{"id":"https://openalex.org/W4390540575","doi":"https://doi.org/10.1007/s10915-023-02418-9","title":"Recovery Type a Posteriori Error Estimation of an Adaptive Finite Element Method for Cahn\u2013Hilliard Equation","display_name":"Recovery Type a Posteriori Error Estimation of an Adaptive Finite Element Method for Cahn\u2013Hilliard Equation","publication_year":2024,"publication_date":"2024-01-03","ids":{"openalex":"https://openalex.org/W4390540575","doi":"https://doi.org/10.1007/s10915-023-02418-9"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-023-02418-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02418-9","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific 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/A5102723944","display_name":"Yaoyao Chen","orcid":"https://orcid.org/0009-0006-8897-5284"},"institutions":[{"id":"https://openalex.org/I4472751","display_name":"Anhui Normal University","ror":"https://ror.org/05fsfvw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I4472751"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaoyao Chen","raw_affiliation_strings":["School of Mathematics and Statistics, Anhui Normal University, Wuhu, 241000, People\u2019s Republic of China","School of Mathematics and Statistics, Anhui Normal University, Wuhu, 241000, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Anhui Normal University, Wuhu, 241000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4472751"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Anhui Normal University, Wuhu, 241000, People's Republic of China","institution_ids":["https://openalex.org/I4472751"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114049559","display_name":"Yunqing Huang","orcid":"https://orcid.org/0000-0002-0404-0638"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunqing Huang","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, People\u2019s Republic of China","Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4610292"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, People's Republic of China","institution_ids":["https://openalex.org/I4610292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020948241","display_name":"Nianyu Yi","orcid":"https://orcid.org/0000-0002-2106-8237"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nianyu Yi","raw_affiliation_strings":["Hunan Key Laboratory for Computation and Simulation in Science and Engineering, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, People\u2019s Republic of China","Hunan Key Laboratory for Computation and Simulation in Science and Engineering, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunan Key Laboratory for Computation and Simulation in Science and Engineering, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4610292"]},{"raw_affiliation_string":"Hunan Key Laboratory for Computation and Simulation in Science and Engineering, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, People's Republic of China","institution_ids":["https://openalex.org/I4610292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010751299","display_name":"Peimeng Yin","orcid":"https://orcid.org/0000-0002-9188-8011"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Peimeng Yin","raw_affiliation_strings":["Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX, 79968, USA"],"raw_orcid":"https://orcid.org/0000-0002-9188-8011","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX, 79968, USA","institution_ids":["https://openalex.org/I164936912"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010751299"],"corresponding_institution_ids":["https://openalex.org/I164936912"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.6798,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.66769112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"98","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9990000128746033,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9868999719619751,"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":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.855976402759552},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7744036912918091},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7618294954299927},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7279438972473145},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5654166340827942},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5175877809524536},{"id":"https://openalex.org/keywords/cahn\u2013hilliard-equation","display_name":"Cahn\u2013Hilliard equation","score":0.5080854892730713},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42280298471450806},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31423813104629517},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.19452404975891113},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1612282693386078},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09289929270744324}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.855976402759552},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7744036912918091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7618294954299927},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7279438972473145},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5654166340827942},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5175877809524536},{"id":"https://openalex.org/C24822716","wikidata":"https://www.wikidata.org/wiki/Q5017440","display_name":"Cahn\u2013Hilliard equation","level":3,"score":0.5080854892730713},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42280298471450806},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31423813104629517},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.19452404975891113},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1612282693386078},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09289929270744324},{"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},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-023-02418-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-023-02418-9","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2461649109","display_name":null,"funder_award_id":"12201010","funder_id":"https://openalex.org/F4320335581","funder_display_name":"Young Scientists Fund"},{"id":"https://openalex.org/G6317976427","display_name":null,"funder_award_id":"11971410","funder_id":"https://openalex.org/F4320334013","funder_display_name":"Special Foundation for Theoretical Physics Research Program of China"},{"id":"https://openalex.org/G759202790","display_name":null,"funder_award_id":"12071400","funder_id":"https://openalex.org/F4320334013","funder_display_name":"Special Foundation for Theoretical Physics Research Program of China"}],"funders":[{"id":"https://openalex.org/F4320334013","display_name":"Special Foundation for Theoretical Physics Research Program of China","ror":null},{"id":"https://openalex.org/F4320335581","display_name":"Young Scientists Fund","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1586623601","https://openalex.org/W1850510102","https://openalex.org/W1963865657","https://openalex.org/W1964303680","https://openalex.org/W1969100313","https://openalex.org/W1982199944","https://openalex.org/W1986076006","https://openalex.org/W1990518285","https://openalex.org/W1992445851","https://openalex.org/W2019098734","https://openalex.org/W2022298431","https://openalex.org/W2027777648","https://openalex.org/W2030685662","https://openalex.org/W2032257836","https://openalex.org/W2042199582","https://openalex.org/W2046528357","https://openalex.org/W2046780972","https://openalex.org/W2050969603","https://openalex.org/W2066385667","https://openalex.org/W2074006304","https://openalex.org/W2077028260","https://openalex.org/W2079028266","https://openalex.org/W2137911281","https://openalex.org/W2152498898","https://openalex.org/W2168053679","https://openalex.org/W2169845605","https://openalex.org/W2471566829","https://openalex.org/W2626341890","https://openalex.org/W2766149883","https://openalex.org/W2918504611","https://openalex.org/W2949558036","https://openalex.org/W2962738836","https://openalex.org/W2962906715","https://openalex.org/W2963333235","https://openalex.org/W2964580220","https://openalex.org/W2994711561","https://openalex.org/W3088642493","https://openalex.org/W3115786359","https://openalex.org/W4256064871"],"related_works":["https://openalex.org/W2967558384","https://openalex.org/W2048454885","https://openalex.org/W4388311650","https://openalex.org/W2077028260","https://openalex.org/W1974056099","https://openalex.org/W2560215812","https://openalex.org/W4287880334","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W4313645560"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
