{"id":"https://openalex.org/W3136146127","doi":"https://doi.org/10.1007/s10915-021-01456-5","title":"Adaptive HDG Methods for the Steady-State Incompressible Navier\u2013Stokes Equations","display_name":"Adaptive HDG Methods for the Steady-State Incompressible Navier\u2013Stokes Equations","publication_year":2021,"publication_date":"2021-03-15","ids":{"openalex":"https://openalex.org/W3136146127","doi":"https://doi.org/10.1007/s10915-021-01456-5","mag":"3136146127"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01456-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01456-5","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/A5037926174","display_name":"Haitao Leng","orcid":"https://orcid.org/0000-0001-5992-2331"},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haitao Leng","raw_affiliation_strings":["School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, Guangdong, China","School of Mathematical Sciences, South China Normal University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, Guangdong, China","institution_ids":["https://openalex.org/I187400657"]},{"raw_affiliation_string":"School of Mathematical Sciences, South China Normal University, Guangzhou, China","institution_ids":["https://openalex.org/I187400657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037926174"],"corresponding_institution_ids":["https://openalex.org/I187400657"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5934,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80242813,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"87","issue":"1","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":1.0,"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":1.0,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9994999766349792,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8796491622924805},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6343929171562195},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6317898035049438},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.5812109112739563},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.5171927213668823},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49589642882347107},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.48235076665878296},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4492623805999756},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.44356653094291687},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4417978823184967},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4166754186153412},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.26416218280792236},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08053556084632874},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07690462470054626},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.07018420100212097}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8796491622924805},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6343929171562195},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6317898035049438},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5812109112739563},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.5171927213668823},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49589642882347107},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.48235076665878296},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4492623805999756},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.44356653094291687},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4417978823184967},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4166754186153412},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.26416218280792236},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08053556084632874},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07690462470054626},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.07018420100212097},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-021-01456-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01456-5","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/G1532995318","display_name":null,"funder_award_id":"12001209","funder_id":"https://openalex.org/F4320335581","funder_display_name":"Young Scientists Fund"}],"funders":[{"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":53,"referenced_works":["https://openalex.org/W46814297","https://openalex.org/W396760590","https://openalex.org/W1561746020","https://openalex.org/W1674659126","https://openalex.org/W1902428307","https://openalex.org/W1972100784","https://openalex.org/W1978567204","https://openalex.org/W1979771104","https://openalex.org/W1984823493","https://openalex.org/W1986296604","https://openalex.org/W1989594010","https://openalex.org/W1990165771","https://openalex.org/W1991960225","https://openalex.org/W1998894128","https://openalex.org/W2013110783","https://openalex.org/W2013150797","https://openalex.org/W2021041911","https://openalex.org/W2022097457","https://openalex.org/W2022741557","https://openalex.org/W2039115741","https://openalex.org/W2040146386","https://openalex.org/W2040355410","https://openalex.org/W2041523977","https://openalex.org/W2056470693","https://openalex.org/W2062861068","https://openalex.org/W2069951215","https://openalex.org/W2070586768","https://openalex.org/W2073432708","https://openalex.org/W2081954723","https://openalex.org/W2083832194","https://openalex.org/W2122602456","https://openalex.org/W2129639910","https://openalex.org/W2155298093","https://openalex.org/W2252126501","https://openalex.org/W2460533716","https://openalex.org/W2770822561","https://openalex.org/W2782043732","https://openalex.org/W2782201482","https://openalex.org/W2794122374","https://openalex.org/W2805459849","https://openalex.org/W2922114682","https://openalex.org/W2923738554","https://openalex.org/W2963049391","https://openalex.org/W2964023956","https://openalex.org/W2964105079","https://openalex.org/W2964181612","https://openalex.org/W2971074505","https://openalex.org/W2972176159","https://openalex.org/W3033447448","https://openalex.org/W3099159118","https://openalex.org/W3155870562","https://openalex.org/W4210300254","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W2012983134","https://openalex.org/W2120874885","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W3152905387","https://openalex.org/W2292863065","https://openalex.org/W2888482338","https://openalex.org/W2334254610","https://openalex.org/W2019487448"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
