{"id":"https://openalex.org/W2615350353","doi":"https://doi.org/10.1007/s11075-018-0492-4","title":"Parallel computing investigations for the projection method applied to the interface transport scheme of a two-phase flow by the method of characteristics","display_name":"Parallel computing investigations for the projection method applied to the interface transport scheme of a two-phase flow by the method of characteristics","publication_year":2018,"publication_date":"2018-02-21","ids":{"openalex":"https://openalex.org/W2615350353","doi":"https://doi.org/10.1007/s11075-018-0492-4","mag":"2615350353"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-018-0492-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0492-4","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01470551","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069040740","display_name":"Mireille Haddad","orcid":"https://orcid.org/0000-0002-0000-9975"},"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"]},{"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":["FR","LB"],"is_corresponding":true,"raw_author_name":"Mireille Haddad","raw_affiliation_strings":["Laboratoire Jacques-Louis Lions, 75005, Paris, France","Sorbonne Universit\u00e9, UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, 75005, Paris, France","Unit\u00e9 de recherche EGFEM, Facult\u00e9 des Sciences, Universit\u00e9 Saint-Joseph, B.P 11-514 Riad El Solh, Beyrouth, 1107 2050, Lebanon"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, 75005, Paris, France","institution_ids":["https://openalex.org/I4210158291"]},{"raw_affiliation_string":"Sorbonne Universit\u00e9, UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"Unit\u00e9 de recherche EGFEM, Facult\u00e9 des Sciences, Universit\u00e9 Saint-Joseph, B.P 11-514 Riad El Solh, Beyrouth, 1107 2050, Lebanon","institution_ids":["https://openalex.org/I184679254"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108767581","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, 75005, Paris, France","Sorbonne Universit\u00e9, UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, 75005, Paris, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, 75005, Paris, France","institution_ids":["https://openalex.org/I4210158291"]},{"raw_affiliation_string":"Sorbonne Universit\u00e9, UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]}]},{"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":["Unit\u00e9 de recherche EGFEM, Facult\u00e9 des Sciences, Universit\u00e9 Saint-Joseph, B.P 11-514 Riad El Solh, Beyrouth, 1107 2050, Lebanon"],"affiliations":[{"raw_affiliation_string":"Unit\u00e9 de recherche EGFEM, Facult\u00e9 des Sciences, Universit\u00e9 Saint-Joseph, B.P 11-514 Riad El Solh, Beyrouth, 1107 2050, 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, 75005, Paris, France","Sorbonne Universit\u00e9, UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, 75005, Paris, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Jacques-Louis Lions, 75005, Paris, France","institution_ids":["https://openalex.org/I4210158291"]},{"raw_affiliation_string":"Sorbonne Universit\u00e9, UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5069040740"],"corresponding_institution_ids":["https://openalex.org/I184679254","https://openalex.org/I39804081","https://openalex.org/I4210158291"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00335149,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"80","issue":"2","first_page":"447","last_page":"467"},"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":0.9951000213623047,"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":0.9951000213623047,"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/T11201","display_name":"Metallurgy and Material Forming","score":0.9916999936103821,"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/T10700","display_name":"Metal Forming Simulation Techniques","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.8930221199989319},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8673163652420044},{"id":"https://openalex.org/keywords/projection-method","display_name":"Projection method","score":0.6497704982757568},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6480346918106079},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6444425582885742},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6094408631324768},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.588725209236145},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.5541577935218811},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5340645909309387},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.513890266418457},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.48799437284469604},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.48546722531318665},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.48318997025489807},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4498891830444336},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42872804403305054},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42532503604888916},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3620244264602661},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.32513898611068726},{"id":"https://openalex.org/keywords/dykstras-projection-algorithm","display_name":"Dykstra's projection algorithm","score":0.27438193559646606},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17631202936172485},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.15957072377204895},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13242018222808838},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06606164574623108}],"concepts":[{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.8930221199989319},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8673163652420044},{"id":"https://openalex.org/C65557600","wikidata":"https://www.wikidata.org/wiki/Q7249451","display_name":"Projection method","level":3,"score":0.6497704982757568},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6480346918106079},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6444425582885742},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6094408631324768},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.588725209236145},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.5541577935218811},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5340645909309387},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.513890266418457},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.48799437284469604},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.48546722531318665},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.48318997025489807},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4498891830444336},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42872804403305054},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42532503604888916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3620244264602661},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.32513898611068726},{"id":"https://openalex.org/C202426404","wikidata":"https://www.wikidata.org/wiki/Q5318686","display_name":"Dykstra's projection algorithm","level":2,"score":0.27438193559646606},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17631202936172485},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.15957072377204895},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13242018222808838},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06606164574623108},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-018-0492-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0492-4","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01470551v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01470551","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":"2017","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01470551v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01470551","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":"2017","raw_type":"Preprints, Working Papers, ..."},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1482145699","https://openalex.org/W1506342804","https://openalex.org/W1548589512","https://openalex.org/W1583399309","https://openalex.org/W1780245888","https://openalex.org/W1973166496","https://openalex.org/W1975464357","https://openalex.org/W1979325210","https://openalex.org/W1985570191","https://openalex.org/W2031753395","https://openalex.org/W2037768520","https://openalex.org/W2045545335","https://openalex.org/W2068543948","https://openalex.org/W2070299075","https://openalex.org/W2070571481","https://openalex.org/W2076077791","https://openalex.org/W2082187902","https://openalex.org/W2084073638","https://openalex.org/W2101560656","https://openalex.org/W2134066908","https://openalex.org/W2140153041","https://openalex.org/W2170651038","https://openalex.org/W2487199094","https://openalex.org/W2577113751","https://openalex.org/W2612499364","https://openalex.org/W2950784252","https://openalex.org/W3098342588","https://openalex.org/W4245816078"],"related_works":["https://openalex.org/W2018702098","https://openalex.org/W3150927006","https://openalex.org/W768539834","https://openalex.org/W2039023896","https://openalex.org/W2154812892","https://openalex.org/W2009858568","https://openalex.org/W2023937487","https://openalex.org/W3144246503","https://openalex.org/W2778061477","https://openalex.org/W2072734046"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
