{"id":"https://openalex.org/W2152917700","doi":"https://doi.org/10.1137/080722631","title":"Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements","display_name":"Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2152917700","doi":"https://doi.org/10.1137/080722631","mag":"2152917700"},"language":"en","primary_location":{"id":"doi:10.1137/080722631","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080722631","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,"is_core":true,"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,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5023481731","display_name":"Zhiqiang Cai","orcid":"https://orcid.org/0000-0002-3775-7248"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhiqiang Cai","raw_affiliation_strings":["zcai@math.purdue.edu and zhang@math.purdue.edu#TAB#"],"affiliations":[{"raw_affiliation_string":"zcai@math.purdue.edu and zhang@math.purdue.edu#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024697435","display_name":"Shun Zhang","orcid":"https://orcid.org/0000-0001-6235-0362"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shun Zhang","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023481731"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1494,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.94347984,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"48","issue":"1","first_page":"30","last_page":"52"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9991000294685364,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.843715488910675},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7846026420593262},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7348764538764954},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6924094557762146},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6751432418823242},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5503584146499634},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16228675842285156},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14009064435958862}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.843715488910675},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7846026420593262},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7348764538764954},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6924094557762146},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6751432418823242},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5503584146499634},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16228675842285156},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14009064435958862},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/080722631","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080722631","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,"is_core":true,"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,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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":29,"referenced_works":["https://openalex.org/W46814297","https://openalex.org/W280547473","https://openalex.org/W1674659126","https://openalex.org/W1852082788","https://openalex.org/W1971606961","https://openalex.org/W1972200842","https://openalex.org/W1993064848","https://openalex.org/W1995404822","https://openalex.org/W2015156185","https://openalex.org/W2018963986","https://openalex.org/W2020854958","https://openalex.org/W2024029918","https://openalex.org/W2024326406","https://openalex.org/W2033698269","https://openalex.org/W2041523977","https://openalex.org/W2046300718","https://openalex.org/W2052848091","https://openalex.org/W2053162126","https://openalex.org/W2059465899","https://openalex.org/W2062618977","https://openalex.org/W2064909895","https://openalex.org/W2069697314","https://openalex.org/W2071036364","https://openalex.org/W2079232547","https://openalex.org/W2094875449","https://openalex.org/W2122461891","https://openalex.org/W2146115533","https://openalex.org/W2324833387","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W4287880334","https://openalex.org/W4388311650","https://openalex.org/W4245953108","https://openalex.org/W1977619534","https://openalex.org/W2236763869","https://openalex.org/W2097626286","https://openalex.org/W4293568347","https://openalex.org/W2808230936","https://openalex.org/W2023659367","https://openalex.org/W3137869026"],"abstract_inverted_index":{"In":[0],"[Z.":[1,72],"Cai":[2,73],"and":[3,16,74,87,94],"S.":[4,75],"Zhang,":[5,76],"SIAM":[6,77],"J.":[7,78],"Numer.":[8,79],"Anal.,":[9,80],"47":[10,81],"(2009),":[11,82],"pp.":[12,83],"2132\u20132156],":[13],"we":[14],"introduced":[15],"analyzed":[17],"a":[18,20,108],"recovery-based":[19],"posteriori":[21],"error":[22,110],"estimator":[23,39],"for":[24,92],"conforming":[25],"linear":[26],"finite":[27,89],"element":[28,90],"approximation":[29],"to":[30,44,85],"interface":[31],"problems.":[32],"It":[33],"was":[34],"shown":[35],"theoretically":[36],"that":[37,50,61],"the":[38,45,51,69,115],"is":[40,55,64,112],"robust":[41,96],"with":[42],"respect":[43],"size":[46],"of":[47,53],"jumps":[48],"provided":[49],"distribution":[52],"coefficients":[54],"locally":[56],"monotone.":[57],"Numerical":[58,98],"examples":[59],"showed":[60],"this":[62],"condition":[63],"unnecessary.":[65],"This":[66],"paper":[67],"extends":[68],"idea":[70],"in":[71],"2132\u20132156]":[84],"mixed":[86],"nonconforming":[88],"methods":[91],"developing":[93],"analyzing":[95],"estimators.":[97],"results":[99],"on":[100],"test":[101],"problems":[102],"are":[103],"also":[104],"presented.":[105],"Moreover,":[106],"an":[107],"priori":[109],"estimate":[111],"obtained":[113],"when":[114],"underlying":[116],"problem":[117],"has":[118],"low":[119],"regularity.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-03-04T09:10:02.777135","created_date":"2025-10-10T00:00:00"}