{"id":"https://openalex.org/W2083057760","doi":"https://doi.org/10.1007/s11075-014-9854-8","title":"A posteriori error estimates of the Morley element for the fourth order elliptic eigenvalue problem","display_name":"A posteriori error estimates of the Morley element for the fourth order elliptic eigenvalue problem","publication_year":2014,"publication_date":"2014-04-17","ids":{"openalex":"https://openalex.org/W2083057760","doi":"https://doi.org/10.1007/s11075-014-9854-8","mag":"2083057760"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-014-9854-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-014-9854-8","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5103340631","display_name":"Quan Shen","orcid":null},"institutions":[{"id":"https://openalex.org/I3923682","display_name":"Soochow University","ror":"https://ror.org/05t8y2r12","country_code":"CN","type":"education","lineage":["https://openalex.org/I3923682"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Quan Shen","raw_affiliation_strings":["School of Urban Rail Transportation, Soochow University, Suzhou, 215131, China","School of Urban Rail Transportation, Soochow University, Suzhou, China 215131#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Urban Rail Transportation, Soochow University, Suzhou, 215131, China","institution_ids":["https://openalex.org/I3923682"]},{"raw_affiliation_string":"School of Urban Rail Transportation, Soochow University, Suzhou, China 215131#TAB#","institution_ids":["https://openalex.org/I3923682"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103340631"],"corresponding_institution_ids":["https://openalex.org/I3923682"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.8505,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.73133331,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"68","issue":"3","first_page":"455","last_page":"466"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9991000294685364,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.7549312114715576},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7515466213226318},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7355201244354248},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6319004893302917},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.5403921604156494},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5377974510192871},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5324374437332153},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4784127175807953},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.42580878734588623},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33948665857315063},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.327700674533844},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16408565640449524},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.058430612087249756},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.0520687997341156}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7549312114715576},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7515466213226318},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7355201244354248},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6319004893302917},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.5403921604156494},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5377974510192871},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5324374437332153},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4784127175807953},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.42580878734588623},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33948665857315063},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.327700674533844},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16408565640449524},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.058430612087249756},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0520687997341156},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-014-9854-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-014-9854-8","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W53208737","https://openalex.org/W129017765","https://openalex.org/W1585767079","https://openalex.org/W1973103891","https://openalex.org/W2004521345","https://openalex.org/W2009941208","https://openalex.org/W2017366188","https://openalex.org/W2026313996","https://openalex.org/W2041523977","https://openalex.org/W2042615888","https://openalex.org/W2044355921","https://openalex.org/W2062819342","https://openalex.org/W2067344603","https://openalex.org/W2068079525","https://openalex.org/W2069709635","https://openalex.org/W2076458295","https://openalex.org/W2082276324","https://openalex.org/W2084314535","https://openalex.org/W2100950337","https://openalex.org/W2110176271","https://openalex.org/W2114173401","https://openalex.org/W2124214067","https://openalex.org/W2157129549","https://openalex.org/W2171431388","https://openalex.org/W2887485306","https://openalex.org/W2934526567","https://openalex.org/W2964192538","https://openalex.org/W3022149823","https://openalex.org/W4205634890","https://openalex.org/W4211134967"],"related_works":["https://openalex.org/W2394496373","https://openalex.org/W4323066533","https://openalex.org/W2133679779","https://openalex.org/W137108797","https://openalex.org/W1998702944","https://openalex.org/W2951949309","https://openalex.org/W4300232707","https://openalex.org/W4297581662","https://openalex.org/W2050829265","https://openalex.org/W2119544289"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}