{"id":"https://openalex.org/W4399739088","doi":"https://doi.org/10.1007/s00211-024-01420-z","title":"Fast solution of incompressible flow problems with two-level pressure approximation","display_name":"Fast solution of incompressible flow problems with two-level pressure approximation","publication_year":2024,"publication_date":"2024-06-17","ids":{"openalex":"https://openalex.org/W4399739088","doi":"https://doi.org/10.1007/s00211-024-01420-z"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-024-01420-z","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00211-024-01420-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-024-01420-z.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00211-024-01420-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062815653","display_name":"Jennifer Pestana","orcid":"https://orcid.org/0000-0003-1527-3178"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Jennifer Pestana","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Strathclyde, Glasgow, G1 1XH, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Strathclyde, Glasgow, G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007116796","display_name":"David J. Silvester","orcid":"https://orcid.org/0000-0002-0652-5444"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"David J. Silvester","raw_affiliation_strings":["Department of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062815653"],"corresponding_institution_ids":["https://openalex.org/I181647926"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08936524,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"156","issue":"4","first_page":"1579","last_page":"1602"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9983000159263611,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9979000091552734,"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/mathematics","display_name":"Mathematics","score":0.8090214729309082},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6603093147277832},{"id":"https://openalex.org/keywords/incompressible-flow","display_name":"Incompressible flow","score":0.5641493797302246},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.531708300113678},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5225828886032104},{"id":"https://openalex.org/keywords/numerical-approximation","display_name":"Numerical approximation","score":0.46285003423690796},{"id":"https://openalex.org/keywords/pressure-correction-method","display_name":"Pressure-correction method","score":0.43513745069503784},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38812145590782166},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37205684185028076},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.27514588832855225},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21622660756111145},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09767311811447144}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8090214729309082},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6603093147277832},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.5641493797302246},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.531708300113678},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5225828886032104},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.46285003423690796},{"id":"https://openalex.org/C21018558","wikidata":"https://www.wikidata.org/wiki/Q7241680","display_name":"Pressure-correction method","level":3,"score":0.43513745069503784},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38812145590782166},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37205684185028076},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.27514588832855225},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21622660756111145},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09767311811447144}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00211-024-01420-z","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00211-024-01420-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-024-01420-z.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/11dc83a6-7bfd-492f-922a-9ce618fa99f4","is_oa":true,"landing_page_url":"https://research.manchester.ac.uk/en/publications/11dc83a6-7bfd-492f-922a-9ce618fa99f4","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pestana, J & Silvester, D 2024, 'Fast solution of incompressible flow problems with two-level pressure approximation', NUMERISCHE MATHEMATIK. https://doi.org/10.1007/s00211-024-01420-z","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/s00211-024-01420-z","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00211-024-01420-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00211-024-01420-z.pdf","source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life in Land","score":0.6000000238418579,"id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G2472360675","display_name":null,"funder_award_id":"EP/W033801/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4399739088.pdf"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W592911714","https://openalex.org/W1598812702","https://openalex.org/W1965216750","https://openalex.org/W2018850201","https://openalex.org/W2024978582","https://openalex.org/W2050206349","https://openalex.org/W2058549403","https://openalex.org/W2087523684","https://openalex.org/W2089933748","https://openalex.org/W2092753238","https://openalex.org/W2094400909","https://openalex.org/W2121613024","https://openalex.org/W2141870784","https://openalex.org/W2176411140","https://openalex.org/W2347487656","https://openalex.org/W2803074521","https://openalex.org/W2805007958","https://openalex.org/W3013273396","https://openalex.org/W3100173375","https://openalex.org/W3206471890","https://openalex.org/W4231405723","https://openalex.org/W4381378946","https://openalex.org/W4383312007"],"related_works":["https://openalex.org/W1596838038","https://openalex.org/W2416979464","https://openalex.org/W2055092591","https://openalex.org/W2328255009","https://openalex.org/W86477321","https://openalex.org/W1669816071","https://openalex.org/W2070976931","https://openalex.org/W2093607043","https://openalex.org/W2039262714","https://openalex.org/W2131115966"],"abstract_inverted_index":{"Abstract":[0],"This":[1,37],"paper":[2],"develops":[3],"efficient":[4,72],"preconditioned":[5],"iterative":[6],"solvers":[7,73,102],"for":[8,74,103,116],"incompressible":[9],"flow":[10],"problems":[11],"discretised":[12],"by":[13,27,51,124],"an":[14],"enriched":[15],"Taylor\u2013Hood":[16,56],"mixed":[17],"approximation,":[18],"in":[19],"which":[20,65],"the":[21,43,46,52,67,75,82,92,110,136],"usual":[22],"pressure":[23,31,44,47,62,88,112,128],"space":[24,48,89],"is":[25,49],"augmented":[26],"a":[28,126],"piecewise":[29,60],"constant":[30,61],"to":[32,99,134],"ensure":[33],"local":[34],"mass":[35,113],"conservation.":[36],"enrichment":[38],"process":[39],"causes":[40],"over-specification":[41],"of":[42,54,71,84,87],"when":[45],"defined":[50],"union":[53],"standard":[55],"basis":[57,63],"functions":[58],"and":[59,69,115],"functions,":[64],"complicates":[66],"design":[68],"implementation":[70],"resulting":[76],"linear":[77],"systems.":[78],"We":[79],"first":[80],"describe":[81],"impact":[83],"this":[85],"choice":[86],"specification":[90],"on":[91,109],"matrices":[93],"involved.":[94],"Next,":[95],"we":[96],"show":[97],"how":[98],"recover":[100],"effective":[101],"Stokes":[104],"problems,":[105],"with":[106],"preconditioners":[107],"based":[108],"singular":[111],"matrix,":[114],"Oseen":[117],"systems":[118],"arising":[119],"from":[120],"linearised":[121],"Navier\u2013Stokes":[122],"equations,":[123],"using":[125],"two-stage":[127],"convection\u2013diffusion":[129],"strategy.":[130],"The":[131],"codes":[132],"used":[133],"generate":[135],"numerical":[137],"results":[138],"are":[139],"available":[140],"online.":[141]},"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
