{"id":"https://openalex.org/W4394970285","doi":"https://doi.org/10.1090/mcom/4049","title":"Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure","display_name":"Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure","publication_year":2024,"publication_date":"2024-11-13","ids":{"openalex":"https://openalex.org/W4394970285","doi":"https://doi.org/10.1090/mcom/4049"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/4049","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4049","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","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/2404.12732","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083119836","display_name":"Lorenzo Botti","orcid":"https://orcid.org/0000-0002-0511-9022"},"institutions":[{"id":"https://openalex.org/I11039511","display_name":"University of Bergamo","ror":"https://ror.org/02mbd5571","country_code":"IT","type":"education","lineage":["https://openalex.org/I11039511"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Lorenzo Botti","raw_affiliation_strings":["UniBg - Universit\u00e0 degli Studi di Bergamo = University of Bergamo (via Salvecchio 19 - 24129 Bergamo - Italy)"],"affiliations":[{"raw_affiliation_string":"UniBg - Universit\u00e0 degli Studi di Bergamo = University of Bergamo (via Salvecchio 19 - 24129 Bergamo - Italy)","institution_ids":["https://openalex.org/I11039511"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055379840","display_name":"Michele Botti","orcid":"https://orcid.org/0000-0003-1171-2874"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michele Botti","raw_affiliation_strings":["MOX - Modeling and Scientific Computing [Milano] (Department of Mathematics 'Francesco Brioschi', Piazza Leonardo da Vinci, 32, 20133 Milano - Italy)"],"affiliations":[{"raw_affiliation_string":"MOX - Modeling and Scientific Computing [Milano] (Department of Mathematics 'Francesco Brioschi', Piazza Leonardo da Vinci, 32, 20133 Milano - Italy)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037714004","display_name":"Daniele A. Di Pietro","orcid":"https://orcid.org/0000-0003-0959-8830"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniele Di Pietro","raw_affiliation_strings":["IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)"],"affiliations":[{"raw_affiliation_string":"IMAG - Institut Montpelli\u00e9rain Alexander Grothendieck (UMR CNRS 5149 - Universit\u00e9 Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France - France)","institution_ids":["https://openalex.org/I19894307","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006722300","display_name":"Francesco Carlo Massa","orcid":"https://orcid.org/0000-0002-1925-4938"},"institutions":[{"id":"https://openalex.org/I11039511","display_name":"University of Bergamo","ror":"https://ror.org/02mbd5571","country_code":"IT","type":"education","lineage":["https://openalex.org/I11039511"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Massa","raw_affiliation_strings":["UniBg - Universit\u00e0 degli Studi di Bergamo = University of Bergamo (via Salvecchio 19 - 24129 Bergamo - Italy)"],"affiliations":[{"raw_affiliation_string":"UniBg - Universit\u00e0 degli Studi di Bergamo = University of Bergamo (via Salvecchio 19 - 24129 Bergamo - Italy)","institution_ids":["https://openalex.org/I11039511"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083119836"],"corresponding_institution_ids":["https://openalex.org/I11039511"],"apc_list":null,"apc_paid":null,"fwci":1.5291,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78207585,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"95","issue":"357","first_page":"1","last_page":"28"},"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":0.9990000128746033,"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":0.9990000128746033,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9984999895095825,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/robustness","display_name":"Robustness (evolution)","score":0.8303806781768799},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7810745239257812},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.742643415927887},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.521312415599823},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5169064998626709},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5106568932533264},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4854172170162201},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37383565306663513},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32700562477111816},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.26235342025756836},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23037469387054443},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.166717529296875},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.05637151002883911}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.8303806781768799},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7810745239257812},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.742643415927887},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.521312415599823},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5169064998626709},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5106568932533264},