{"id":"https://openalex.org/W2150177417","doi":"https://doi.org/10.1007/s00211-005-0664-8","title":"The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains","display_name":"The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains","publication_year":2005,"publication_date":"2005-12-22","ids":{"openalex":"https://openalex.org/W2150177417","doi":"https://doi.org/10.1007/s00211-005-0664-8","mag":"2150177417"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-005-0664-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0664-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5019894070","display_name":"Patrick Ciarlet","orcid":"https://orcid.org/0000-0003-1198-5063"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I201181511","display_name":"\u00c9cole Nationale Sup\u00e9rieure de Techniques Avanc\u00e9es","ror":"https://ror.org/0309cs235","country_code":"FR","type":"education","lineage":["https://openalex.org/I201181511","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210146116","display_name":"POEMS: Propagation des Ondes : Etude Math\u00e9matique et Simulationan","ror":"https://ror.org/03gvm2667","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I1326498283","https://openalex.org/I201181511","https://openalex.org/I4210095849","https://openalex.org/I4210126360","https://openalex.org/I4210126360","https://openalex.org/I4210145102","https://openalex.org/I4210146116","https://openalex.org/I4405254745","https://openalex.org/I4405260730"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"P. Ciarlet","raw_affiliation_strings":["ENSTA & CNRS UMR 2706, 32, boulevard Victor, 75739, Paris Cedex 15, France","POEMS - Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation (828, boulevard des Mar\u00e9chaux, 91120 Palaiseau - France)"],"affiliations":[{"raw_affiliation_string":"ENSTA & CNRS UMR 2706, 32, boulevard Victor, 75739, Paris Cedex 15, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I201181511"]},{"raw_affiliation_string":"POEMS - Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation (828, boulevard des Mar\u00e9chaux, 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I4210146116"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114147982","display_name":"Beate Jung","orcid":null},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"B. Jung","raw_affiliation_strings":["Department of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany","Chemnitz University of Technology / Technische Universit\u00e4t Chemnitz (Chemnitz - Germany)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Chemnitz University of Technology, 09107, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Chemnitz University of Technology / Technische Universit\u00e4t Chemnitz (Chemnitz - Germany)","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047624313","display_name":"Samir Kaddouri","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I201181511","display_name":"\u00c9cole Nationale Sup\u00e9rieure de Techniques Avanc\u00e9es","ror":"https://ror.org/0309cs235","country_code":"FR","type":"education","lineage":["https://openalex.org/I201181511","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4405258625","display_name":"\u00c9cole Nationale Sup\u00e9rieure de Techniques Avanc\u00e9es Paris","ror":"https://ror.org/0106ccb15","country_code":"FR","type":"education","lineage":["https://openalex.org/I201181511","https://openalex.org/I4210145102","https://openalex.org/I4405258625"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. Kaddouri","raw_affiliation_strings":["ENSTA & CNRS UMR 2706, 32, boulevard Victor, 75739, Paris Cedex 15, France","ENSTA Paris - \u00c9cole Nationale Sup\u00e9rieure de Techniques Avanc\u00e9es (828, boulevard des Mar\u00e9chaux 91120 Palaiseau - France)"],"affiliations":[{"raw_affiliation_string":"ENSTA & CNRS UMR 2706, 32, boulevard Victor, 75739, Paris Cedex 15, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I201181511"]},{"raw_affiliation_string":"ENSTA Paris - \u00c9cole Nationale Sup\u00e9rieure de Techniques Avanc\u00e9es (828, boulevard des Mar\u00e9chaux 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I201181511","https://openalex.org/I4405258625"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025473573","display_name":"Simon Labrunie","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. Labrunie","raw_affiliation_strings":["IECN, Universit\u00e9 Henri Poincar\u00e9 Nancy I & INRIA (projet CALVI), 54506, Vand\u0153uvre-l\u00e8s- Nancy cedex, France","CALVI - Scientific computation and visualization (France)"],"affiliations":[{"raw_affiliation_string":"IECN, Universit\u00e9 Henri Poincar\u00e9 Nancy I & INRIA (projet CALVI), 54506, Vand\u0153uvre-l\u00e8s- Nancy cedex, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I90183372"]},{"raw_affiliation_string":"CALVI - Scientific computation and visualization (France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090609331","display_name":"Jun Zou","orcid":"https://orcid.org/0000-0002-4809-7724"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"J. Zou","raw_affiliation_strings":["Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T, Hong Kong","CUHK - The Chinese University of Hong Kong [Hong Kong] (Shatin, NT, Hong Kong SAR - China)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T, Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"CUHK - The Chinese University of Hong Kong [Hong Kong] (Shatin, NT, Hong Kong SAR - China)","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5019894070"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I201181511","https://openalex.org/I4210146116"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.9673,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.90752137,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"102","issue":"4","first_page":"583","last_page":"610"},"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":0.9994000196456909,"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":0.9994000196456909,"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":0.9977999925613403,"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/T10221","display_name":"Composite Structure Analysis and Optimization","score":0.9858999848365784,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8247615098953247},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.6648261547088623},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.6366522908210754},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6094478964805603},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6025561094284058},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.5949310064315796},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.5216324925422668},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.47631892561912537},{"id":"https://openalex.org/keywords/conical-surface","display_name":"Conical surface","score":0.45405063033103943},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.42626330256462097},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42016762495040894},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.40684542059898376},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17472797632217407}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8247615098953247},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.6648261547088623},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.6366522908210754},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6094478964805603},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6025561094284058},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.5949310064315796},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.5216324925422668},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.47631892561912537},{"id":"https://openalex.org/C124961601","wikidata":"https://www.wikidata.org/wiki/Q2518149","display_name":"Conical surface","level":2,"score":0.45405063033103943},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.42626330256462097},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42016762495040894},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.40684542059898376},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17472797632217407},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-005-0664-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-005-0664-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00094298v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00094298","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik, 2006, 102, pp.583-610. ⟨10.1007/s00211-005-0664-8⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W147543172","https://openalex.org/W194323848","https://openalex.org/W940192684","https://openalex.org/W1502992081","https://openalex.org/W1542771320","https://openalex.org/W1576246867","https://openalex.org/W1674659126","https://openalex.org/W1979964674","https://openalex.org/W1988738561","https://openalex.org/W1991884177","https://openalex.org/W2000554621","https://openalex.org/W2003043568","https://openalex.org/W2005436751","https://openalex.org/W2007233211","https://openalex.org/W2009955270","https://openalex.org/W2024753911","https://openalex.org/W2027465934","https://openalex.org/W2029443488","https://openalex.org/W2040098164","https://openalex.org/W2059367664","https://openalex.org/W2067823805","https://openalex.org/W2074327661","https://openalex.org/W2075126068","https://openalex.org/W2088288520","https://openalex.org/W2094869469","https://openalex.org/W2109911863","https://openalex.org/W2120062331","https://openalex.org/W2150177417","https://openalex.org/W2151558909","https://openalex.org/W2187840611","https://openalex.org/W2464493836","https://openalex.org/W2477802771","https://openalex.org/W2586226623","https://openalex.org/W2952320894","https://openalex.org/W4299302210"],"related_works":["https://openalex.org/W1493827567","https://openalex.org/W2094684004","https://openalex.org/W4224306892","https://openalex.org/W1574935133","https://openalex.org/W31830636","https://openalex.org/W2370547058","https://openalex.org/W6842695","https://openalex.org/W2331443874","https://openalex.org/W4298260447","https://openalex.org/W1990381924"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}