{"id":"https://openalex.org/W2091040332","doi":"https://doi.org/10.1090/s0025-5718-96-00710-7","title":"Spectral methods in polar coordinates for the Stokes problem. Application to computation in unbounded domains","display_name":"Spectral methods in polar coordinates for the Stokes problem. Application to computation in unbounded domains","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2091040332","doi":"https://doi.org/10.1090/s0025-5718-96-00710-7","mag":"2091040332"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-96-00710-7","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-96-00710-7","pdf_url":"https://www.ams.org/mcom/1996-65-214/S0025-5718-96-00710-7/S0025-5718-96-00710-7.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/1996-65-214/S0025-5718-96-00710-7/S0025-5718-96-00710-7.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/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"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":"Laurence Halpern","raw_affiliation_strings":["Universit\u00c3\u00a9 Paris-Nord, Institut Galil\u00c3\u00a9e, D\u00c3\u00a9partement de Math\u00c3\u00a9matiques, Laboratoire \u00e2\u0080\u009cAnalyse, G\u00c3\u00a9om\u00c3\u00a9trie et Applications\u00e2\u0080\u009d, URA 742 du CNRS, 93430 Villetaneuse, France","Universit\u00e9 Paris-Nord, Institut Galil\u00e9e, D\u00e9partement de Math\u00e9matiques, Laboratoire \u201cAnalyse, G\u00e9om\u00e9trie et Applications\u201d, URA 742 du CNRS, 93430 Villetaneuse, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00c3\u00a9 Paris-Nord, Institut Galil\u00c3\u00a9e, D\u00c3\u00a9partement de Math\u00c3\u00a9matiques, Laboratoire \u00e2\u0080\u009cAnalyse, G\u00c3\u00a9om\u00c3\u00a9trie et Applications\u00e2\u0080\u009d, URA 742 du CNRS, 93430 Villetaneuse, France","institution_ids":["https://openalex.org/I4210102686","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Nord, Institut Galil\u00e9e, D\u00e9partement de Math\u00e9matiques, Laboratoire \u201cAnalyse, G\u00e9om\u00e9trie et Applications\u201d, URA 742 du CNRS, 93430 Villetaneuse, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113857548"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210102686"],"apc_list":null,"apc_paid":null,"fwci":0.5153,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.68154012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"65","issue":"214","first_page":"507","last_page":"531"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8311365842819214},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7266954183578491},{"id":"https://openalex.org/keywords/polar-coordinate-system","display_name":"Polar coordinate system","score":0.6234789490699768},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6191389560699463},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5917358994483948},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.5890895128250122},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5481720566749573},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.5268011689186096},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5263066291809082},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4803386926651001},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.4455210566520691},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.42629408836364746},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.41099244356155396},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3346370458602905},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.301302433013916},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.14762729406356812},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.084933340549469},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07447820901870728}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8311365842819214},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7266954183578491},{"id":"https://openalex.org/C40069579","wikidata":"https://www.wikidata.org/wiki/Q62494","display_name":"Polar coordinate system","level":2,"score":0.6234789490699768},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6191389560699463},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5917358994483948},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.5890895128250122},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5481720566749573},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.5268011689186096},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5263066291809082},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4803386926651001},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4455210566520691},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.42629408836364746},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.41099244356155396},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3346370458602905},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.301302433013916},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.14762729406356812},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.084933340549469},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07447820901870728},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0025-5718-96-00710-7","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-96-00710-7","pdf_url":"https://www.ams.org/mcom/1996-65-214/S0025-5718-96-00710-7/S0025-5718-96-00710-7.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:10.1.1.307.547","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.307.547","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/1996-65-214/S0025-5718-96-00710-7/S0025-5718-96-00710-7.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-96-00710-7","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-96-00710-7","pdf_url":"https://www.ams.org/mcom/1996-65-214/S0025-5718-96-00710-7/S0025-5718-96-00710-7.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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2091040332.pdf","grobid_xml":"https://content.openalex.org/works/W2091040332.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W235449542","https://openalex.org/W357198349","https://openalex.org/W1572548753","https://openalex.org/W1674659126","https://openalex.org/W1975174798","https://openalex.org/W1986293636","https://openalex.org/W1987377268","https://openalex.org/W1991550193","https://openalex.org/W2010532103","https://openalex.org/W2013400589","https://openalex.org/W2029140879","https://openalex.org/W2073732659","https://openalex.org/W2078701365","https://openalex.org/W2090686476","https://openalex.org/W2314359380","https://openalex.org/W2486130444","https://openalex.org/W2586226623","https://openalex.org/W3038165843","https://openalex.org/W4233452330","https://openalex.org/W4235195661","https://openalex.org/W4252104256","https://openalex.org/W4254743102"],"related_works":["https://openalex.org/W49546004","https://openalex.org/W2362929369","https://openalex.org/W4378530320","https://openalex.org/W2161804380","https://openalex.org/W2970011562","https://openalex.org/W4205581374","https://openalex.org/W2387889211","https://openalex.org/W893388528","https://openalex.org/W3122192721","https://openalex.org/W207384436"],"abstract_inverted_index":{"We":[0,27],"present":[1],"spectral":[2],"methods":[3],"for":[4,23],"solving":[5],"the":[6,17,31,39],"Stokes":[7],"problem":[8],"in":[9],"a":[10],"circular":[11],"domain.":[12],"Their":[13],"main":[14],"feature":[15],"is":[16],"uniform":[18],"inf-sup":[19],"condition,":[20],"which":[21],"allows":[22],"optimal":[24],"error":[25],"estimates.":[26],"apply":[28],"them":[29],"to":[30],"resolution":[32],"of":[33],"exterior":[34],"problems":[35],"by":[36],"coupling":[37],"with":[38],"transparent":[40],"boundary":[41],"condition.":[42]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
