{"id":"https://openalex.org/W837922515","doi":"https://doi.org/10.1137/140983574","title":"A Stabilized Cut Finite Element Method for the Three Field Stokes Problem","display_name":"A Stabilized Cut Finite Element Method for the Three Field Stokes Problem","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W837922515","doi":"https://doi.org/10.1137/140983574","mag":"837922515"},"language":"en","primary_location":{"id":"doi:10.1137/140983574","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140983574","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011409848","display_name":"Erik Burman","orcid":"https://orcid.org/0000-0003-4287-7241"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Erik Burman","raw_affiliation_strings":["Department of Mathematics, University College London, Gower Street, London WC1E 6BT"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College London, Gower Street, London WC1E 6BT","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083587846","display_name":"Susanne Claus","orcid":"https://orcid.org/0000-0001-9014-5278"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Susanne Claus","raw_affiliation_strings":["Department of Mathematics, University College London, Gower Street, London WC1E 6BT"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College London, Gower Street, London WC1E 6BT","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026054273","display_name":"Andr\u00e9 Massing","orcid":"https://orcid.org/0000-0003-0803-9041"},"institutions":[{"id":"https://openalex.org/I2799829267","display_name":"Simula Research Laboratory","ror":"https://ror.org/00vn06n10","country_code":"NO","type":"facility","lineage":["https://openalex.org/I2799829267"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Massing","raw_affiliation_strings":["Simula Research Laboratory, P.O. Box 134, 1325 Lysaker"],"affiliations":[{"raw_affiliation_string":"Simula Research Laboratory, P.O. Box 134, 1325 Lysaker","institution_ids":["https://openalex.org/I2799829267"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011409848"],"corresponding_institution_ids":["https://openalex.org/I45129253"],"apc_list":null,"apc_paid":null,"fwci":3.3502,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.90772115,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"37","issue":"4","first_page":"A1705","last_page":"A1726"},"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":1.0,"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":1.0,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9991000294685364,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8651623725891113},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6927398443222046},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6195144057273865},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6127575635910034},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6120352745056152},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.5779367089271545},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5712432265281677},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5160560011863708},{"id":"https://openalex.org/keywords/fictitious-domain-method","display_name":"Fictitious domain method","score":0.5109959840774536},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.47755369544029236},{"id":"https://openalex.org/keywords/mixed-boundary-condition","display_name":"Mixed boundary condition","score":0.46938416361808777},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.413329154253006},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4116891324520111},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07022351026535034}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8651623725891113},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6927398443222046},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6195144057273865},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6127575635910034},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6120352745056152},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.5779367089271545},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5712432265281677},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5160560011863708},{"id":"https://openalex.org/C119741493","wikidata":"https://www.wikidata.org/wiki/Q5446587","display_name":"Fictitious domain method","level":3,"score":0.5109959840774536},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.47755369544029236},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.46938416361808777},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.413329154253006},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4116891324520111},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07022351026535034},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/140983574","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140983574","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5299999713897705,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1215260848","display_name":"Computational methods for multiphysics interface problems","funder_award_id":"EP/J002313/2","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7743258531","display_name":null,"funder_award_id":"EP/J002313/2","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W76084779","https://openalex.org/W628726389","https://openalex.org/W1488877410","https://openalex.org/W1572985915","https://openalex.org/W1601728065","https://openalex.org/W1981662198","https://openalex.org/W1987247705","https://openalex.org/W1990603227","https://openalex.org/W1994089954","https://openalex.org/W1999506541","https://openalex.org/W2003387754","https://openalex.org/W2015418516","https://openalex.org/W2020152794","https://openalex.org/W2040896717","https://openalex.org/W2068543868","https://openalex.org/W2079423956","https://openalex.org/W2085949904","https://openalex.org/W2086306254","https://openalex.org/W2094134692","https://openalex.org/W2122601550","https://openalex.org/W2124866833","https://openalex.org/W2128095813","https://openalex.org/W2150953471","https://openalex.org/W2152632340","https://openalex.org/W2158817331","https://openalex.org/W2176375880","https://openalex.org/W2397132263","https://openalex.org/W4236938392"],"related_works":["https://openalex.org/W1514481392","https://openalex.org/W4299860049","https://openalex.org/W1737185509","https://openalex.org/W3188476162","https://openalex.org/W2020502833","https://openalex.org/W4322770021","https://openalex.org/W4313957665","https://openalex.org/W2100405323","https://openalex.org/W2059354999","https://openalex.org/W2166480568"],"abstract_inverted_index":{"We":[0,78,129],"propose":[1],"a":[2,28,58],"Nitsche-based":[3],"fictitious":[4],"domain":[5,19,67,106],"method":[6],"for":[7],"the":[8,15,18,25,44,65,84,105,109,115,119,126],"three":[9],"field":[10],"Stokes":[11],"problem":[12],"in":[13,83],"which":[14],"boundary":[16,70,85,107,127],"of":[17,27,35,103,118,125],"is":[20,55,92,122],"allowed":[21],"to":[22],"cross":[23],"through":[24],"elements":[26],"fixed":[29],"background":[30,45],"mesh.":[31,110],"The":[32],"dependent":[33],"variables":[34],"velocity,":[36],"pressure,":[37],"and":[38,87,95],"extra-stress":[39],"tensor":[40],"are":[41,72],"discretized":[42],"on":[43],"mesh":[46],"using":[47,57,75],"linear":[48],"finite":[49],"elements.":[50],"This":[51],"equal":[52],"order":[53],"approximation":[54],"stabilized":[56],"continuous":[59],"interior":[60],"penalty":[61],"(CIP)":[62],"method.":[63,77],"On":[64],"unfitted":[66],"boundary,":[68],"Dirichlet":[69],"conditions":[71],"weakly":[73],"enforced":[74],"Nitsche's":[76],"add":[79],"CIP-like":[80],"ghost":[81],"penalties":[82],"region":[86],"prove":[88],"that":[89,96,114],"our":[90,131],"scheme":[91],"inf-sup":[93],"stable":[94],"it":[97],"has":[98],"optimal":[99],"convergence":[100],"properties":[101],"independent":[102],"how":[104],"intersects":[108],"Additionally,":[111],"we":[112],"demonstrate":[113],"condition":[116],"number":[117],"system":[120],"matrix":[121],"bounded":[123],"independently":[124],"location.":[128],"corroborate":[130],"theoretical":[132],"findings":[133],"numerically.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
