{"id":"https://openalex.org/W7125797066","doi":"https://doi.org/10.1016/j.jcp.2026.114709","title":"Numerical solution of the unsteady Brinkman equations in the framework of H(div)-conforming finite element methods","display_name":"Numerical solution of the unsteady Brinkman equations in the framework of H(div)-conforming finite element methods","publication_year":2026,"publication_date":"2026-01-27","ids":{"openalex":"https://openalex.org/W7125797066","doi":"https://doi.org/10.1016/j.jcp.2026.114709"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcp.2026.114709","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jcp.2026.114709","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.jcp.2026.114709","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066105595","display_name":"Costanza Aric\u00f2","orcid":"https://orcid.org/0000-0001-7173-0981"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Costanza Aric\u00f2","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7173-0981","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123915185","display_name":"Rainer Helmig","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rainer Helmig","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2601-5377","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5008433865","display_name":"Ivan Yotov","orcid":"https://orcid.org/0000-0002-5318-1090"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ivan Yotov","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5318-1090","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":{"value":3750,"currency":"USD","value_usd":3750},"fwci":11.5122,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.95372293,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"553","issue":null,"first_page":"114709","last_page":"114709"},"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":0.18539999425411224,"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":0.18539999425411224,"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":0.12919999659061432,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.11699999868869781,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/finite-element-method","display_name":"Finite element method","score":0.6330999732017517},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.38280001282691956},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.3603000044822693},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.36010000109672546},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.3433000147342682},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.3407999873161316},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.311599999666214}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6330999732017517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.527400016784668},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5048999786376953},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49939998984336853},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.38280001282691956},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.3603000044822693},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.36010000109672546},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.3433000147342682},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.3407999873161316},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31619998812675476},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.311599999666214},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.27469998598098755},{"id":"https://openalex.org/C177605945","wikidata":"https://www.wikidata.org/wiki/Q11007230","display_name":"Smoothed finite element method","level":5,"score":0.27469998598098755},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.2669999897480011},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.2646999955177307},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.25529998540878296},{"id":"https://openalex.org/C2988766672","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference scheme","level":2,"score":0.2533000111579895}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.jcp.2026.114709","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jcp.2026.114709","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"},{"id":"pmh:oai:iris.unipa.it:10447/700493","is_oa":true,"landing_page_url":"https://hdl.handle.net/10447/700493","pdf_url":null,"source":{"id":"https://openalex.org/S4377196289","display_name":"IRIS UniPA (University of Palermo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I900890020","host_organization_name":"University of Palermo","host_organization_lineage":["https://openalex.org/I900890020"],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1016/j.jcp.2026.114709","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jcp.2026.114709","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1202298415","display_name":null,"funder_award_id":"EXC 2075\\u2013390740016","funder_id":"https://openalex.org/F4320325850","funder_display_name":"Universit\u00e4t Stuttgart"},{"id":"https://openalex.org/G2125778048","display_name":"SFB 1313: Grenzfl\u00e4chenbeeinflusste Mehrfeldprozesse in por\u00f6sen Medien  Str\u00f6mung, Transport und Deformation","funder_award_id":"327154368","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5530584620","display_name":null,"funder_award_id":"DMS-2410686","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320325850","display_name":"Universit\u00e4t Stuttgart","ror":"https://ror.org/04vnq7t77"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W592911714","https://openalex.org/W1079293919","https://openalex.org/W1136866292","https://openalex.org/W1966405458","https://openalex.org/W1967282533","https://openalex.org/W1970533383","https://openalex.org/W1974026751","https://openalex.org/W1979565657","https://openalex.org/W1985207620","https://openalex.org/W1990165771","https://openalex.org/W1992676553","https://openalex.org/W1992753787","https://openalex.org/W2000068428","https://openalex.org/W2001118081","https://openalex.org/W2001481387","https://openalex.org/W2008522154","https://openalex.org/W2008844677","https://openalex.org/W2010945250","https://openalex.org/W2020862018","https://openalex.org/W2022137026","https://openalex.org/W2024506048","https://openalex.org/W2027509489","https://openalex.org/W2027766347","https://openalex.org/W2029215766","https://openalex.org/W2035127243","https://openalex.org/W2041589227","https://openalex.org/W2048327685","https://openalex.org/W2052683789","https://openalex.org/W2063449610","https://openalex.org/W2067802451","https://openalex.org/W2074989358","https://openalex.org/W2077661108","https://openalex.org/W2087891891","https://openalex.org/W2099150268","https://openalex.org/W2113267855","https://openalex.org/W2118922968","https://openalex.org/W2120461406","https://openalex.org/W2124866833","https://openalex.org/W2155050433","https://openalex.org/W2166989932","https://openalex.org/W2168629287","https://openalex.org/W2316118679","https://openalex.org/W2562489441","https://openalex.org/W2911731911","https://openalex.org/W2953902654","https://openalex.org/W2979305016","https://openalex.org/W3011888513","https://openalex.org/W3024141654","https://openalex.org/W3036071247","https://openalex.org/W3095194496","https://openalex.org/W4226081348","https://openalex.org/W4292079189","https://openalex.org/W4311128839","https://openalex.org/W4388898492","https://openalex.org/W4391650214","https://openalex.org/W4404704013","https://openalex.org/W4405099331"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2026-01-28T00:00:00"}