{"id":"https://openalex.org/W3157258814","doi":"https://doi.org/10.1007/s40314-021-01647-8","title":"A posteriori error estimates for the Brinkman\u2013Darcy\u2013Forchheimer problem","display_name":"A posteriori error estimates for the Brinkman\u2013Darcy\u2013Forchheimer problem","publication_year":2021,"publication_date":"2021-09-29","ids":{"openalex":"https://openalex.org/W3157258814","doi":"https://doi.org/10.1007/s40314-021-01647-8","mag":"3157258814"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-021-01647-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01647-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2104.13752","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":true,"raw_author_name":"Toni Sayah","raw_affiliation_strings":["Laboratoire de \u201cMath\u00e9matiques et applications\u201d, Unit\u00e9 de recherche \u201cMath\u00e9matoqies et Mod\u00e9lisation\u201d, CAR, Facult\u00e9 des sciences, Universit\u00e9 Saint-Joseph, Beirut, Lebanon","Saint-Joseph University"],"affiliations":[{"raw_affiliation_string":"Laboratoire de \u201cMath\u00e9matiques et applications\u201d, Unit\u00e9 de recherche \u201cMath\u00e9matoqies et Mod\u00e9lisation\u201d, CAR, Facult\u00e9 des sciences, Universit\u00e9 Saint-Joseph, Beirut, Lebanon","institution_ids":["https://openalex.org/I184679254"]},{"raw_affiliation_string":"Saint-Joseph University","institution_ids":["https://openalex.org/I184679254"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033577472"],"corresponding_institution_ids":["https://openalex.org/I184679254"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0586101,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"7","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":0.9998000264167786,"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":0.9998000264167786,"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/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.7604050636291504},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.7542486190795898},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6856545209884644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5937420129776001},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5854943990707397},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5839692950248718},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.43250223994255066},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.41692787408828735},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41629207134246826},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.19548383355140686},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1517833173274994},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06095004081726074},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05156061053276062}],"concepts":[{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.7604050636291504},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.7542486190795898},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6856545209884644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5937420129776001},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5854943990707397},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5839692950248718},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.43250223994255066},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.41692787408828735},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41629207134246826},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.19548383355140686},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1517833173274994},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06095004081726074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05156061053276062},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s40314-021-01647-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01647-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2104.13752","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.13752","pdf_url":"https://arxiv.org/pdf/2104.13752","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"doi:10.48550/arxiv.2104.13752","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2104.13752","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:3157258814","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2104.13752","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.13752","pdf_url":"https://arxiv.org/pdf/2104.13752","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W66378506","https://openalex.org/W253824085","https://openalex.org/W1601728065","https://openalex.org/W1665371634","https://openalex.org/W1972684149","https://openalex.org/W1989091039","https://openalex.org/W1989594010","https://openalex.org/W1995404822","https://openalex.org/W1998979120","https://openalex.org/W2004516437","https://openalex.org/W2005436751","https://openalex.org/W2007289139","https://openalex.org/W2010573661","https://openalex.org/W2018233090","https://openalex.org/W2033324757","https://openalex.org/W2041290600","https://openalex.org/W2049914863","https://openalex.org/W2052183448","https://openalex.org/W2053655976","https://openalex.org/W2054263136","https://openalex.org/W2071036364","https://openalex.org/W2071632315","https://openalex.org/W2072535043","https://openalex.org/W2081212234","https://openalex.org/W2082187902","https://openalex.org/W2084554660","https://openalex.org/W2093568336","https://openalex.org/W2101743932","https://openalex.org/W2125276784","https://openalex.org/W2148279431","https://openalex.org/W2262483978","https://openalex.org/W2467023860","https://openalex.org/W2591352340","https://openalex.org/W2737380452","https://openalex.org/W2788867406","https://openalex.org/W2803263400","https://openalex.org/W2907468423","https://openalex.org/W2955861471","https://openalex.org/W3005734045","https://openalex.org/W3029194446","https://openalex.org/W3185639168","https://openalex.org/W4252104256"],"related_works":["https://openalex.org/W3093292670","https://openalex.org/W2181678846","https://openalex.org/W2026260273","https://openalex.org/W1982094669","https://openalex.org/W2770822561","https://openalex.org/W2556176689","https://openalex.org/W2189142444","https://openalex.org/W2034964948","https://openalex.org/W2992612216","https://openalex.org/W3140674143","https://openalex.org/W2995453962","https://openalex.org/W113182603","https://openalex.org/W1951891393","https://openalex.org/W1996795707","https://openalex.org/W2958429172","https://openalex.org/W2137365186","https://openalex.org/W3092151475","https://openalex.org/W2809051261","https://openalex.org/W1958877834","https://openalex.org/W2477313398"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
