{"id":"https://openalex.org/W2050968448","doi":"https://doi.org/10.1007/s00211-014-0678-1","title":"Finite element approximation to the extremal eigenvalue problem for inhomogenous materials","display_name":"Finite element approximation to the extremal eigenvalue problem for inhomogenous materials","publication_year":2014,"publication_date":"2014-11-21","ids":{"openalex":"https://openalex.org/W2050968448","doi":"https://doi.org/10.1007/s00211-014-0678-1","mag":"2050968448"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-014-0678-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0678-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5065416248","display_name":"Kewei Liang","orcid":"https://orcid.org/0000-0002-3837-6439"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kewei Liang","raw_affiliation_strings":["Department of Mathematics, Zhejiang University, Hangzhou, 310027, People\u2019s Republic of China","Department of Mathematics, Zhejiang University, Hangzhou , People's Republic of China 310027#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang University, Hangzhou, 310027, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang University, Hangzhou , People's Republic of China 310027#TAB#","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055337142","display_name":"Xiliang Lu","orcid":"https://orcid.org/0000-0002-7592-5994"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiliang Lu","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, People\u2019s Republic of China","School of Mathematics and Statistics, Wuhan University, Wuhan, People's Republic of China 430072#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, People\u2019s Republic of China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, People's Republic of China 430072#TAB#","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057896052","display_name":"Jerry Zhijian Yang","orcid":"https://orcid.org/0000-0002-0402-4056"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jerry Zhijian Yang","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, People\u2019s Republic of China","School of Mathematics and Statistics, Wuhan University, Wuhan, People's Republic of China 430072#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, People\u2019s Republic of China","institution_ids":["https://openalex.org/I37461747"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, People's Republic of China 430072#TAB#","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065416248"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.11283009,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"130","issue":"4","first_page":"741","last_page":"762"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9988999962806702,"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":0.9986000061035156,"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/mathematics","display_name":"Mathematics","score":0.8473522663116455},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7500292062759399},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.734920859336853},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5602526664733887},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.51605623960495},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4575589597225189},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42732250690460205},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.064053475856781}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8473522663116455},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7500292062759399},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.734920859336853},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5602526664733887},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.51605623960495},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4575589597225189},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42732250690460205},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.064053475856781},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-014-0678-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0678-1","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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":34,"referenced_works":["https://openalex.org/W21432690","https://openalex.org/W1492326914","https://openalex.org/W1499071767","https://openalex.org/W1976173851","https://openalex.org/W1980631702","https://openalex.org/W1981299419","https://openalex.org/W1982604350","https://openalex.org/W1986044496","https://openalex.org/W2000684691","https://openalex.org/W2013400998","https://openalex.org/W2023174256","https://openalex.org/W2023729193","https://openalex.org/W2025817620","https://openalex.org/W2034029678","https://openalex.org/W2035724604","https://openalex.org/W2041523977","https://openalex.org/W2052084709","https://openalex.org/W2062537896","https://openalex.org/W2065429647","https://openalex.org/W2078293634","https://openalex.org/W2090405086","https://openalex.org/W2171890171","https://openalex.org/W2181453853","https://openalex.org/W2326835827","https://openalex.org/W2584703065","https://openalex.org/W3021722416","https://openalex.org/W3035235874","https://openalex.org/W3204708751","https://openalex.org/W4210300254","https://openalex.org/W4211134967","https://openalex.org/W4238877195","https://openalex.org/W4243911655","https://openalex.org/W4244944200","https://openalex.org/W4255545500"],"related_works":["https://openalex.org/W2055836843","https://openalex.org/W2380000090","https://openalex.org/W2755775996","https://openalex.org/W2374797863","https://openalex.org/W2773728674","https://openalex.org/W2349308527","https://openalex.org/W2165749285","https://openalex.org/W3131818128","https://openalex.org/W2069701013","https://openalex.org/W4285308861"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
