{"id":"https://openalex.org/W2122461891","doi":"https://doi.org/10.1007/s002110100378","title":"A posteriori error estimates for nonconforming finite element methods","display_name":"A posteriori error estimates for nonconforming finite element methods","publication_year":2002,"publication_date":"2002-08-01","ids":{"openalex":"https://openalex.org/W2122461891","doi":"https://doi.org/10.1007/s002110100378","mag":"2122461891"},"language":"de","primary_location":{"id":"doi:10.1007/s002110100378","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110100378","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/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Carsten Carstensen","raw_affiliation_strings":["Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Wiedner Hauptstra\u00dfe 8\u201310, A-1040 Vienna, Austria; e-mail: Carsten.Carstensen@tuwien.ac.at\n, , , , , , AT","Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Wiedner Hauptstra\u00dfe 8-10, A-1040 Vienna, Austria. e-mail: Carsten.Carstensen@tuwien.ac.at, AT"],"affiliations":[{"raw_affiliation_string":"Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Wiedner Hauptstra\u00dfe 8\u201310, A-1040 Vienna, Austria; e-mail: Carsten.Carstensen@tuwien.ac.at\n, , , , , , AT","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Wiedner Hauptstra\u00dfe 8-10, A-1040 Vienna, Austria. e-mail: Carsten.Carstensen@tuwien.ac.at, AT","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110869833","display_name":"S x F ren Bartels","orcid":null},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Kiel University","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"S&#x000F6;ren Bartels","raw_affiliation_strings":["Mathematisches Seminar, Christian-Albrechts-Universit\u00e4t zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany; e-mail: sba@numerik.uni-kiel.de\n, , , , , , DE","Mathematisches Seminar, Christian-Albrechts-Universit\u00e4t zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany; e-mail: sba@numerik.uni-kiel.de#N#, , DE"],"affiliations":[{"raw_affiliation_string":"Mathematisches Seminar, Christian-Albrechts-Universit\u00e4t zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany; e-mail: sba@numerik.uni-kiel.de\n, , , , , , DE","institution_ids":["https://openalex.org/I32021983"]},{"raw_affiliation_string":"Mathematisches Seminar, Christian-Albrechts-Universit\u00e4t zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany; e-mail: sba@numerik.uni-kiel.de#N#, , DE","institution_ids":["https://openalex.org/I32021983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015631216","display_name":"Stefan Jansche","orcid":null},"institutions":[{"id":"https://openalex.org/I32021983","display_name":"Kiel University","ror":"https://ror.org/04v76ef78","country_code":"DE","type":"education","lineage":["https://openalex.org/I32021983"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Jansche","raw_affiliation_strings":["Mathematisches Seminar, Christian-Albrechts-Universit\u00e4t zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany; e-mail: sba@numerik.uni-kiel.de\n, , , , , , DE","Mathematisches Seminar, Christian-Albrechts-Universit\u00e4t zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany; e-mail: sba@numerik.uni-kiel.de#N#, , DE"],"affiliations":[{"raw_affiliation_string":"Mathematisches Seminar, Christian-Albrechts-Universit\u00e4t zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany; e-mail: sba@numerik.uni-kiel.de\n, , , , , , DE","institution_ids":["https://openalex.org/I32021983"]},{"raw_affiliation_string":"Mathematisches Seminar, Christian-Albrechts-Universit\u00e4t zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany; e-mail: sba@numerik.uni-kiel.de#N#, , DE","institution_ids":["https://openalex.org/I32021983"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036808184"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.6137,"has_fulltext":false,"cited_by_count":86,"citation_normalized_percentile":{"value":0.94893987,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"92","issue":"2","first_page":"233","last_page":"256"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.996999979019165,"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":0.8381521701812744},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7784881591796875},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7435770034790039},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6209323406219482},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6169698238372803},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.560519278049469},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.4684068560600281},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.4158291518688202},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3452374339103699},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33192434906959534},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3038116693496704},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2742101550102234},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19092178344726562}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8381521701812744},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7784881591796875},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7435770034790039},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6209323406219482},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6169698238372803},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.560519278049469},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.4684068560600281},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.4158291518688202},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3452374339103699},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33192434906959534},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3038116693496704},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2742101550102234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19092178344726562},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s002110100378","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s002110100378","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":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W280547473","https://openalex.org/W1492326914","https://openalex.org/W1597209545","https://openalex.org/W1674659126","https://openalex.org/W1993064848","https://openalex.org/W1993204688","https://openalex.org/W2024326406","https://openalex.org/W2033287169","https://openalex.org/W2041523977","https://openalex.org/W2044355921","https://openalex.org/W2051043245","https://openalex.org/W2071036364","https://openalex.org/W2079232547","https://openalex.org/W2146115533","https://openalex.org/W2147446841","https://openalex.org/W2148639620","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4388311650","https://openalex.org/W1974056099","https://openalex.org/W4313645560","https://openalex.org/W4299447939","https://openalex.org/W2610540941","https://openalex.org/W2332908959","https://openalex.org/W3007553996","https://openalex.org/W2376052980","https://openalex.org/W1981407372","https://openalex.org/W2023658642"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"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":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
