{"id":"https://openalex.org/W2027518728","doi":"https://doi.org/10.1090/s0025-5718-01-01269-8","title":"A spectral method for the Stokes problem in three-dimensional unbounded domains","display_name":"A spectral method for the Stokes problem in three-dimensional unbounded domains","publication_year":2001,"publication_date":"2001-02-08","ids":{"openalex":"https://openalex.org/W2027518728","doi":"https://doi.org/10.1090/s0025-5718-01-01269-8","mag":"2027518728"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-01-01269-8","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-01-01269-8","pdf_url":"https://www.ams.org/mcom/2001-70-236/S0025-5718-01-01269-8/S0025-5718-01-01269-8.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2001-70-236/S0025-5718-01-01269-8/S0025-5718-01-01269-8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113857548","display_name":"Laurence Halpern","orcid":"https://orcid.org/0000-0002-7877-7130"},"institutions":[{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I4210102686","display_name":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","ror":"https://ror.org/018nzqy79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686","https://openalex.org/I4210141950","https://openalex.org/I48825208"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"L. Halpern","raw_affiliation_strings":["LAGA, Institut Galil\u00c3\u00a9e, Universit\u00c3\u00a9 Paris 13, 93430 Villetaneuse, France","LAGA, Institut Galil\u00e9e, Universit\u00e9 Paris-13, 93430 Villetaneuse, France"],"affiliations":[{"raw_affiliation_string":"LAGA, Institut Galil\u00c3\u00a9e, Universit\u00c3\u00a9 Paris 13, 93430 Villetaneuse, France","institution_ids":["https://openalex.org/I4210102686","https://openalex.org/I4210091279"]},{"raw_affiliation_string":"LAGA, Institut Galil\u00e9e, Universit\u00e9 Paris-13, 93430 Villetaneuse, France","institution_ids":["https://openalex.org/I4210102686","https://openalex.org/I4210091279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113857548"],"corresponding_institution_ids":["https://openalex.org/I4210091279","https://openalex.org/I4210102686"],"apc_list":null,"apc_paid":null,"fwci":0.5307,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.68137925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"70","issue":"236","first_page":"1417","last_page":"1436"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8440991640090942},{"id":"https://openalex.org/keywords/vector-spherical-harmonics","display_name":"Vector spherical harmonics","score":0.8081966042518616},{"id":"https://openalex.org/keywords/spherical-harmonics","display_name":"Spherical harmonics","score":0.6983680129051208},{"id":"https://openalex.org/keywords/spin-weighted-spherical-harmonics","display_name":"Spin-weighted spherical harmonics","score":0.6727912425994873},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5653659701347351},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.521782398223877},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5048664212226868},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.46970483660697937},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.44704535603523254},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.42545485496520996},{"id":"https://openalex.org/keywords/harmonics","display_name":"Harmonics","score":0.2585687041282654},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08437639474868774}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8440991640090942},{"id":"https://openalex.org/C77237485","wikidata":"https://www.wikidata.org/wiki/Q7917842","display_name":"Vector spherical harmonics","level":3,"score":0.8081966042518616},{"id":"https://openalex.org/C3768446","wikidata":"https://www.wikidata.org/wiki/Q877100","display_name":"Spherical harmonics","level":2,"score":0.6983680129051208},{"id":"https://openalex.org/C20569695","wikidata":"https://www.wikidata.org/wiki/Q7577353","display_name":"Spin-weighted spherical harmonics","level":4,"score":0.6727912425994873},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5653659701347351},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.521782398223877},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5048664212226868},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.46970483660697937},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.44704535603523254},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.42545485496520996},{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.2585687041282654},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08437639474868774},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1090/s0025-5718-01-01269-8","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-01-01269-8","pdf_url":"https://www.ams.org/mcom/2001-70-236/S0025-5718-01-01269-8/S0025-5718-01-01269-8.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.102.4679","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.4679","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2001-70-236/S0025-5718-01-01269-8/S0025-5718-01-01269-8.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.192.4554","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.4554","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/journals/mcom/2001-70-236/S0025-5718-01-01269-8/S0025-5718-01-01269-8.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.572.9757","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.572.9757","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathaware.org/mcom/2001-70-236/S0025-5718-01-01269-8/S0025-5718-01-01269-8.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-01-01269-8","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-01-01269-8","pdf_url":"https://www.ams.org/mcom/2001-70-236/S0025-5718-01-01269-8/S0025-5718-01-01269-8.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2027518728.pdf","grobid_xml":"https://content.openalex.org/works/W2027518728.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W235449542","https://openalex.org/W1589236075","https://openalex.org/W1674659126","https://openalex.org/W1963745537","https://openalex.org/W1975671214","https://openalex.org/W1991550193","https://openalex.org/W2057507735","https://openalex.org/W2090686476","https://openalex.org/W2091040332","https://openalex.org/W2160615084","https://openalex.org/W2255686936","https://openalex.org/W2320665073","https://openalex.org/W2517137312","https://openalex.org/W2586226623","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W2122307093","https://openalex.org/W4312647289","https://openalex.org/W4313065247","https://openalex.org/W4236552159","https://openalex.org/W4239999982","https://openalex.org/W4243714467","https://openalex.org/W2611466209","https://openalex.org/W2074739555","https://openalex.org/W2004536090","https://openalex.org/W2991285199"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,23],"method":[3,25],"for":[4],"solving":[5],"the":[6,15,18,34],"Stokes":[7],"problem":[8],"in":[9,26],"unbounded":[10],"domains.":[11],"It":[12,29],"relies":[13],"on":[14],"coupling":[16],"of":[17,36],"transparent":[19],"boundary":[20],"operator":[21],"and":[22],"spectral":[24],"spherical":[27,38],"coordinates.":[28],"is":[30,44],"done":[31],"explicitly":[32],"by":[33],"use":[35],"vector-valued":[37],"harmonics.":[39],"A":[40],"uniform":[41],"inf-sup":[42],"condition":[43],"proved,":[45],"which":[46],"provides":[47],"an":[48],"optimal":[49],"error":[50],"estimate.":[51]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}