{"id":"https://openalex.org/W2020515790","doi":"https://doi.org/10.1137/0153076","title":"First-Order Corrections to the Homogenized Eigenvalues of a Periodic Composite Medium","display_name":"First-Order Corrections to the Homogenized Eigenvalues of a Periodic Composite Medium","publication_year":1993,"publication_date":"1993-12-01","ids":{"openalex":"https://openalex.org/W2020515790","doi":"https://doi.org/10.1137/0153076","mag":"2020515790"},"language":"en","primary_location":{"id":"doi:10.1137/0153076","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0153076","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","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/A5033911917","display_name":"Fadil Santosa","orcid":"https://orcid.org/0000-0002-0580-7079"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fadil Santosa","raw_affiliation_strings":["University of Delaware"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Delaware","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005011894","display_name":"Michael Vogelius","orcid":"https://orcid.org/0000-0001-6873-6995"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Vogelius","raw_affiliation_strings":["University of Delaware"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Delaware","institution_ids":["https://openalex.org/I86501945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I86501945"],"apc_list":null,"apc_paid":null,"fwci":2.0679,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.86208854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"53","issue":"6","first_page":"1636","last_page":"1668"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998000264167786,"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/T10514","display_name":"Numerical methods in engineering","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8313616514205933},{"id":"https://openalex.org/keywords/periodic-boundary-conditions","display_name":"Periodic boundary conditions","score":0.6919233798980713},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6161063313484192},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5855617523193359},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5776961445808411},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.4942939281463623},{"id":"https://openalex.org/keywords/homogenization","display_name":"Homogenization (climate)","score":0.4725643992424011},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4606042504310608},{"id":"https://openalex.org/keywords/microstructure","display_name":"Microstructure","score":0.4276912808418274},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2300819456577301},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.13342249393463135},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.04766550660133362}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8313616514205933},{"id":"https://openalex.org/C112675119","wikidata":"https://www.wikidata.org/wiki/Q2992284","display_name":"Periodic boundary conditions","level":3,"score":0.6919233798980713},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6161063313484192},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5855617523193359},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5776961445808411},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.4942939281463623},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.4725643992424011},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4606042504310608},{"id":"https://openalex.org/C87976508","wikidata":"https://www.wikidata.org/wiki/Q1498213","display_name":"Microstructure","level":2,"score":0.4276912808418274},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2300819456577301},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.13342249393463135},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.04766550660133362},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0153076","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0153076","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W170197162","https://openalex.org/W1586623601","https://openalex.org/W1965386465","https://openalex.org/W2021669684","https://openalex.org/W2052078949","https://openalex.org/W2067197496","https://openalex.org/W2080815592","https://openalex.org/W2091491115","https://openalex.org/W2106902034","https://openalex.org/W2917591172"],"related_works":["https://openalex.org/W2104620528","https://openalex.org/W2550220886","https://openalex.org/W2195213680","https://openalex.org/W4239362756","https://openalex.org/W2011162547","https://openalex.org/W2055958952","https://openalex.org/W1653702907","https://openalex.org/W3209300646","https://openalex.org/W844002284","https://openalex.org/W2328967475"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,8,24,28,37,40,44,47,53,56,62,65,73,80],"eigenvalue":[4,74,81],"problem":[5],"associated":[6],"with":[7,43],"vibration":[9],"of":[10,39,46,64,72,79],"a":[11,17],"com-posite":[12],"medium":[13],"assumed":[14],"to":[15,27,36],"have":[16],"periodic":[18,41,58],"microstructure.":[19],"The":[20,49,77],"investigation":[21],"concentrates":[22],"on":[23],"first-order":[25],"correction":[26,75,82],"homogenized":[29],"eigenvalues.":[30],"A":[31,67],"major":[32],"difficulty":[33],"arises":[34],"due":[35],"interaction":[38],"microstructure":[42],"boundary":[45,54],"medium.":[48],"way":[50],"in":[51,85],"which":[52],"intersects":[55],"underlying":[57],"structure":[59],"strongly":[60],"influences":[61],"value":[63],"correction.":[66],"rigorous":[68],"derivation":[69],"is":[70],"given":[71],"formula.":[76],"properties":[78],"are":[83],"studied":[84],"one-":[86],"and":[87],"two-dimensional":[88],"numerical":[89],"calculations.":[90]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
