{"id":"https://openalex.org/W3163264742","doi":"https://doi.org/10.1080/00207160.2021.1925888","title":"Scalable domain decomposition preconditioner for Navier\u2013Stokes equations coupled with the heat equation","display_name":"Scalable domain decomposition preconditioner for Navier\u2013Stokes equations coupled with the heat equation","publication_year":2021,"publication_date":"2021-05-13","ids":{"openalex":"https://openalex.org/W3163264742","doi":"https://doi.org/10.1080/00207160.2021.1925888","mag":"3163264742"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2021.1925888","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2021.1925888","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.archives-ouvertes.fr/tel-02458872","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063452634","display_name":"Rim Aldbaissy","orcid":"https://orcid.org/0009-0000-6773-0380"},"institutions":[{"id":"https://openalex.org/I184679254","display_name":"Saint Joseph University","ror":"https://ror.org/044fxjq88","country_code":"LB","type":"education","lineage":["https://openalex.org/I184679254"]},{"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","LB"],"is_corresponding":true,"raw_author_name":"Rim Aldbaissy","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9s Paris, France","Laboratoire de Math\u00e9matiques et Applications, Unit\u00e9 de recherche Math\u00e9matiques et Mod\u00e9lisation, Facult\u00e9 des Sciences, Universit\u00e9 Saint-Joseph, Beirut, Lebanon"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9s Paris, France","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I39804081"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques et Applications, Unit\u00e9 de recherche Math\u00e9matiques et Mod\u00e9lisation, Facult\u00e9 des Sciences, Universit\u00e9 Saint-Joseph, Beirut, Lebanon","institution_ids":["https://openalex.org/I184679254"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108196116","display_name":"Fr\u00e9d\u00e9ric Hecht","orcid":null},"institutions":[{"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":false,"raw_author_name":"Fr\u00e9d\u00e9ric Hecht","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9s Paris, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9s Paris, France","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I39804081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008373984","display_name":"Gihane Mansour","orcid":"https://orcid.org/0000-0002-4325-0662"},"institutions":[{"id":"https://openalex.org/I184679254","display_name":"Saint Joseph University","ror":"https://ror.org/044fxjq88","country_code":"LB","type":"education","lineage":["https://openalex.org/I184679254"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Gihane Mansour","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques et Applications, Unit\u00e9 de recherche Math\u00e9matiques et Mod\u00e9lisation, Facult\u00e9 des Sciences, Universit\u00e9 Saint-Joseph, Beirut, Lebanon"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques et Applications, Unit\u00e9 de recherche Math\u00e9matiques et Mod\u00e9lisation, Facult\u00e9 des Sciences, Universit\u00e9 Saint-Joseph, Beirut, Lebanon","institution_ids":["https://openalex.org/I184679254"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033577472","display_name":"Toni Sayah","orcid":"https://orcid.org/0000-0003-1820-4194"},"institutions":[{"id":"https://openalex.org/I184679254","display_name":"Saint Joseph University","ror":"https://ror.org/044fxjq88","country_code":"LB","type":"education","lineage":["https://openalex.org/I184679254"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Toni Sayah","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques et Applications, Unit\u00e9 de recherche Math\u00e9matiques et Mod\u00e9lisation, Facult\u00e9 des Sciences, Universit\u00e9 Saint-Joseph, Beirut, Lebanon"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques et Applications, Unit\u00e9 de recherche Math\u00e9matiques et Mod\u00e9lisation, Facult\u00e9 des Sciences, Universit\u00e9 Saint-Joseph, Beirut, Lebanon","institution_ids":["https://openalex.org/I184679254"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103973914","display_name":"Pierre Henri Tournier","orcid":null},"institutions":[{"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\u00e9s Paris, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, Sorbonne Universit\u00e9s Paris, France","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I39804081"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5063452634"],"corresponding_institution_ids":["https://openalex.org/I184679254","https://openalex.org/I39804081","https://openalex.org/I4210158291"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06821082,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"99","issue":"3","first_page":"591","last_page":"606"},"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":0.9997000098228455,"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"}},"topics":[{"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9962999820709229,"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/preconditioner","display_name":"Preconditioner","score":0.9767616391181946},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.7670018672943115},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.7507776618003845},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7498827576637268},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.742630124092102},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.7047061920166016},{"id":"https://openalex.org/keywords/schwarz-alternating-method","display_name":"Schwarz