{"id":"https://openalex.org/W3010737952","doi":"https://doi.org/10.1007/s00211-022-01288-x","title":"Robust treatment of cross-points in optimized Schwarz methods","display_name":"Robust treatment of cross-points in optimized Schwarz methods","publication_year":2022,"publication_date":"2022-05-22","ids":{"openalex":"https://openalex.org/W3010737952","doi":"https://doi.org/10.1007/s00211-022-01288-x","mag":"3010737952"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-022-01288-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-022-01288-x","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2003.06657","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002742743","display_name":"Xavier Claeys","orcid":"https://orcid.org/0000-0003-0826-6244"},"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/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/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Xavier Claeys","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, \u00e9quipe Alpines, CNRS, Inria, Sorbonne Universit\u00e9, Universit\u00e9 Paris-Diderot SPC, Paris, France","LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","ALPINES - Algorithms and parallel tools for integrated numerical simulations (France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, \u00e9quipe Alpines, CNRS, Inria, Sorbonne Universit\u00e9, Universit\u00e9 Paris-Diderot SPC, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I204730241","https://openalex.org/I4210158291","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"ALPINES - Algorithms and parallel tools for integrated numerical simulations (France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048027452","display_name":"\u00c9mile Parolin","orcid":"https://orcid.org/0000-0002-6512-7980"},"institutions":[{"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"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Emile Parolin","raw_affiliation_strings":["POems, UMR CNRS/ENSTA/Inria, Institut Polytechnique de Paris, Palaiseau, France","POEMS - Propagation des Ondes : \u00c9tude Math\u00e9matique et Simulation (828, boulevard des Mar\u00e9chaux, 91120 Palaiseau - France)"],"affiliations":[{"raw_affiliation_string":"POems, UMR CNRS/ENSTA/Inria, Institut Polytechnique de Paris, Palaiseau, France","institution_ids":["https://openalex.org/I1294671590"]},{"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"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002742743"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210158291"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8296,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.69885056,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"151","issue":"2","first_page":"405","last_page":"442"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.7722476720809937},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6898229122161865},{"id":"https://openalex.org/keywords/helmholtz-equation","display_name":"Helmholtz equation","score":0.6185389757156372},{"id":"https://openalex.org/keywords/schwarz-alternating-method","display_name":"Schwarz alternating method","score":0.5260508060455322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4641515016555786},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46083715558052063},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44349849224090576},{"id":"https://openalex.org/keywords/traverse","display_name":"Traverse","score":0.4291917383670807},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42375725507736206},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4222072958946228},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3008214235305786},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.2481311559677124},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.13480916619300842}],"concepts":[{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.7722476720809937},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6898229122161865},{"id":"https://openalex.org/C18591234","wikidata":"https://www.wikidata.org/wiki/Q860615","display_name":"Helmholtz equation","level":3,"score":0.6185389757156372},{"id":"https://openalex.org/C31278502","wikidata":"https://www.wikidata.org/wiki/Q7433186","display_name":"Schwarz alternating method","level":4,"score":0.5260508060455322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4641515016555786},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46083715558052063},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44349849224090576},{"id":"https://openalex.org/C176809094","wikidata":"https://www.wikidata.org/wiki/Q15401496","display_name":"Traverse","level":2,"score":0.4291917383670807},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42375725507736206},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4222072958946228},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3008214235305786},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.2481311559677124},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.13480916619300842},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00211-022-01288-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-022-01288-x","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:arXiv.org:2003.06657","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.06657","pdf_url":"https://arxiv.org/pdf/2003.06657","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-03118695v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03118695","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerische Mathematik, 2022, 151 (2), pp.405-442. &#x27E8;10.1007/s00211-022-01288-x&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2003.06657","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.06657","pdf_url":"https://arxiv.org/pdf/2003.06657","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W137513558","https://openalex.org/W174614950","https://openalex.org/W626225718","https://openalex.org/W1504642953","https://openalex.org/W1548589512","https://openalex.org/W1586623601","https://openalex.org/W1590740324","https://openalex.org/W1601728065","https://openalex.org/W1780245888","https://openalex.org/W1894950222","https://openalex.org/W1987152170","https://openalex.org/W2003751325","https://openalex.org/W2008020194","https://openalex.org/W2009985306","https://openalex.org/W2049289952","https://openalex.org/W2049749103","https://openalex.org/W2070232376","https://openalex.org/W2077076867","https://openalex.org/W2079602450","https://openalex.org/W2087170426","https://openalex.org/W2087828859","https://openalex.org/W2112311198","https://openalex.org/W2120575449","https://openalex.org/W2135167588","https://openalex.org/W2496081756","https://openalex.org/W2496234105","https://openalex.org/W2508467042","https://openalex.org/W2521434405","https://openalex.org/W2906830943","https://openalex.org/W2943167654","https://openalex.org/W2970058161","https://openalex.org/W3000597277","https://openalex.org/W3087680391","https://openalex.org/W3091209979","https://openalex.org/W3093517467","https://openalex.org/W3107286782","https://openalex.org/W3134577105","https://openalex.org/W3204708751","https://openalex.org/W4292079583"],"related_works":["https://openalex.org/W1857348759","https://openalex.org/W596860038","https://openalex.org/W2153233687","https://openalex.org/W2286395548","https://openalex.org/W4211094555","https://openalex.org/W2504287632","https://openalex.org/W4288364146","https://openalex.org/W2061746173","https://openalex.org/W2940897047","https://openalex.org/W2005295558"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
