{"id":"https://openalex.org/W4376136874","doi":"https://doi.org/10.1007/s10444-023-10028-0","title":"An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows","display_name":"An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows","publication_year":2023,"publication_date":"2023-05-11","ids":{"openalex":"https://openalex.org/W4376136874","doi":"https://doi.org/10.1007/s10444-023-10028-0"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-023-10028-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-023-10028-0","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5031991069","display_name":"Guang\u2010an Zou","orcid":null},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guang-an Zou","raw_affiliation_strings":["Henan Engineering Research Center for Artificial Intelligence Theory and Algorithms, Henan University, Kaifeng, 475004, People\u2019s Republic of China","School of Mathematics and Statistics, Henan University, Kaifeng, 475004, People\u2019s Republic of China","School of Mathematics and Statistics, Henan University, Kaifeng, 475004, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-2662-8587","affiliations":[{"raw_affiliation_string":"Henan Engineering Research Center for Artificial Intelligence Theory and Algorithms, Henan University, Kaifeng, 475004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I173899330"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University, Kaifeng, 475004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I173899330"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University, Kaifeng, 475004, People's Republic of China","institution_ids":["https://openalex.org/I173899330"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100451346","display_name":"Xuyang Wang","orcid":"https://orcid.org/0009-0006-6597-6049"},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuyang Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Henan University, Kaifeng, 475004, People\u2019s Republic of China","School of Mathematics and Statistics, Henan University, Kaifeng, 475004, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University, Kaifeng, 475004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I173899330"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Henan University, Kaifeng, 475004, People's Republic of China","institution_ids":["https://openalex.org/I173899330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100402579","display_name":"Jian Li","orcid":"https://orcid.org/0000-0003-1357-3089"},"institutions":[{"id":"https://openalex.org/I51622183","display_name":"Shaanxi University of Science and Technology","ror":"https://ror.org/034t3zs45","country_code":"CN","type":"education","lineage":["https://openalex.org/I51622183"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Li","raw_affiliation_strings":["School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi\u2019an, 710021, People\u2019s Republic of China","School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi'an, 710021, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi\u2019an, 710021, People\u2019s Republic of China","institution_ids":["https://openalex.org/I51622183"]},{"raw_affiliation_string":"School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xi'an, 710021, People's Republic of China","institution_ids":["https://openalex.org/I51622183"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031991069"],"corresponding_institution_ids":["https://openalex.org/I173899330"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.2776,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.86784416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"49","issue":"3","first_page":null,"last_page":null},"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":0.9966999888420105,"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":0.9966999888420105,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9957000017166138,"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/T12141","display_name":"Fluid Dynamics and Thin Films","score":0.9915000200271606,"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/discretization","display_name":"Discretization","score":0.8445578217506409},{"id":"https://openalex.org/keywords/liquid-crystal","display_name":"Liquid crystal","score":0.8310219049453735},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6741386651992798},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6625436544418335},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5414872169494629},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5318728685379028},{"id":"https://openalex.org/keywords/crank\u2013nicolson-method","display_name":"Crank\u2013Nicolson method","score":0.5013101100921631},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4951912462711334},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.45130786299705505},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42009931802749634},{"id":"https://openalex.org/keywords/temporal-discretization","display_name":"Temporal discretization","score":0.41322600841522217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33345067501068115},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13651436567306519},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13243511319160461},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.07895824313163757}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8445578217506409},{"id":"https://openalex.org/C13274807","wikidata":"https://www.wikidata.org/wiki/Q203989","display_name":"Liquid crystal","level":2,"score":0.8310219049453735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6741386651992798},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6625436544418335},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5414872169494629},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5318728685379028},{"id":"https://openalex.org/C180931078","wikidata":"https://www.wikidata.org/wiki/Q588725","display_name":"Crank\u2013Nicolson method","level":3,"score":0.5013101100921631},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4951912462711334},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.45130786299705505},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42009931802749634},{"id":"https://openalex.org/C2778327290","wikidata":"https://www.wikidata.org/wiki/Q17146496","display_name":"Temporal discretization","level":3,"score":0.41322600841522217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33345067501068115},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13651436567306519},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13243511319160461},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.07895824313163757},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-023-10028-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-023-10028-0","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8999999761581421}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W130947653","https://openalex.org/W2006000775","https://openalex.org/W2031617414","https://openalex.org/W2034174857","https://openalex.org/W2045686441","https://openalex.org/W2047049848","https://openalex.org/W2049031884","https://openalex.org/W2050448823","https://openalex.org/W2062988345","https://openalex.org/W2065357863","https://openalex.org/W2066944044","https://openalex.org/W2084889427","https://openalex.org/W2086365560","https://openalex.org/W2091489649","https://openalex.org/W2099505500","https://openalex.org/W2111450821","https://openalex.org/W2156201971","https://openalex.org/W2157252460","https://openalex.org/W2160092086","https://openalex.org/W2168914934","https://openalex.org/W2192936953","https://openalex.org/W2261462768","https://openalex.org/W2345742189","https://openalex.org/W2537992595","https://openalex.org/W2604714644","https://openalex.org/W2604774386","https://openalex.org/W2795226531","https://openalex.org/W2889002735","https://openalex.org/W2895096231","https://openalex.org/W2919136764","https://openalex.org/W2962945174","https://openalex.org/W2962973556","https://openalex.org/W2963131956","https://openalex.org/W2963651557","https://openalex.org/W2963762466","https://openalex.org/W2964307594","https://openalex.org/W2970129409","https://openalex.org/W3138637680","https://openalex.org/W3164711399","https://openalex.org/W4224050058","https://openalex.org/W4233665781","https://openalex.org/W4295113695","https://openalex.org/W4321243257","https://openalex.org/W4321248203"],"related_works":["https://openalex.org/W2742566711","https://openalex.org/W2963723134","https://openalex.org/W4312204826","https://openalex.org/W3020987106","https://openalex.org/W4388482258","https://openalex.org/W2912760713","https://openalex.org/W2159965397","https://openalex.org/W2900523287","https://openalex.org/W2751591742","https://openalex.org/W2891682288"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2}],"updated_date":"2026-02-06T02:01:19.302388","created_date":"2025-10-10T00:00:00"}