{"id":"https://openalex.org/W4404488437","doi":"https://doi.org/10.1007/s11075-024-01968-9","title":"Optimal error estimate of fully discrete HDG-IEQ scheme for the general type Cahn-Hilliard equation","display_name":"Optimal error estimate of fully discrete HDG-IEQ scheme for the general type Cahn-Hilliard equation","publication_year":2024,"publication_date":"2024-11-18","ids":{"openalex":"https://openalex.org/W4404488437","doi":"https://doi.org/10.1007/s11075-024-01968-9"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-024-01968-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-024-01968-9","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5009419515","display_name":"Jiangxing Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I173759888","display_name":"Hunan Normal University","ror":"https://ror.org/053w1zy07","country_code":"CN","type":"education","lineage":["https://openalex.org/I173759888"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiangxing Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan, 410081, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan, 410081, China","institution_ids":["https://openalex.org/I173759888"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029772640","display_name":"Kejia Pan","orcid":"https://orcid.org/0000-0001-5768-7972"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kejia Pan","raw_affiliation_strings":["HNP-LAMA, School of Mathematics and Statistics, Central South University, Changsha, 410083, China"],"affiliations":[{"raw_affiliation_string":"HNP-LAMA, School of Mathematics and Statistics, Central South University, Changsha, 410083, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103283868","display_name":"Lina Ma","orcid":"https://orcid.org/0000-0003-1727-2347"},"institutions":[{"id":"https://openalex.org/I56722557","display_name":"Trinity College","ror":"https://ror.org/03j3dbz94","country_code":"US","type":"education","lineage":["https://openalex.org/I56722557"]},{"id":"https://openalex.org/I4401726811","display_name":"Hartford Financial Services (United States)","ror":"https://ror.org/00mwq1g96","country_code":null,"type":"company","lineage":["https://openalex.org/I4401726811"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lina Ma","raw_affiliation_strings":["Department of Mathematics, Trinity College, Hartford, CT, 06106, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Trinity College, Hartford, CT, 06106, USA","institution_ids":["https://openalex.org/I56722557","https://openalex.org/I4401726811"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087626817","display_name":"Xiaofeng Yang","orcid":"https://orcid.org/0000-0002-0828-0807"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiaofeng Yang","raw_affiliation_strings":["Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA","institution_ids":["https://openalex.org/I155781252"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5087626817"],"corresponding_institution_ids":["https://openalex.org/I155781252"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3883,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59755638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"100","issue":"1","first_page":"487","last_page":"527"},"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":0.998199999332428,"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":0.998199999332428,"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/T11087","display_name":"Solidification and crystal growth phenomena","score":0.998199999332428,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9894000291824341,"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/mathematics","display_name":"Mathematics","score":0.7406324148178101},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6372550129890442},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6205812096595764},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5797731280326843},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5290279388427734},{"id":"https://openalex.org/keywords/cahn\u2013hilliard-equation","display_name":"Cahn\u2013Hilliard equation","score":0.4941456615924835},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3790196478366852},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37555527687072754},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21735471487045288},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.16079497337341309}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7406324148178101},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6372550129890442},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6205812096595764},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5797731280326843},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5290279388427734},{"id":"https://openalex.org/C24822716","wikidata":"https://www.wikidata.org/wiki/Q5017440","display_name":"Cahn\u2013Hilliard equation","level":3,"score":0.4941456615924835},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3790196478366852},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37555527687072754},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21735471487045288},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.16079497337341309},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-024-01968-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-024-01968-9","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2316728520","display_name":null,"funder_award_id":"DMS-2012490","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3003783188","display_name":null,"funder_award_id":"41874086","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6308807554","display_name":null,"funder_award_id":"52331002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1850510102","https://openalex.org/W1963865657","https://openalex.org/W1967868847","https://openalex.org/W1969100313","https://openalex.org/W1973728860","https://openalex.org/W1984015193","https://openalex.org/W1992445851","https://openalex.org/W1993443533","https://openalex.org/W1998894128","https://openalex.org/W2004250472","https://openalex.org/W2007734178","https://openalex.org/W2026480926","https://openalex.org/W2035678751","https://openalex.org/W2046528357","https://openalex.org/W2050969603","https://openalex.org/W2065302471","https://openalex.org/W2071831755","https://openalex.org/W2073432708","https://openalex.org/W2074622236","https://openalex.org/W2077028260","https://openalex.org/W2079028266","https://openalex.org/W2091453196","https://openalex.org/W2097637017","https://openalex.org/W2142472174","https://openalex.org/W2194998795","https://openalex.org/W2225449139","https://openalex.org/W2319656463","https://openalex.org/W2435162739","https://openalex.org/W2509217983","https://openalex.org/W2526298107","https://openalex.org/W2559303014","https://openalex.org/W2586399848","https://openalex.org/W2626341890","https://openalex.org/W2736147079","https://openalex.org/W2759929367","https://openalex.org/W2766149883","https://openalex.org/W2795025401","https://openalex.org/W2803199447","https://openalex.org/W2809405697","https://openalex.org/W2901687459","https://openalex.org/W2912075042","https://openalex.org/W2917092178","https://openalex.org/W2952641380","https://openalex.org/W2962906715","https://openalex.org/W2963333235","https://openalex.org/W2964580220","https://openalex.org/W3005492711","https://openalex.org/W3007637113","https://openalex.org/W3018976209","https://openalex.org/W3099925677","https://openalex.org/W3100645514","https://openalex.org/W3103747778","https://openalex.org/W4206208254","https://openalex.org/W4239837487","https://openalex.org/W4256064871","https://openalex.org/W6600075554"],"related_works":["https://openalex.org/W2967558384","https://openalex.org/W2048454885","https://openalex.org/W2077028260","https://openalex.org/W57680709","https://openalex.org/W2059693824","https://openalex.org/W1969464363","https://openalex.org/W2968867992","https://openalex.org/W2002382107","https://openalex.org/W2973230771","https://openalex.org/W4390682253"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
