1552218349","https://openalex.org/W2981102837","https://openalex.org/W4240959977"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":10}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
