{"id":"https://openalex.org/W1976279821","doi":"https://doi.org/10.1137/080727014","title":"Optimized Domain Decomposition Methods for the Spherical Laplacian","display_name":"Optimized Domain Decomposition Methods for the Spherical Laplacian","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1976279821","doi":"https://doi.org/10.1137/080727014","mag":"1976279821"},"language":"en","primary_location":{"id":"doi:10.1137/080727014","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080727014","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://archive-ouverte.unige.ch/unige:6259","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070836239","display_name":"S\u00e9bastien Loisel","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S. Loisel","raw_affiliation_strings":["sloisel@gmail.com and gander@math.unige.ch#TAB#"],"affiliations":[{"raw_affiliation_string":"sloisel@gmail.com and gander@math.unige.ch#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007592568","display_name":"Jean\u2010Fran\u00e7ois C\u00f4t\u00e9","orcid":"https://orcid.org/0000-0002-6437-7638"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. C\u00f4t\u00e9","raw_affiliation_strings":["jean.cote@ec.gc.ca and abdessamad.qaddouri@ec.gc.ca#TAB#"],"affiliations":[{"raw_affiliation_string":"jean.cote@ec.gc.ca and abdessamad.qaddouri@ec.gc.ca#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089456729","display_name":"Martin J. Gander","orcid":"https://orcid.org/0000-0001-8450-9223"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. J. Gander","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074616183","display_name":"Lahcen Laayouni","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L. Laayouni","raw_affiliation_strings":["L.Laayouni@aui.ma#TAB#"],"affiliations":[{"raw_affiliation_string":"L.Laayouni@aui.ma#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034773162","display_name":"Abdessamad Qaddouri","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Qaddouri","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5070836239"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3915,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.87848775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"48","issue":"2","first_page":"524","last_page":"551"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998999834060669,"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"}},"topics":[{"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9995999932289124,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9979000091552734,"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":0.8089785575866699},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.7156134247779846},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.6115006804466248},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.585344672203064},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5293992757797241},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5273260474205017},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.49381503462791443},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.4724681079387665},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.46159622073173523},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.45755043625831604},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44762346148490906},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.4372675120830536},{"id":"https://openalex.org/keywords/dirichlet-problem","display_name":"Dirichlet problem","score":0.43470853567123413},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.42168810963630676},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4206470251083374},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41149580478668213},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2878437042236328},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0721069872379303}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8089785575866699},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.7156134247779846},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.6115006804466248},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.585344672203064},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5293992757797241},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5273260474205017},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.49381503462791443},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.4724681079387665},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.46159622073173523},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.45755043625831604},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44762346148490906},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.4372675120830536},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.43470853567123413},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.42168810963630676},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4206470251083374},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41149580478668213},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2878437042236328},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0721069872379303},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080727014","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080727014","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:unige.ch:aou:unige:6259","is_oa":true,"landing_page_url":"https://archive-ouverte.unige.ch/unige:6259","pdf_url":null,"source":{"id":"https://openalex.org/S4306402259","display_name":"Archive ouverte UNIGE (University of Geneva)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114457229","host_organization_name":"University of Geneva","host_organization_lineage":["https://openalex.org/I114457229"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"ISSN: 0036-1429","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:unige.ch:aou:unige:6259","is_oa":true,"landing_page_url":"https://archive-ouverte.unige.ch/unige:6259","pdf_url":null,"source":{"id":"https://openalex.org/S4306402259","display_name":"Archive ouverte UNIGE (University of Geneva)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114457229","host_organization_name":"University of Geneva","host_organization_lineage":["https://openalex.org/I114457229"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"ISSN: 0036-1429","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1503942291","https://openalex.org/W1554397852","https://openalex.org/W1605939502","https://openalex.org/W1971853808","https://openalex.org/W1975979090","https://openalex.org/W1987152170","https://openalex.org/W2006982175","https://openalex.org/W2007510482","https://openalex.org/W2008215882","https://openalex.org/W2009009606","https://openalex.org/W2015700316","https://openalex.org/W2020633626","https://openalex.org/W2028686249","https://openalex.org/W2031887218","https://openalex.org/W2033318187","https://openalex.org/W2039037605","https://openalex.org/W2060108637","https://openalex.org/W2063974361","https://openalex.org/W2069000441","https://openalex.org/W2072859558","https://openalex.org/W2081016086","https://openalex.org/W2092129801","https://openalex.org/W2113751265","https://openalex.org/W2126362204","https://openalex.org/W2129851503","https://openalex.org/W2171622994","https://openalex.org/W4232897040"],"related_works":["https://openalex.org/W3193886618","https://openalex.org/W2997119684","https://openalex.org/W2988201549","https://openalex.org/W5603432","https://openalex.org/W2150834087","https://openalex.org/W2517260436","https://openalex.org/W2036449252","https://openalex.org/W2342772136","https://openalex.org/W4300200796","https://openalex.org/W2184854647"],"abstract_inverted_index":{"The":[0],"Schwarz":[1],"iteration":[2],"decomposes":[3],"a":[4,9,22,57],"boundary":[5],"value":[6],"problem":[7],"over":[8],"large":[10],"domain":[11],"$\\Omega$":[12],"into":[13],"smaller":[14],"subproblems":[15],"by":[16],"iteratively":[17],"solving":[18],"Dirichlet":[19],"problems":[20],"on":[21,43],"cover":[23],"$\\Omega_{1},\\dots,\\Omega_{p}$":[24],"of":[25,60],"$\\Omega$.":[26,46],"In":[27],"this":[28],"paper,":[29],"we":[30],"discuss":[31],"alternate":[32],"transmission":[33],"conditions":[34],"that":[35],"lead":[36],"to":[37],"faster":[38],"convergence":[39],"for":[40],"the":[41,44],"Laplacian":[42],"sphere":[45],"We":[47],"look":[48],"at":[49],"Robin":[50],"conditions,":[51,55],"second":[52],"order":[53],"tangential":[54],"and":[56],"discretized":[58],"version":[59],"an":[61],"optimal":[62],"but":[63],"nonlocal":[64],"operator.":[65]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