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4854172170162201},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37383565306663513},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32700562477111816},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.26235342025756836},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23037469387054443},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.166717529296875},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.05637151002883911},{"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/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},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1090/mcom/4049","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4049","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2404.12732","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.12732","pdf_url":"https://arxiv.org/pdf/2404.12732","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-04552438v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04552438","pdf_url":"https://hal.science/hal-04552438v1/document","source":{"id":"https://openalex.org/S4406922454","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"2024","raw_type":"Preprints, Working Papers, ..."},{"id":"pmh:oai:aisberg.unibg.it:10446/295745","is_oa":false,"landing_page_url":"https://hdl.handle.net/10446/295745","pdf_url":null,"source":{"id":"https://openalex.org/S4377196347","display_name":"Aisberg (University of Bergamo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11039511","host_organization_name":"University of Bergamo","host_organization_lineage":["https://openalex.org/I11039511"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:re.public.polimi.it:11311/1308949","is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1308949","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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"},{"id":"doi:10.48550/arxiv.2404.12732","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2404.12732","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2404.12732","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.12732","pdf_url":"https://arxiv.org/pdf/2404.12732","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[{"id":"https://openalex.org/G5377794632","display_name":null,"funder_award_id":"101115663","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G628434919","display_name":null,"funder_award_id":"101115663 (NEMESIS)","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4394970285.pdf"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W592911714","https://openalex.org/W628726389","https://openalex.org/W1009522003","https://openalex.org/W2008008473","https://openalex.org/W2008192231","https://openalex.org/W2022741557","https://openalex.org/W2044843512","https://openalex.org/W2051751432","https://openalex.org/W2070586768","https://openalex.org/W2143430600","https://openalex.org/W2157023312","https://openalex.org/W2160623568","https://openalex.org/W2165984379","https://openalex.org/W2206365535","https://openalex.org/W2215011577","https://openalex.org/W2340656590","https://openalex.org/W2460533716","https://openalex.org/W2464997744","https://openalex.org/W2554006986","https://openalex.org/W2592623476","https://openalex.org/W2609684957","https://openalex.org/W2611065617","https://openalex.org/W2795056660","https://openalex.org/W2888262565","https://openalex.org/W2911387076","https://openalex.org/W2950034650","https://openalex.org/W2962924286","https://openalex.org/W2971074505","https://openalex.org/W2995639256","https://openalex.org/W3005317752","https://openalex.org/W3008757279","https://openalex.org/W3013208380","https://openalex.org/W3040720126","https://openalex.org/W3205564358","https://openalex.org/W4225495517","https://openalex.org/W4225678565","https://openalex.org/W4280541304","https://openalex.org/W4317545253","https://openalex.org/W4390784249","https://openalex.org/W4399172437"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2793786119","https://openalex.org/W1507702947","https://openalex.org/W2732220824"],"abstract_inverted_index":{"In":[0],"this":[1],"work":[2],"we":[3,27],"study":[4],"the":[5,24,44,50,55,60,65,68,84,93],"stability,":[6],"convergence,":[7],"and":[8,19,46,78,88],"pressure-robustness":[9],"of":[10,31,67,76,92],"discretization":[11],"methods":[12],"for":[13],"incompressible":[14],"flows":[15],"with":[16],"hybrid":[17],"velocity":[18],"pressure.":[20],"Specifically,":[21],"focusing":[22],"on":[23],"Stokes":[25],"problem,":[26],"identify":[28,54],"a":[29],"set":[30],"assumptions":[32],"that":[33,81],"yield":[34],"inf-sup":[35],"stability":[36],"as":[37,39],"well":[38],"error":[40],"estimates":[41],"which":[42,59],"distinguish":[43],"velocity-":[45],"pressure-related":[47,61],"contributions":[48,62],"to":[49,72],"error.":[51],"We":[52],"additionally":[53],"key":[56],"properties":[57,95],"under":[58],"vanish":[63],"in":[64],"estimate":[66],"velocity,":[69],"thus":[70],"leading":[71],"pressure-robustness.":[73],"Several":[74],"examples":[75],"existing":[77],"new":[79],"schemes":[80],"fit":[82],"into":[83],"framework":[85],"are":[86],"exhibited,":[87],"extensive":[89],"numerical":[90],"validation":[91],"theoretical":[94],"is":[96],"provided.":[97]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2024-04-20T00:00:00"}
