{"id":"https://openalex.org/W2956153739","doi":"https://doi.org/10.1007/s11075-019-00757-z","title":"Adaptive solution of linear systems of equations based on a posteriori error estimators","display_name":"Adaptive solution of linear systems of equations based on a posteriori error estimators","publication_year":2019,"publication_date":"2019-07-05","ids":{"openalex":"https://openalex.org/W2956153739","doi":"https://doi.org/10.1007/s11075-019-00757-z","mag":"2956153739"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-019-00757-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00757-z","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://inria.hal.science/hal-02425391","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055504450","display_name":"Ani Anciaux\u2010Sedrakian","orcid":"https://orcid.org/0000-0001-6084-5652"},"institutions":[{"id":"https://openalex.org/I265217849","display_name":"IFP \u00c9nergies nouvelles","ror":"https://ror.org/03gcbhc33","country_code":"FR","type":"facility","lineage":["https://openalex.org/I265217849"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"A. Anciaux-Sedrakian","raw_affiliation_strings":["IFP Energies Nouvelles, 1-4 Avenue de Bois-Pr\u00e9au, 92852, Rueil-Malmaison, France","IFPEN - IFP Energies nouvelles (1-4 avenue de Bois Pr\u00e9au\r\n92500 Rueil-Malmaison - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IFP Energies Nouvelles, 1-4 Avenue de Bois-Pr\u00e9au, 92852, Rueil-Malmaison, France","institution_ids":["https://openalex.org/I265217849"]},{"raw_affiliation_string":"IFPEN - IFP Energies nouvelles (1-4 avenue de Bois Pr\u00e9au\r\n92500 Rueil-Malmaison - France)","institution_ids":["https://openalex.org/I265217849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040521001","display_name":"Laura Grigori","orcid":"https://orcid.org/0000-0002-5880-1076"},"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/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"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":"L. Grigori","raw_affiliation_strings":["INRIA Paris, Alpines, and Sorbonne Universit\u00e9, CNRS UMR 7598, Laboratoire Jacques-Louis Lions, Paris, France","ALPINES - Algorithms and parallel tools for integrated numerical simulations (48 Rue Barrault, 75013 Paris - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Paris, Alpines, and Sorbonne Universit\u00e9, CNRS UMR 7598, Laboratoire Jacques-Louis Lions, Paris, France","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I1326498283","https://openalex.org/I39804081","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"ALPINES - Algorithms and parallel tools for integrated numerical simulations (48 Rue Barrault, 75013 Paris - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036637589","display_name":"Zakariae Jorti","orcid":"https://orcid.org/0000-0003-4471-6548"},"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/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I265217849","display_name":"IFP \u00c9nergies nouvelles","ror":"https://ror.org/03gcbhc33","country_code":"FR","type":"facility","lineage":["https://openalex.org/I265217849"]},{"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":"Z. Jorti","raw_affiliation_strings":["IFP Energies Nouvelles, 1-4 Avenue de Bois-Pr\u00e9au, 92852, Rueil-Malmaison, France","INRIA Paris, Alpines, and Sorbonne Universit\u00e9, CNRS UMR 7598, Laboratoire Jacques-Louis Lions, Paris, France","IFPEN - IFP Energies nouvelles (1-4 avenue de Bois Pr\u00e9au\r\n92500 Rueil-Malmaison - France)","ALPINES - Algorithms and parallel tools for integrated numerical simulations (48 Rue Barrault, 75013 Paris - France)"],"raw_orcid":"https://orcid.org/0000-0003-4471-6548","affiliations":[{"raw_affiliation_string":"IFP Energies Nouvelles, 1-4 Avenue de Bois-Pr\u00e9au, 92852, Rueil-Malmaison, France","institution_ids":["https://openalex.org/I265217849"]},{"raw_affiliation_string":"INRIA Paris, Alpines, and Sorbonne Universit\u00e9, CNRS UMR 7598, Laboratoire Jacques-Louis Lions, Paris, France","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I1326498283","https://openalex.org/I39804081","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IFPEN - IFP Energies nouvelles (1-4 avenue de Bois Pr\u00e9au\r\n92500 Rueil-Malmaison - France)","institution_ids":["https://openalex.org/I265217849"]},{"raw_affiliation_string":"ALPINES - Algorithms and parallel tools for integrated numerical simulations (48 Rue Barrault, 75013 Paris - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015841136","display_name":"Jan Pape\u017e","orcid":"https://orcid.org/0009-0003-8335-3302"},"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/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"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":"J. Pape\u017e","raw_affiliation_strings":["INRIA Paris, Alpines, and Sorbonne Universit\u00e9, CNRS UMR 7598, Laboratoire Jacques-Louis Lions, Paris, France","ALPINES - Algorithms and parallel tools for integrated numerical simulations (48 Rue Barrault, 75013 Paris - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Paris, Alpines, and Sorbonne Universit\u00e9, CNRS UMR 7598, Laboratoire Jacques-Louis Lions, Paris, France","institution_ids":["https://openalex.org/I4210158291","https://openalex.org/I1326498283","https://openalex.org/I39804081","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"ALPINES - Algorithms and parallel tools for integrated numerical simulations (48 Rue Barrault, 75013 Paris - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090332530","display_name":"Soleiman Yousef","orcid":"https://orcid.org/0000-0003-2458-6264"},"institutions":[{"id":"https://openalex.org/I265217849","display_name":"IFP \u00c9nergies nouvelles","ror":"https://ror.org/03gcbhc33","country_code":"FR","type":"facility","lineage":["https://openalex.org/I265217849"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. Yousef","raw_affiliation_strings":["IFP Energies Nouvelles, 1-4 Avenue de Bois-Pr\u00e9au, 92852, Rueil-Malmaison, France","IFPEN - IFP Energies nouvelles (1-4 avenue de Bois Pr\u00e9au\r\n92500 Rueil-Malmaison - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IFP Energies Nouvelles, 1-4 Avenue de Bois-Pr\u00e9au, 92852, Rueil-Malmaison, France","institution_ids":["https://openalex.org/I265217849"]},{"raw_affiliation_string":"IFPEN - IFP Energies nouvelles (1-4 avenue de Bois Pr\u00e9au\r\n92500 Rueil-Malmaison - France)","institution_ids":["https://openalex.org/I265217849"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5055504450"],"corresponding_institution_ids":["https://openalex.org/I265217849"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9706,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73136186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"84","issue":"1","first_page":"331","last_page":"364"},"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":0.9995999932289124,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9983000159263611,"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/preconditioner","display_name":"Preconditioner","score":0.7970188856124878},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7430425882339478},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7013933658599854},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6494320631027222},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5904727578163147},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5596969127655029},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5573357343673706},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.538600742816925},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.5031911730766296},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4741467833518982},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4346054196357727},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4176059067249298},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27682170271873474},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12231755256652832},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12230336666107178}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.7970188856124878},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7430425882339478},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7013933658599854},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6494320631027222},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5904727578163147},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5596969127655029},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5573357343673706},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.538600742816925},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5031911730766296},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4741467833518982},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4346054196357727},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4176059067249298},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27682170271873474},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12231755256652832},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12230336666107178},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-019-00757-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00757-z","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-02425391v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02425391","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":"Numerical Algorithms, 2020, 84, pp.331-364. &#x27E8;10.1007/s11075-019-00757-z&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02425391v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02425391","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":"Numerical Algorithms, 2020, 84, pp.331-364. &#x27E8;10.1007/s11075-019-00757-z&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W145228056","https://openalex.org/W1506342804","https://openalex.org/W1980119950","https://openalex.org/W1988357492","https://openalex.org/W1989594010","https://openalex.org/W1993064848","https://openalex.org/W2007289139","https://openalex.org/W2021587088","https://openalex.org/W2023567863","https://openalex.org/W2038393809","https://openalex.org/W2039924562","https://openalex.org/W2051596395","https://openalex.org/W2059920071","https://openalex.org/W2071036364","https://openalex.org/W2083027300","https://openalex.org/W2085955208","https://openalex.org/W2086668773","https://openalex.org/W2104126767","https://openalex.org/W2596343147","https://openalex.org/W2622299093"],"related_works":["https://openalex.org/W4285325102","https://openalex.org/W1575783825","https://openalex.org/W2096346341","https://openalex.org/W2525981419","https://openalex.org/W3139004046","https://openalex.org/W2890462359","https://openalex.org/W4289542714","https://openalex.org/W2358739842","https://openalex.org/W4318200600","https://openalex.org/W2104711345"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"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"}
