{"id":"https://openalex.org/W2044197214","doi":"https://doi.org/10.1137/090767029","title":"A Mimetic Discretization of the Stokes Problem with Selected Edge Bubbles","display_name":"A Mimetic Discretization of the Stokes Problem with Selected Edge Bubbles","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2044197214","doi":"https://doi.org/10.1137/090767029","mag":"2044197214"},"language":"en","primary_location":{"id":"doi:10.1137/090767029","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090767029","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/A5062969935","display_name":"L. Beir\u00e3o da Veiga","orcid":"https://orcid.org/0000-0001-5895-469X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L. Beir\u00e3o da Veiga","raw_affiliation_strings":["lourenco.beirao@unimi.it#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"lourenco.beirao@unimi.it#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052289620","display_name":"Konstantin Lipnikov","orcid":"https://orcid.org/0000-0002-1475-4626"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K. Lipnikov","raw_affiliation_strings":["lipnikov@lanl.gov#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"lipnikov@lanl.gov#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.3613,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.96027545,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"32","issue":"2","first_page":"875","last_page":"893"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9950000047683716,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.8548078536987305},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8508632183074951},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7854568958282471},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.702827513217926},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6494357585906982},{"id":"https://openalex.org/keywords/bubble","display_name":"Bubble","score":0.4812990725040436},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.47574329376220703},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4531533718109131},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.4382890462875366},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4254196882247925},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3566446900367737},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.2598874568939209},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2562686502933502},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13499736785888672}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.8548078536987305},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8508632183074951},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7854568958282471},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.702827513217926},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6494357585906982},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.4812990725040436},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.47574329376220703},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4531533718109131},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.4382890462875366},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4254196882247925},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3566446900367737},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.2598874568939209},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2562686502933502},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13499736785888672},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090767029","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090767029","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"},{"id":"pmh:oai:boa.unimib.it:10281/99163","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/99163","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1968754888","https://openalex.org/W1978431384","https://openalex.org/W2001672398","https://openalex.org/W2002422755","https://openalex.org/W2015148405","https://openalex.org/W2019628009","https://openalex.org/W2048786327","https://openalex.org/W2056923080","https://openalex.org/W2083228052","https://openalex.org/W2087353485","https://openalex.org/W2088209270","https://openalex.org/W2088275818","https://openalex.org/W2089338801","https://openalex.org/W2097964994","https://openalex.org/W2100520873","https://openalex.org/W2101501899","https://openalex.org/W2107487126","https://openalex.org/W2107576752","https://openalex.org/W2109462776","https://openalex.org/W2111704392","https://openalex.org/W2112576941","https://openalex.org/W2119306252","https://openalex.org/W2125131258","https://openalex.org/W2139341484","https://openalex.org/W2158869565","https://openalex.org/W2171283516","https://openalex.org/W4255083736"],"related_works":["https://openalex.org/W2965585506","https://openalex.org/W3090384263","https://openalex.org/W2796969560","https://openalex.org/W4252583622","https://openalex.org/W2087757951","https://openalex.org/W2149298118","https://openalex.org/W2950383035","https://openalex.org/W1439620132","https://openalex.org/W2152679091","https://openalex.org/W2556186148"],"abstract_inverted_index":{"A":[0,87],"new":[1],"mimetic":[2,15,38],"finite":[3,26,49],"difference":[4],"method":[5,28],"for":[6,90],"the":[7,25,37,41,45,72],"Stokes":[8],"problem":[9],"is":[10,51,94],"proposed":[11,95],"and":[12,96],"analyzed.":[13],"The":[14],"discretization":[16],"methodology":[17],"can":[18],"be":[19,54],"understood":[20],"as":[21],"a":[22,60,77],"generalization":[23,39],"of":[24,40,63,80],"element":[27,50],"to":[29,53,59,70,83],"meshes":[30],"with":[31,98],"general":[32],"polygons/polyhedrons.":[33],"In":[34],"this":[35],"paper,":[36],"unstable":[42],"$P_1-P_0$":[43],"(and":[44],"\u201cconditionally":[46],"stable\u201d":[47],"$Q1-P0$)":[48],"shown":[52],"fully":[55],"stable":[56],"when":[57],"applied":[58],"large":[61],"range":[62],"polygonal":[64],"meshes.":[65],"Moreover,":[66],"we":[67],"show":[68],"how":[69],"stabilize":[71],"remaining":[73],"cases":[74],"by":[75],"adding":[76],"small":[78],"number":[79],"bubble":[81],"functions":[82],"selected":[84],"mesh":[85],"edges.":[86],"simple":[88],"strategy":[89],"selecting":[91],"such":[92],"edges":[93],"verified":[97],"numerical":[99],"experiments.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}