{"id":"https://openalex.org/W2066976371","doi":"https://doi.org/10.1007/s00211-012-0513-5","title":"A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles","display_name":"A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles","publication_year":2012,"publication_date":"2012-10-25","ids":{"openalex":"https://openalex.org/W2066976371","doi":"https://doi.org/10.1007/s00211-012-0513-5","mag":"2066976371"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-012-0513-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-012-0513-5","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/A5036808184","display_name":"Carsten Carstensen","orcid":null},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]},{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["DE","KR"],"is_corresponding":false,"raw_author_name":"Carsten Carstensen","raw_affiliation_strings":["Department of Computational Science and Engineering, Yonsei University, 120-749 , Seoul, Korea","Institut f\u00fcr Mathematik, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, 10099 , Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computational Science and Engineering, Yonsei University, 120-749 , Seoul, Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, 10099 , Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035829145","display_name":"Dietmar Gallistl","orcid":"https://orcid.org/0000-0001-8954-4175"},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dietmar Gallistl","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, 10099 , Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, 10099 , Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028500115","display_name":"Jun Hu","orcid":"https://orcid.org/0000-0002-4565-3000"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Hu","raw_affiliation_strings":["LMAM and School of Mathematical Sciences, Peking University, Beijing, 100871, Peoples Republic of China"],"affiliations":[{"raw_affiliation_string":"LMAM and School of Mathematical Sciences, Peking University, Beijing, 100871, Peoples Republic of China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028500115"],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4047,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.81188539,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"124","issue":"2","first_page":"309","last_page":"335"},"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":1.0,"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":1.0,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9961000084877014,"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/finite-element-method","display_name":"Finite element method","score":0.8466576933860779},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7454924583435059},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7371505498886108},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7061866521835327},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5842023491859436},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.5479474067687988},{"id":"https://openalex.org/keywords/biharmonic-equation","display_name":"Biharmonic equation","score":0.4919428527355194},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.45370572805404663},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.45354145765304565},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33006995916366577},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3170505464076996},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2861875593662262},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24175482988357544},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0907863974571228},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.06584674119949341},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.05853086709976196}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.8466576933860779},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7454924583435059},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7371505498886108},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7061866521835327},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5842023491859436},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.5479474067687988},{"id":"https://openalex.org/C145784156","wikidata":"https://www.wikidata.org/wiki/Q859808","display_name":"Biharmonic equation","level":3,"score":0.4919428527355194},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.45370572805404663},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.45354145765304565},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33006995916366577},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3170505464076996},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2861875593662262},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24175482988357544},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0907863974571228},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.06584674119949341},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.05853086709976196},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-012-0513-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-012-0513-5","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W28084739","https://openalex.org/W235895113","https://openalex.org/W1492326914","https://openalex.org/W1502992081","https://openalex.org/W1585767079","https://openalex.org/W1970753375","https://openalex.org/W1973103891","https://openalex.org/W1977522442","https://openalex.org/W1991866503","https://openalex.org/W1998803201","https://openalex.org/W2008916847","https://openalex.org/W2017366188","https://openalex.org/W2020552462","https://openalex.org/W2026048275","https://openalex.org/W2036607335","https://openalex.org/W2041523977","https://openalex.org/W2046130209","https://openalex.org/W2049646932","https://openalex.org/W2062819342","https://openalex.org/W2071036364","https://openalex.org/W2079933710","https://openalex.org/W2099925790","https://openalex.org/W2112474656","https://openalex.org/W2146115533","https://openalex.org/W2149778240","https://openalex.org/W2151369319","https://openalex.org/W2155803011","https://openalex.org/W2199169705","https://openalex.org/W3022149823","https://openalex.org/W3204708751","https://openalex.org/W4210300254"],"related_works":["https://openalex.org/W2503543076","https://openalex.org/W2738351852","https://openalex.org/W1131942522","https://openalex.org/W1986396960","https://openalex.org/W2105227268","https://openalex.org/W4307213029","https://openalex.org/W1989880152","https://openalex.org/W1977275827","https://openalex.org/W58429384","https://openalex.org/W2163017860"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}