{"id":"https://openalex.org/W2618690083","doi":"https://doi.org/10.1007/s00211-019-01029-7","title":"Residual-based a posteriori error analysis for symmetric mixed Arnold\u2013Winther FEM","display_name":"Residual-based a posteriori error analysis for symmetric mixed Arnold\u2013Winther FEM","publication_year":2019,"publication_date":"2019-02-28","ids":{"openalex":"https://openalex.org/W2618690083","doi":"https://doi.org/10.1007/s00211-019-01029-7","mag":"2618690083"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-019-01029-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-019-01029-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-019-01029-7.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00211-019-01029-7.pdf","any_repository_has_fulltext":true},"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"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Carsten Carstensen","raw_affiliation_strings":["Humboldt-Universit\u00e4t zu Berlin, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Humboldt-Universit\u00e4t zu Berlin, 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/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Dietmar Gallistl","raw_affiliation_strings":["University of Twente, Enschede, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Twente, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012268830","display_name":"Joscha Gedicke","orcid":"https://orcid.org/0000-0002-8448-0608"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Joscha Gedicke","raw_affiliation_strings":["Faculty of Mathematics, University of Vienna, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012268830"],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":1996,"currency":"EUR","value_usd":2152},"fwci":1.1651,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75070321,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"142","issue":"2","first_page":"205","last_page":"234"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.998199999332428,"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/mathematics","display_name":"Mathematics","score":0.8128076791763306},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.7490416765213013},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6221986413002014},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6172612309455872},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.6116805672645569},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5202516317367554},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4149777889251709},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.34536999464035034},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2771223187446594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2354852259159088},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.10484862327575684},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.056143105030059814},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.04616251587867737}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8128076791763306},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.7490416765213013},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6221986413002014},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6172612309455872},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.6116805672645569},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5202516317367554},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4149777889251709},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.34536999464035034},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2771223187446594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2354852259159088},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.10484862327575684},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.056143105030059814},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.04616251587867737},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-019-01029-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-019-01029-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-019-01029-7.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:ris.utwente.nl:openaire/ac4f62bd-205d-408d-9169-573e901488fd","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/ac4f62bd-205d-408d-9169-573e901488fd","pdf_url":null,"source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Carstensen, C, Gallistl, D & Gedicke, J 2019, 'Residual-based a posteriori error analysis for symmetric mixed Arnold\u2013Winther FEM', Numerische Mathematik, vol. 142, pp. 205-234. https://doi.org/10.1007/s00211-019-01029-7","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:info:fedora/oai:univie.ac.at:o:1078910","is_oa":true,"landing_page_url":"https://phaidra.univie.ac.at/o:1078910","pdf_url":null,"source":{"id":"https://openalex.org/S4306401993","display_name":"Phaidra (Universit\u00e4t Wien)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129774422","host_organization_name":"University of Vienna","host_organization_lineage":["https://openalex.org/I129774422"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0029-599X","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00211-019-01029-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00211-019-01029-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-019-01029-7.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3587333238","display_name":null,"funder_award_id":"CRC 1173","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4501732677","display_name":null,"funder_award_id":"P 29197-N32","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G7739945743","display_name":null,"funder_award_id":"29197-N32","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2618690083.pdf","grobid_xml":"https://content.openalex.org/works/W2618690083.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W592368443","https://openalex.org/W592911714","https://openalex.org/W1492326914","https://openalex.org/W1516283755","https://openalex.org/W1992358193","https://openalex.org/W1993064848","https://openalex.org/W2014077116","https://openalex.org/W2014744421","https://openalex.org/W2024326406","https://openalex.org/W2029348449","https://openalex.org/W2036607335","https://openalex.org/W2039412304","https://openalex.org/W2041523977","https://openalex.org/W2049646932","https://openalex.org/W2071036364","https://openalex.org/W2092037996","https://openalex.org/W2098904058","https://openalex.org/W2138486270","https://openalex.org/W2139392148","https://openalex.org/W2151369319","https://openalex.org/W2153132837","https://openalex.org/W2176393999","https://openalex.org/W2254382666","https://openalex.org/W2765080741","https://openalex.org/W3204708751","https://openalex.org/W4205180919"],"related_works":["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","https://openalex.org/W2126858039","https://openalex.org/W2095507327","https://openalex.org/W2705221988"],"abstract_inverted_index":{"This":[0],"paper":[1,39],"introduces":[2],"an":[3,82],"explicit":[4,46],"residual-based":[5,32],"a":[6,33,97],"posteriori":[7,34,98],"error":[8,35,99,126],"analysis":[9],"for":[10,116],"the":[11,53,69,89,95,103,123,133],"symmetric":[12,24,54,66],"mixed":[13],"finite":[14],"element":[15],"method":[16],"in":[17,47,107,122,129],"linear":[18],"elasticity":[19],"after":[20],"Arnold\u2013Winther":[21],"with":[22],"pointwise":[23],"and":[25,42,44,56,92,101,127],"$$H({\\text":[26],"{div}})$$":[27],"-conforming":[28],"stress":[29,55,125],"approximation.":[30],"The":[31],"estimator":[36,100],"of":[37,63,68,94],"this":[38],"is":[40,78,120],"reliable":[41],"efficient":[43,73],"truly":[45],"that":[48],"it":[49,77],"solely":[50],"depends":[51],"on":[52],"does":[57],"neither":[58],"need":[59],"any":[60,72],"additional":[61],"information":[62],"some":[64],"skew":[65],"part":[67],"gradient":[70],"nor":[71],"approximation":[74],"thereof.":[75],"Hence,":[76],"straightforward":[79],"to":[80,109],"implement":[81],"adaptive":[83,134],"mesh-refining":[84,135],"algorithm.":[85],"Numerical":[86],"experiments":[87],"verify":[88],"proven":[90],"reliability":[91],"efficiency":[93],"new":[96],"illustrate":[102],"improved":[104],"convergence":[105,114],"rate":[106,115],"comparison":[108],"uniform":[110],"mesh-refining.":[111],"A":[112],"higher":[113],"piecewise":[117],"affine":[118],"data":[119],"observed":[121],"$$L^2$$":[124],"reproduced":[128],"non-smooth":[130],"situations":[131],"by":[132],"strategy.":[136]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}