{"id":"https://openalex.org/W33781092","doi":"https://doi.org/10.1007/bf02243846","title":"Convergence analysis of least-squares mixed finite elements","display_name":"Convergence analysis of least-squares mixed finite elements","publication_year":1993,"publication_date":"1993-06-01","ids":{"openalex":"https://openalex.org/W33781092","doi":"https://doi.org/10.1007/bf02243846","mag":"33781092"},"language":"en","primary_location":{"id":"doi:10.1007/bf02243846","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02243846","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5031522276","display_name":"A. I. Pehlivanov","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"A. I. Pehlivanov","raw_affiliation_strings":["Texas Institute for Computational Mechanics, The University of Texas at Austin, 78712-1085, Austin, Texas, USA","Texas Institute for Computational Mechanics, The University of Texas at Austin, Austin, USA"],"affiliations":[{"raw_affiliation_string":"Texas Institute for Computational Mechanics, The University of Texas at Austin, 78712-1085, Austin, Texas, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Texas Institute for Computational Mechanics, The University of Texas at Austin, Austin, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078215724","display_name":"Graham F. Carey","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. F. Carey","raw_affiliation_strings":["Texas Institute for Computational Mechanics, The University of Texas at Austin, 78712-1085, Austin, Texas, USA","Texas Institute for Computational Mechanics, The University of Texas at Austin, Austin, USA"],"affiliations":[{"raw_affiliation_string":"Texas Institute for Computational Mechanics, The University of Texas at Austin, 78712-1085, Austin, Texas, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Texas Institute for Computational Mechanics, The University of Texas at Austin, Austin, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077310702","display_name":"Raytcho Lazarov","orcid":"https://orcid.org/0000-0002-4911-3685"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. D. Lazarov","raw_affiliation_strings":["Texas Institute for Computational Mechanics, The University of Texas at Austin, 78712-1085, Austin, Texas, USA","Texas Institute for Computational Mechanics, The University of Texas at Austin, Austin, USA"],"affiliations":[{"raw_affiliation_string":"Texas Institute for Computational Mechanics, The University of Texas at Austin, 78712-1085, Austin, Texas, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Texas Institute for Computational Mechanics, The University of Texas at Austin, Austin, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017006836","display_name":"Yishan Shen","orcid":"https://orcid.org/0000-0002-4068-828X"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Y. Shen","raw_affiliation_strings":["Texas Institute for Computational Mechanics, The University of Texas at Austin, 78712-1085, Austin, Texas, USA","Texas Institute for Computational Mechanics, The University of Texas at Austin, Austin, USA"],"affiliations":[{"raw_affiliation_string":"Texas Institute for Computational Mechanics, The University of Texas at Austin, 78712-1085, Austin, Texas, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Texas Institute for Computational Mechanics, The University of Texas at Austin, Austin, USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5031522276"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.6106,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.87323388,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"51","issue":"2","first_page":"111","last_page":"123"},"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/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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9987999796867371,"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/superconvergence","display_name":"Superconvergence","score":0.8916162848472595},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7896455526351929},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.6202759742736816},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6188008785247803},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6123515367507935},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6065548658370972},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5947942137718201},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5642797350883484},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.5464963912963867},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.41859686374664307},{"id":"https://openalex.org/keywords/generalized-least-squares","display_name":"Generalized least squares","score":0.41712331771850586},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37383878231048584},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32208335399627686},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22856304049491882},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.06160050630569458}],"concepts":[{"id":"https://openalex.org/C83295009","wikidata":"https://www.wikidata.org/wiki/Q7643190","display_name":"Superconvergence","level":3,"score":0.8916162848472595},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7896455526351929},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.6202759742736816},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6188008785247803},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6123515367507935},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6065548658370972},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5947942137718201},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5642797350883484},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.5464963912963867},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.41859686374664307},{"id":"https://openalex.org/C188649462","wikidata":"https://www.wikidata.org/wiki/Q2246261","display_name":"Generalized least squares","level":3,"score":0.41712331771850586},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37383878231048584},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32208335399627686},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22856304049491882},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.06160050630569458},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02243846","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02243846","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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":12,"referenced_works":["https://openalex.org/W59463543","https://openalex.org/W1586623601","https://openalex.org/W1708679080","https://openalex.org/W2005539742","https://openalex.org/W2005863459","https://openalex.org/W2015251019","https://openalex.org/W2041523977","https://openalex.org/W2044355921","https://openalex.org/W2070727579","https://openalex.org/W2077070913","https://openalex.org/W2101092223","https://openalex.org/W2321310861"],"related_works":["https://openalex.org/W1996077871","https://openalex.org/W4313595313","https://openalex.org/W2134650372","https://openalex.org/W2050211353","https://openalex.org/W1927177803","https://openalex.org/W2098404380","https://openalex.org/W2500419360","https://openalex.org/W3134060839","https://openalex.org/W1980072765","https://openalex.org/W2086481418"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"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"}
