{"id":"https://openalex.org/W2168053679","doi":"https://doi.org/10.1137/s003614290037410x","title":"Superconvergence for the Gradient of Finite Element Approximations byL2Projections","display_name":"Superconvergence for the Gradient of Finite Element Approximations byL2Projections","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2168053679","doi":"https://doi.org/10.1137/s003614290037410x","mag":"2168053679"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003614290037410x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dr.ntu.edu.sg/bitstream/10356/90786/1/Heimsund-Tai-Wang-SCG-02.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007305540","display_name":"Bj\u00f8rn-Ove Heimsund","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"BjOrn-Ove Heimsund","raw_affiliation_string":"","raw_affiliation_strings":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047295573","display_name":"Xue\u2013Cheng Tai","orcid":"https://orcid.org/0000-0003-3359-9104"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xue-Cheng Tai","raw_affiliation_string":"","raw_affiliation_strings":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5002326414","display_name":"Junping Wang","orcid":"https://orcid.org/0009-0005-6813-4499"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Junping Wang","raw_affiliation_string":"","raw_affiliation_strings":[]}],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":53,"cited_by_percentile_year":{"min":94,"max":95},"biblio":{"volume":"40","issue":"4","first_page":"1263","last_page":"1280"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Finite Element Methods for Fluid-Structure Interaction","score":0.9999,"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":"Finite Element Methods for Fluid-Structure Interaction","score":0.9999,"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":"Fracture Mechanics Modeling and Simulation","score":0.9992,"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/T12100","display_name":"Multiscale Methods for Heterogeneous Systems","score":0.9986,"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"}}],"keywords":[{"keyword":"finite element approximations","score":0.5968},{"keyword":"superconvergence","score":0.5715},{"keyword":"gradient","score":0.3464},{"keyword":"byl2projections","score":0.2879}],"concepts":[{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.9920269},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7645946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7644907},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.60340065},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.44956774},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.44644523},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42775947},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.37382895},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09977743},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0793995},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/s003614290037410x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hdl.handle.net/10356/90786","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/90786/1/Heimsund-Tai-Wang-SCG-02.pdf","source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":["Nanyang Technological University"],"type":"repository"},"license":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://hdl.handle.net/10356/90786","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/90786/1/Heimsund-Tai-Wang-SCG-02.pdf","source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":["Nanyang Technological University"],"type":"repository"},"license":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"referenced_works_count":22,"referenced_works":["https://openalex.org/W1595515622","https://openalex.org/W1970420074","https://openalex.org/W1980964769","https://openalex.org/W1995479616","https://openalex.org/W2005601391","https://openalex.org/W2010194973","https://openalex.org/W2010332082","https://openalex.org/W2016966935","https://openalex.org/W2019098734","https://openalex.org/W2031862917","https://openalex.org/W2036382499","https://openalex.org/W2038626747","https://openalex.org/W2040933131","https://openalex.org/W2043763125","https://openalex.org/W2044892973","https://openalex.org/W2051682834","https://openalex.org/W2058902234","https://openalex.org/W2061172735","https://openalex.org/W2079232547","https://openalex.org/W2331941476","https://openalex.org/W2464997744","https://openalex.org/W4230989996"],"related_works":["https://openalex.org/W2160252404","https://openalex.org/W2964478211","https://openalex.org/W2372265507","https://openalex.org/W2094577950","https://openalex.org/W2031157121","https://openalex.org/W1565666028","https://openalex.org/W2891538916","https://openalex.org/W4230524683","https://openalex.org/W3141012097","https://openalex.org/W185121461"],"ngrams_url":"https://api.openalex.org/works/W2168053679/ngrams","abstract_inverted_index":{"A":[0],"gradient":[1,15,49],"recovery":[2,23,63],"technique":[3,24,64],"is":[4,25,44,65],"proposed":[5],"and":[6,68,80],"analyzed":[7],"for":[8,56],"finite":[9],"element":[10],"solutions":[11],"which":[12],"provides":[13],"new":[14],"approximations":[16],"with":[17],"high":[18,52],"order":[19,53],"of":[20,30,54,74],"accuracy.":[21],"The":[22,62],"based":[26],"on":[27],"the":[28,47,78],"method":[29],"least-squares":[31],"surface":[32,59],"fitting":[33,60],"in":[34],"a":[35,40,51,71],"finite-dimensional":[36],"space":[37],"corresponding":[38],"to":[39,70],"coarse":[41],"mesh.":[42],"It":[43],"proved":[45],"that":[46],"recovered":[48],"has":[50],"superconvergence":[55],"appropriately":[57],"chosen":[58],"spaces.":[61],"robust,":[66],"efficient,":[67],"applicable":[69],"wide":[72],"class":[73],"problems":[75],"such":[76],"as":[77],"Stokes":[79],"elasticity":[81],"equations.":[82]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2168053679","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2024-03-27T03:34:53.110278","created_date":"2016-06-24"}