{"id":"https://openalex.org/W2760263599","doi":"https://doi.org/10.1137/16m1085437","title":"Constraint Interface Preconditioning for the Incompressible Stokes Equations","display_name":"Constraint Interface Preconditioning for the Incompressible Stokes Equations","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2760263599","doi":"https://doi.org/10.1137/16m1085437","mag":"2760263599"},"language":"en","primary_location":{"id":"doi:10.1137/16m1085437","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1085437","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.birmingham.ac.uk/en/publications/c171c0fc-3072-4229-9aff-4344ab36f328","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111847460","display_name":"Daniel Loghin","orcid":null},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Daniel Loghin","raw_affiliation_strings":["School of Mathematics, University of Birmingham, Birmingham B15 2TT, United Kingdom"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Birmingham, Birmingham B15 2TT, United Kingdom","institution_ids":["https://openalex.org/I79619799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111847460"],"corresponding_institution_ids":["https://openalex.org/I79619799"],"apc_list":null,"apc_paid":null,"fwci":0.2401,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54878754,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"55","issue":"5","first_page":"2286","last_page":"2311"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.998199999332428,"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":0.9954000115394592,"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/mathematics","display_name":"Mathematics","score":0.7506843209266663},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.6676874160766602},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5868819952011108},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5523902177810669},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5114044547080994},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.43422114849090576},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.43311044573783875},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4162994921207428},{"id":"https://openalex.org/keywords/navier\u2013stokes-equations","display_name":"Navier\u2013Stokes equations","score":0.4103381037712097},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.39459002017974854},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.381651371717453},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34608426690101624},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.20007386803627014},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18987774848937988}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7506843209266663},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.6676874160766602},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5868819952011108},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5523902177810669},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5114044547080994},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.43422114849090576},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.43311044573783875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4162994921207428},{"id":"https://openalex.org/C2781278361","wikidata":"https://www.wikidata.org/wiki/Q201321","display_name":"Navier\u2013Stokes equations","level":3,"score":0.4103381037712097},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.39459002017974854},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.381651371717453},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34608426690101624},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.20007386803627014},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18987774848937988},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/16m1085437","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1085437","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:Publications/c171c0fc-3072-4229-9aff-4344ab36f328","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/c171c0fc-3072-4229-9aff-4344ab36f328","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/c171c0fc-3072-4229-9aff-4344ab36f328","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"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":"Loghin, D 2017, 'Constraint interface preconditioning for the incompressible Stokes equations', SIAM Journal on Numerical Analysis, vol. 55, no. 5, pp. 2286\u20132311. https://doi.org/10.1137/16M1085437","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/c171c0fc-3072-4229-9aff-4344ab36f328","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/portal/en/publications/constraint-interface-preconditioning-for-the-incompressible-stokes-equations(c171c0fc-3072-4229-9aff-4344ab36f328).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/c171c0fc-3072-4229-9aff-4344ab36f328","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/c171c0fc-3072-4229-9aff-4344ab36f328","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"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":"Loghin, D 2017, 'Constraint interface preconditioning for the incompressible Stokes equations', SIAM Journal on Numerical Analysis, vol. 55, no. 5, pp. 2286\u20132311. https://doi.org/10.1137/16M1085437","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1560263223","https://openalex.org/W1568938378","https://openalex.org/W1589236075","https://openalex.org/W1970741819","https://openalex.org/W1984334096","https://openalex.org/W1985670461","https://openalex.org/W1997091237","https://openalex.org/W1997999015","https://openalex.org/W2002200785","https://openalex.org/W2008979939","https://openalex.org/W2015751053","https://openalex.org/W2017710275","https://openalex.org/W2018926979","https://openalex.org/W2022107873","https://openalex.org/W2022615414","https://openalex.org/W2026639176","https://openalex.org/W2037666071","https://openalex.org/W2041523977","https://openalex.org/W2041876368","https://openalex.org/W2044543226","https://openalex.org/W2050206349","https://openalex.org/W2057602562","https://openalex.org/W2069403372","https://openalex.org/W2070419067","https://openalex.org/W2080164618","https://openalex.org/W2085167268","https://openalex.org/W2088975304","https://openalex.org/W2093593892","https://openalex.org/W2099296901","https://openalex.org/W2111722803","https://openalex.org/W2121753912","https://openalex.org/W2140506139","https://openalex.org/W2141870784","https://openalex.org/W2145718200","https://openalex.org/W2152023749","https://openalex.org/W2477040106","https://openalex.org/W2487882368","https://openalex.org/W2597583775","https://openalex.org/W2775708327"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2079401649","https://openalex.org/W2028455732","https://openalex.org/W4313703117","https://openalex.org/W1993738197","https://openalex.org/W2087496541","https://openalex.org/W2108615321","https://openalex.org/W1879558396","https://openalex.org/W2025125297"],"abstract_inverted_index":{"We":[0,18,84,152],"introduce":[1],"a":[2,20,33,52,107,121,144,163],"novel":[3],"substructuring":[4],"approach":[5,50],"for":[6,12,32,93,97,162],"solving":[7],"the":[8,13,24,56,74,81,86,89,94,98,117,129,137,148,154],"incompressible":[9],"Stokes":[10,37],"equations":[11],"case":[14],"of":[15,23,78,88,109,112,136,150,165],"enclosed":[16],"flows.":[17],"employ":[19],"simple":[21],"distribution":[22],"global":[25],"pressure":[26],"constraint":[27,113],"to":[28,73,104,119,143],"subdomains":[29],"which":[30,43,62,70],"allows":[31,102],"natural":[34],"decomposition":[35],"into":[36],"subdomain":[38],"problems":[39,160],"with":[40],"Dirichlet":[41],"data":[42],"are":[44],"well-posed":[45],"and":[46,65,69,96,161,168],"inf-sup":[47],"stable.":[48],"This":[49,101],"yields":[51],"saddle-point":[53],"problem":[54],"on":[55,67,147,156],"interface":[57,75,110],"$\\Gamma$":[58],"involving":[59],"an":[60],"operator":[61],"is":[63,71],"continuous":[64,95],"coercive":[66],"$H^{1/2}(\\Gamma)$":[68],"restricted":[72],"trace":[76],"space":[77],"functions":[79],"satisfying":[80],"incompressibility":[82],"constraint.":[83],"derive":[85],"form":[87],"constraints":[90],"explicitly,":[91],"both":[92],"discrete":[99],"case.":[100],"us":[103],"design":[105],"directly":[106],"class":[108],"preconditioners":[111],"type,":[114],"thus":[115],"avoiding":[116],"need":[118],"formulate":[120],"coarse":[122],"level":[123],"problem.":[124],"Our":[125],"analysis":[126],"indicates":[127],"that":[128],"resulting":[130],"solution":[131],"method":[132],"has":[133],"performance":[134],"independent":[135],"mesh-size,":[138],"while":[139],"numerical":[140],"results":[141],"point":[142],"mild":[145],"dependence":[146],"number":[149],"subdomains.":[151],"illustrate":[153],"technique":[155],"some":[157],"standard":[158],"test":[159],"range":[164],"domains,":[166],"meshes,":[167],"decompositions.":[169]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}