{"id":"https://openalex.org/W2039228653","doi":"https://doi.org/10.1137/090757411","title":"Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes","display_name":"Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2039228653","doi":"https://doi.org/10.1137/090757411","mag":"2039228653"},"language":"en","primary_location":{"id":"doi:10.1137/090757411","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090757411","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":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":true,"raw_author_name":"L. Beir\u00e3o da Veiga","raw_affiliation_strings":["lourenco.beirao@unimi.it#TAB#"],"affiliations":[{"raw_affiliation_string":"lourenco.beirao@unimi.it#TAB#","institution_ids":[]}]},{"author_position":"middle","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#"],"affiliations":[{"raw_affiliation_string":"lipnikov@lanl.gov#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014223403","display_name":"Gianmarco Manzini","orcid":"https://orcid.org/0000-0003-3626-3112"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. Manzini","raw_affiliation_strings":["Marco.Manzini@imati.cnr.it#TAB#"],"affiliations":[{"raw_affiliation_string":"Marco.Manzini@imati.cnr.it#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062969935"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3879,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.92293453,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"48","issue":"4","first_page":"1419","last_page":"1443"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9972000122070312,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.9189317226409912},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8357414603233337},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8080788850784302},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.7486231923103333},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6522941589355469},{"id":"https://openalex.org/keywords/volume-mesh","display_name":"Volume mesh","score":0.5370141267776489},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5198647975921631},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4570882022380829},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.45681652426719666},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44357946515083313},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.440146803855896},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.41690096259117126},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4044608175754547},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3273049592971802},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.31963324546813965},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.04763609170913696}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.9189317226409912},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8357414603233337},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8080788850784302},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.7486231923103333},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6522941589355469},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.5370141267776489},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5198647975921631},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4570882022380829},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.45681652426719666},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44357946515083313},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.440146803855896},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.41690096259117126},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4044608175754547},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3273049592971802},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.31963324546813965},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.04763609170913696},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090757411","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090757411","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:boa.unimib.it:10281/99151","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/99151","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":[{"display_name":"Reduced inequalities","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1492326914","https://openalex.org/W1584386093","https://openalex.org/W1968754888","https://openalex.org/W1973533784","https://openalex.org/W1978431384","https://openalex.org/W1979238392","https://openalex.org/W1986520802","https://openalex.org/W1990258816","https://openalex.org/W2001672398","https://openalex.org/W2002422755","https://openalex.org/W2009985306","https://openalex.org/W2010507423","https://openalex.org/W2011009377","https://openalex.org/W2015148405","https://openalex.org/W2041647965","https://openalex.org/W2044197214","https://openalex.org/W2048786327","https://openalex.org/W2048972778","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/W2111704392","https://openalex.org/W2119306252","https://openalex.org/W2125131258","https://openalex.org/W2126086928","https://openalex.org/W2129124839","https://openalex.org/W2137262726","https://openalex.org/W2139341484","https://openalex.org/W2158869565","https://openalex.org/W2162097707","https://openalex.org/W2171283516","https://openalex.org/W4255083736"],"related_works":["https://openalex.org/W4384079070","https://openalex.org/W2905912874","https://openalex.org/W2959142174","https://openalex.org/W2109060672","https://openalex.org/W2022785616","https://openalex.org/W2966496118","https://openalex.org/W2089280110","https://openalex.org/W2304197568","https://openalex.org/W1033758311","https://openalex.org/W2773756540"],"abstract_inverted_index":{"We":[0],"present":[1],"the":[2,10,16],"development,":[3],"convergence":[4],"analysis,":[5],"and":[6,22,31],"numerical":[7],"tests":[8],"of":[9],"mimetic":[11],"finite":[12],"difference":[13],"method":[14],"for":[15,29],"Stokes":[17],"problem":[18],"on":[19],"two-dimensional":[20],"polygonal":[21],"three-dimensional":[23],"polyhedral":[24],"meshes.":[25],"\u00a9":[26],"2010":[27],"Society":[28],"Industrial":[30],"Applied":[32],"Mathematics.":[33]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}