{"id":"https://openalex.org/W2032396438","doi":"https://doi.org/10.1090/s0025-5718-07-02028-5","title":"A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates","display_name":"A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates","publication_year":2007,"publication_date":"2007-10-18","ids":{"openalex":"https://openalex.org/W2032396438","doi":"https://doi.org/10.1090/s0025-5718-07-02028-5","mag":"2032396438"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-07-02028-5","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-07-02028-5","pdf_url":"https://www.ams.org/mcom/2008-77-262/S0025-5718-07-02028-5/S0025-5718-07-02028-5.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2008-77-262/S0025-5718-07-02028-5/S0025-5718-07-02028-5.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":true,"raw_author_name":"C. Carstensen","raw_affiliation_strings":["Institut f\u00c3\u00bcr Mathematik, Humboldt Universit\u00c3\u00a4t zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany","Institut f\u00fcr Mathematik, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, D-10099 Berlin,Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00c3\u00bcr Mathematik, Humboldt Universit\u00c3\u00a4t zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, D-10099 Berlin,Germany","institution_ids":["https://openalex.org/I39343248"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028500115","display_name":"Jun Hu","orcid":"https://orcid.org/0000-0002-4565-3000"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Hu","raw_affiliation_strings":["LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, People\u00e2\u0080\u0099s Republic of China","LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, People\u00e2\u0080\u0099s Republic of China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036808184"],"corresponding_institution_ids":["https://openalex.org/I39343248"],"apc_list":null,"apc_paid":null,"fwci":2.1414,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.86094249,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"77","issue":"262","first_page":"611","last_page":"632"},"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":0.9991999864578247,"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":0.9991999864578247,"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":0.9976000189781189,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9932000041007996,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7816247344017029},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7113576531410217},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.5382784008979797},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38198789954185486}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7816247344017029},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7113576531410217},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.5382784008979797},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38198789954185486},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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":5,"locations":[{"id":"doi:10.1090/s0025-5718-07-02028-5","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-07-02028-5","pdf_url":"https://www.ams.org/mcom/2008-77-262/S0025-5718-07-02028-5/S0025-5718-07-02028-5.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.153.7625","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.153.7625","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2008-77-262/S0025-5718-07-02028-5/S0025-5718-07-02028-5.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.540.5164","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.540.5164","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://webdoc.sub.gwdg.de/ebook/serien/e/preprint_HUB/P-07-02.pdf","raw_type":"text"},{"id":"pmh:oai:edoc.hu-berlin.de:18452/3412","is_oa":false,"landing_page_url":"http://edoc.hu-berlin.de/18452/3412","pdf_url":null,"source":{"id":"https://openalex.org/S4306400923","display_name":"edoc Publication server (Humboldt University of Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39343248","host_organization_name":"Humboldt-Universit\u00e4t zu Berlin","host_organization_lineage":["https://openalex.org/I39343248"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"book"},{"id":"doi:10.18452/2760","is_oa":true,"landing_page_url":"https://doi.org/10.18452/2760","pdf_url":null,"source":{"id":"https://openalex.org/S4306400923","display_name":"edoc Publication server (Humboldt University of Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39343248","host_organization_name":"Humboldt-Universit\u00e4t zu Berlin","host_organization_lineage":["https://openalex.org/I39343248"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"book"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-07-02028-5","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-07-02028-5","pdf_url":"https://www.ams.org/mcom/2008-77-262/S0025-5718-07-02028-5/S0025-5718-07-02028-5.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323700","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2032396438.pdf","grobid_xml":"https://content.openalex.org/works/W2032396438.grobid-xml"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W136185420","https://openalex.org/W1492326914","https://openalex.org/W1500265572","https://openalex.org/W1591608973","https://openalex.org/W1852082788","https://openalex.org/W1969462451","https://openalex.org/W1969675560","https://openalex.org/W1976773674","https://openalex.org/W1986097487","https://openalex.org/W1990941154","https://openalex.org/W1991682659","https://openalex.org/W1994666316","https://openalex.org/W1995404822","https://openalex.org/W1995620712","https://openalex.org/W2005881662","https://openalex.org/W2007081452","https://openalex.org/W2007187208","https://openalex.org/W2009985306","https://openalex.org/W2011884938","https://openalex.org/W2016094849","https://openalex.org/W2033522690","https://openalex.org/W2035654636","https://openalex.org/W2039754750","https://openalex.org/W2041523977","https://openalex.org/W2042252224","https://openalex.org/W2043837727","https://openalex.org/W2047784259","https://openalex.org/W2051043245","https://openalex.org/W2054810687","https://openalex.org/W2071036364","https://openalex.org/W2092973465","https://openalex.org/W2093299766","https://openalex.org/W2120627663","https://openalex.org/W2128194203","https://openalex.org/W2132782245","https://openalex.org/W2157121531","https://openalex.org/W2164224532","https://openalex.org/W2172016689","https://openalex.org/W2199169705","https://openalex.org/W2491027544","https://openalex.org/W2505585705","https://openalex.org/W2561107683","https://openalex.org/W2569670394","https://openalex.org/W2587288333","https://openalex.org/W2934526567","https://openalex.org/W3132178687","https://openalex.org/W3149667697","https://openalex.org/W4244542537","https://openalex.org/W4245007249","https://openalex.org/W4246704835","https://openalex.org/W4292166829","https://openalex.org/W6601241631","https://openalex.org/W6602644770","https://openalex.org/W6608131559","https://openalex.org/W6609620252","https://openalex.org/W6636093862","https://openalex.org/W6676469708","https://openalex.org/W6813285973","https://openalex.org/W6835056383"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4299447939","https://openalex.org/W2610540941","https://openalex.org/W2332908959","https://openalex.org/W3007553996","https://openalex.org/W4361267288","https://openalex.org/W1981407372","https://openalex.org/W2023658642","https://openalex.org/W2893622182"],"abstract_inverted_index":{"This":[0],"paper":[1],"establishes":[2],"a":[3,5,10,46],"<italic>unified</italic>":[4],"posteriori":[6,47],"error":[7,48],"estimator":[8,49],"for":[9,18],"large":[11],"class":[12],"of":[13,34,63],"conforming":[14,86,91],"finite":[15,92],"element":[16,93],"methods":[17,94],"the":[19,32,35,53,56,64,99],"Reissner-Mindlin":[20],"plate":[21,65],"problem.":[22],"The":[23,42,80],"analysis":[24,82],"is":[25,50],"based":[26],"on":[27,31],"some":[28],"assumption":[29],"(H)":[30],"consistency":[33],"reduction":[36],"integration":[37,97],"to":[38,84],"avoid":[39],"shear":[40],"locking.":[41],"reliable":[43],"and":[44,58,89],"efficient":[45],"robust":[51],"in":[52],"sense":[54],"that":[55],"reliability":[57],"efficiency":[59],"constants":[60],"are":[61],"independent":[62],"thickness":[66],"<inline-formula":[67],"content-type=\"math/mathml\">":[68],"<mml:math":[69],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[70],"alttext=\"t\">":[71],"<mml:semantics>":[72],"<mml:mi>t</mml:mi>":[73],"<mml:annotation":[74],"encoding=\"application/x-tex\">t</mml:annotation>":[75],"</mml:semantics>":[76],"</mml:math>":[77],"</inline-formula>":[78],".":[79],"presented":[81],"applies":[83],"all":[85,90],"MITC":[87],"elements":[88],"without":[95],"reduced":[96],"from":[98],"literature.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