alternating method","score":0.6650069952011108},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6617841124534607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5054562091827393},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.4735229015350342},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.46343928575515747},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.45322996377944946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4525056779384613},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4321436583995819},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.38595718145370483},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.366644024848938},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.34072399139404297},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1871841847896576},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1434011161327362}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9767616391181946},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.7670018672943115},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.7507776618003845},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7498827576637268},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.742630124092102},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.7047061920166016},{"id":"https://openalex.org/C31278502","wikidata":"https://www.wikidata.org/wiki/Q7433186","display_name":"Schwarz alternating method","level":4,"score":0.6650069952011108},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6617841124534607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5054562091827393},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.4735229015350342},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.46343928575515747},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.45322996377944946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4525056779384613},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4321436583995819},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.38595718145370483},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.366644024848938},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.34072399139404297},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1871841847896576},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1434011161327362},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207160.2021.1925888","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2021.1925888","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:tel-02458872v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/tel-02458872","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":"https://hal.archives-ouvertes.fr/tel-02458872","raw_type":"info:eu-repo/semantics/doctoralThesis"}],"best_oa_location":{"id":"pmh:oai:HAL:tel-02458872v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/tel-02458872","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":"https://hal.archives-ouvertes.fr/tel-02458872","raw_type":"info:eu-repo/semantics/doctoralThesis"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1519509134","https://openalex.org/W1780245888","https://openalex.org/W1975464357","https://openalex.org/W2008215882","https://openalex.org/W2070571481","https://openalex.org/W2082187902","https://openalex.org/W2114535880","https://openalex.org/W2140153041","https://openalex.org/W3098342588","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W1554397852","https://openalex.org/W1877902382","https://openalex.org/W2290784118","https://openalex.org/W4229577910","https://openalex.org/W2773710110","https://openalex.org/W2940255121","https://openalex.org/W2026707481","https://openalex.org/W2613083268","https://openalex.org/W2077463666","https://openalex.org/W3083441863"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,28],"study":[4],"the":[5,22,56,62,81,91,94,101],"thermal":[6],"instability":[7],"that":[8,80,100],"appears":[9],"from":[10],"time":[11,13],"to":[12,85,108],"while":[14],"printing":[15],"using":[16],"a":[17,30,36],"3D":[18],"printer.":[19],"To":[20],"solve":[21],"semi-discretized":[23],"problem":[24],"at":[25],"each":[26],"time-step,":[27],"use":[29],"scalable":[31],"parallel":[32,57],"algorithm":[33],"based":[34],"on":[35,90],"two-level":[37],"Optimized":[38],"Restricted":[39],"Additive":[40],"Schwarz":[41,64],"(ORAS)":[42],"domain":[43],"decomposition":[44],"preconditioner":[45],"for":[46,71],"GMRES.":[47],"Parallel":[48],"scalability":[49],"tests":[50,78],"are":[51],"conducted":[52],"with":[53],"comparison":[54],"against":[55],"direct":[58],"solver":[59],"MUMPS":[60],"and":[61,99],"one-level":[63],"method,":[65],"which":[66],"show":[67],"lack":[68],"of":[69,74,83,93,104],"robustness":[70],"larger":[72],"number":[73,82],"processors.":[75],"2D":[76],"numerical":[77],"illustrate":[79],"iterations":[84],"reach":[86],"GMRES":[87],"convergence":[88],"depends":[89],"state":[92],"physical":[95],"simulation":[96],"during":[97],"time,":[98],"second":[102],"level":[103],"preconditioning":[105],"is":[106],"needed":[107],"achieve":[109],"robustness.":[110]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
