{"id":"https://openalex.org/W2107577789","doi":"https://doi.org/10.1007/s10915-009-9313-1","title":"A Coupled Legendre-Laguerre Spectral-Element Method for the Navier-Stokes Equations in Unbounded Domains","display_name":"A Coupled Legendre-Laguerre Spectral-Element Method for the Navier-Stokes Equations in Unbounded Domains","publication_year":2009,"publication_date":"2009-07-08","ids":{"openalex":"https://openalex.org/W2107577789","doi":"https://doi.org/10.1007/s10915-009-9313-1","mag":"2107577789"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-009-9313-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-009-9313-1","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/A5078113302","display_name":"Qingqu Zhuang","orcid":"https://orcid.org/0000-0001-5577-9419"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingqu Zhuang","raw_affiliation_strings":["School of Mathematical Sciences, Xiamen University, 361005, Xiamen, China","School of Mathematical Sciences, Xiamen University, Xiamen, China 361005"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Xiamen University, 361005, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"School of Mathematical Sciences, Xiamen University, Xiamen, China 361005","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028981574","display_name":"Jie Shen","orcid":"https://orcid.org/0000-0002-4885-5732"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jie Shen","raw_affiliation_strings":["Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA","Department of Mathematics, Purdue University, West Lafayette, USA 47907"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Department of Mathematics, Purdue University, West Lafayette, USA 47907","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069580279","display_name":"Chuanju Xu","orcid":"https://orcid.org/0000-0002-6689-329X"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chuanju Xu","raw_affiliation_strings":["School of Mathematical Sciences, Xiamen University, 361005, Xiamen, China","School of Mathematical Sciences, Xiamen University, Xiamen, China 361005"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Xiamen University, 361005, Xiamen, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"School of Mathematical Sciences, Xiamen University, Xiamen, China 361005","institution_ids":["https://openalex.org/I191208505"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069580279"],"corresponding_institution_ids":["https://openalex.org/I191208505"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3566,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.66127242,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"42","issue":"1","first_page":"1","last_page":"22"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.998199999332428,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.9161765575408936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8361012935638428},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.8150550127029419},{"id":"https://openalex.org/keywords/spectral-element-method","display_name":"Spectral element method","score":0.725893497467041},{"id":"https://openalex.org/keywords/spectral-method","display_name":"Spectral method","score":0.6442869901657104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6186468005180359},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.48477333784103394},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.45801180601119995},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.44389915466308594},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.430514395236969},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.38984617590904236},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3358193039894104},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.23250189423561096},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2175421416759491},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07919588685035706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.061023563146591187}],"concepts":[{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.9161765575408936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8361012935638428},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.8150550127029419},{"id":"https://openalex.org/C38961997","wikidata":"https://www.wikidata.org/wiki/Q7575186","display_name":"Spectral element method","level":4,"score":0.725893497467041},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.6442869901657104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6186468005180359},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.48477333784103394},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.45801180601119995},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.44389915466308594},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.430514395236969},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.38984617590904236},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3358193039894104},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.23250189423561096},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2175421416759491},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07919588685035706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.061023563146591187},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-009-9313-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-009-9313-1","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.150.8154","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.8154","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.purdue.edu/~shen/pub/ZSX09.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W235449542","https://openalex.org/W1549252824","https://openalex.org/W1708679080","https://openalex.org/W1970939088","https://openalex.org/W1979677378","https://openalex.org/W1984726360","https://openalex.org/W1995908426","https://openalex.org/W2002596607","https://openalex.org/W2019113499","https://openalex.org/W2028522134","https://openalex.org/W2040651749","https://openalex.org/W2055134999","https://openalex.org/W2065522541","https://openalex.org/W2072878685","https://openalex.org/W2118922968","https://openalex.org/W2131778920","https://openalex.org/W2133304313","https://openalex.org/W2133964250","https://openalex.org/W2382572128","https://openalex.org/W2408478130","https://openalex.org/W2969262004","https://openalex.org/W3021821037","https://openalex.org/W4285719527","https://openalex.org/W4298060601"],"related_works":["https://openalex.org/W2365959816","https://openalex.org/W1996752554","https://openalex.org/W2075173897","https://openalex.org/W1964902225","https://openalex.org/W2107577789","https://openalex.org/W2055101223","https://openalex.org/W3095504339","https://openalex.org/W2080945738","https://openalex.org/W3147978221","https://openalex.org/W2127956990"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
