{"id":"https://openalex.org/W3196657263","doi":"https://doi.org/10.1007/s10915-021-01631-8","title":"Analysis of the SORAS Domain Decomposition Preconditioner for Non-self-adjoint or Indefinite Problems","display_name":"Analysis of the SORAS Domain Decomposition Preconditioner for Non-self-adjoint or Indefinite Problems","publication_year":2021,"publication_date":"2021-08-31","ids":{"openalex":"https://openalex.org/W3196657263","doi":"https://doi.org/10.1007/s10915-021-01631-8","mag":"3196657263"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01631-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01631-8","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-02513123","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010218507","display_name":"Marcella Bonazzoli","orcid":"https://orcid.org/0000-0002-0284-5643"},"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/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Marcella Bonazzoli","raw_affiliation_strings":["Inria, Centre de Math\u00e9matiques Appliqu\u00e9es, CNRS, \u00c9cole Polytechnique, Institut Polytechnique de Paris, 91128, Palaiseau, France","DeFI  - Shape reconstruction and identification (Centre de Math\u00e9matiques Appliqu\u00e9es Ecole Polytechnique Route de Saclay 91128 Palaiseau FRANCE - France)","IDEFIX - Inversion of Differential Equations For Imaging and physiX (Centre de recherche Inria Saclay - \u00cele-de-France. Campus de l'\u00c9cole Polytechnique - B\u00e2timent Alan Turing. 1 rue Honor\u00e9 d'Estienne d'Orves. 91120 Palaiseau France - France)"],"affiliations":[{"raw_affiliation_string":"Inria, Centre de Math\u00e9matiques Appliqu\u00e9es, CNRS, \u00c9cole Polytechnique, Institut Polytechnique de Paris, 91128, Palaiseau, France","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"DeFI  - Shape reconstruction and identification (Centre de Math\u00e9matiques Appliqu\u00e9es Ecole Polytechnique Route de Saclay 91128 Palaiseau FRANCE - France)","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I142476485"]},{"raw_affiliation_string":"IDEFIX - Inversion of Differential Equations For Imaging and physiX (Centre de recherche Inria Saclay - \u00cele-de-France. Campus de l'\u00c9cole Polytechnique - B\u00e2timent Alan Turing. 1 rue Honor\u00e9 d'Estienne d'Orves. 91120 Palaiseau France - France)","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I142476485"]}]},{"author_position":"middle","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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Claeys","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9, CNRS, Inria, Universit\u00e9 de Paris, 75005, 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, Sorbonne Universit\u00e9, CNRS, Inria, Universit\u00e9 de Paris, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","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":"middle","author":{"id":"https://openalex.org/A5109091033","display_name":"Fr\u00e9d\u00e9ric Nataf","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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Nataf","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9, CNRS, Inria, Universit\u00e9 de Paris, 75005, Paris, France","ALPINES - Algorithms and parallel tools for integrated numerical simulations (France)","LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9, CNRS, Inria, Universit\u00e9 de Paris, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"ALPINES - Algorithms and parallel tools for integrated numerical simulations (France)","institution_ids":[]},{"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"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108641349","display_name":"Pierre-Henri Tournier","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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre-Henri Tournier","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9, CNRS, Inria, Universit\u00e9 de Paris, 75005, 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, Sorbonne Universit\u00e9, CNRS, Inria, Universit\u00e9 de Paris, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","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":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010218507"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210126360"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8861,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.70098982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"89","issue":"1","first_page":null,"last_page":null},"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":0.9995999932289124,"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"}},"topics":[{"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"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/T10514","display_name":"Numerical methods in engineering","score":0.9991000294685364,"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":0.8809825778007507},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.8685114979743958},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.7179021239280701},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5094864964485168},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4826243817806244},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4688250720500946},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4677455723285675},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.4589042067527771},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.43728509545326233},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42921650409698486},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39604172110557556},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.30022820830345154},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.19887402653694153}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8809825778007507},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8685114979743958},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.7179021239280701},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5094864964485168},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4826243817806244},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4688250720500946},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4677455723285675},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.4589042067527771},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.43728509545326233},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42921650409698486},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39604172110557556},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.30022820830345154},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.19887402653694153},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-021-01631-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01631-8","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02513123v3","is_oa":true,"landing_page_url":"https://hal.science/hal-02513123","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":"Journal of Scientific Computing, 2021, 89, ⟨10.1007/s10915-021-01631-8⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02513123v3","is_oa":true,"landing_page_url":"https://hal.science/hal-02513123","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":"Journal of Scientific Computing, 2021, 89, ⟨10.1007/s10915-021-01631-8⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W149522324","https://openalex.org/W207827633","https://openalex.org/W1503942291","https://openalex.org/W1550543785","https://openalex.org/W1586623601","https://openalex.org/W1673309917","https://openalex.org/W1780245888","https://openalex.org/W1932034027","https://openalex.org/W1969745760","https://openalex.org/W1977061454","https://openalex.org/W1980584261","https://openalex.org/W1995788694","https://openalex.org/W2008215882","https://openalex.org/W2024949119","https://openalex.org/W2031804122","https://openalex.org/W2031887218","https://openalex.org/W2033447735","https://openalex.org/W2041523977","https://openalex.org/W2062246266","https://openalex.org/W2063228755","https://openalex.org/W2068395392","https://openalex.org/W2070232376","https://openalex.org/W2070299075","https://openalex.org/W2093672390","https://openalex.org/W2116621195","https://openalex.org/W2140323003","https://openalex.org/W2161243591","https://openalex.org/W2486065172","https://openalex.org/W2488658169","https://openalex.org/W2767278683","https://openalex.org/W2806526478","https://openalex.org/W2963726548","https://openalex.org/W3087680391","https://openalex.org/W3111536438","https://openalex.org/W4210300254","https://openalex.org/W4300079339"],"related_works":["https://openalex.org/W4229577910","https://openalex.org/W2800324324","https://openalex.org/W2640255794","https://openalex.org/W2743060302","https://openalex.org/W2054089597","https://openalex.org/W2791597622","https://openalex.org/W2117656216","https://openalex.org/W2026707481","https://openalex.org/W2612464611","https://openalex.org/W2781887576"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}