{"id":"https://openalex.org/W2056802891","doi":"https://doi.org/10.1137/s0036142903424386","title":"Analysis of the Brezzi--Pitk\u00e4ranta Stabilized Galerkin Scheme for Creeping Flows of Bingham Fluids","display_name":"Analysis of the Brezzi--Pitk\u00e4ranta Stabilized Galerkin Scheme for Creeping Flows of Bingham Fluids","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2056802891","doi":"https://doi.org/10.1137/s0036142903424386","mag":"2056802891"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142903424386","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142903424386","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/A5110476855","display_name":"J.\u2010C. Latch\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I1293448361","display_name":"Institut de Radioprotection et de S\u00fbret\u00e9 Nucl\u00e9aire","ror":"https://ror.org/01ha22c77","country_code":"FR","type":"nonprofit","lineage":["https://openalex.org/I1293448361"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J. C. Latch\u00e9","raw_affiliation_strings":["INSTITUT DE RADIOPROTECTION ET DE SURETE NUCLEAIRE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INSTITUT DE RADIOPROTECTION ET DE SURETE NUCLEAIRE","institution_ids":["https://openalex.org/I1293448361"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001008668","display_name":"D. Vola","orcid":null},"institutions":[{"id":"https://openalex.org/I1293448361","display_name":"Institut de Radioprotection et de S\u00fbret\u00e9 Nucl\u00e9aire","ror":"https://ror.org/01ha22c77","country_code":"FR","type":"nonprofit","lineage":["https://openalex.org/I1293448361"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Vola","raw_affiliation_strings":["INSTITUT DE RADIOPROTECTION ET DE SURETE NUCLEAIRE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INSTITUT DE RADIOPROTECTION ET DE SURETE NUCLEAIRE","institution_ids":["https://openalex.org/I1293448361"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1293448361"],"apc_list":null,"apc_paid":null,"fwci":0.8907,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.74211581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"42","issue":"3","first_page":"1208","last_page":"1225"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994999766349792,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9984999895095825,"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":0.8400248289108276},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6385445594787598},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5911784768104553},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5297086238861084},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5209661722183228},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.510033905506134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49422624707221985},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.48488649725914},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.48452943563461304},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.4415554404258728},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4332277774810791},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.41910016536712646},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.41021764278411865},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.07636526226997375},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07150483131408691}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8400248289108276},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6385445594787598},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5911784768104553},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5297086238861084},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5209661722183228},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.510033905506134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49422624707221985},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.48488649725914},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.48452943563461304},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.4415554404258728},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4332277774810791},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.41910016536712646},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.41021764278411865},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.07636526226997375},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07150483131408691},{"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical 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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0036142903424386","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142903424386","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:CiteSeerX.psu:10.1.1.455.2911","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.455.2911","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.latp.univ-mrs.fr/~latche/Papers/sinum_bingham.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-03080738v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03080738","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Numerical Analysis, 2004, 42 (3), pp.1208-1225. ⟨10.1137/S0036142903424386⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322760","display_name":"Institut de Radioprotection et de S\u00dbret\u00e9 Nucl\u00e9aire","ror":"https://ror.org/01ha22c77"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W79042223","https://openalex.org/W1778185943","https://openalex.org/W1967077838","https://openalex.org/W1986608219","https://openalex.org/W1988877312","https://openalex.org/W1989148218","https://openalex.org/W2038049343","https://openalex.org/W2056399160","https://openalex.org/W2058389337","https://openalex.org/W2078166680","https://openalex.org/W2097960207","https://openalex.org/W2107087294","https://openalex.org/W2985272081"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W2120874885","https://openalex.org/W2982093746","https://openalex.org/W3043435143","https://openalex.org/W2162026849","https://openalex.org/W2037688108","https://openalex.org/W2394687667","https://openalex.org/W4238937692","https://openalex.org/W1995357705","https://openalex.org/W2040975642"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"propose":[4],"and":[5,17,44,46,73,78],"analyze":[6],"a":[7,12,53],"finite":[8],"element":[9],"scheme":[10,49],"for":[11,41,66,71],"class":[13],"of":[14,28,61,105],"variational":[15],"nonlinear":[16,88],"nondifferentiable":[18],"mixed":[19],"inequalities":[20],"including":[21],"balance":[22],"equations":[23],"governing":[24],"incompressible":[25],"creeping":[26],"flows":[27],"Bingham":[29],"fluids.":[30],"For":[31],"numerical":[32,48,99,130],"efficiency":[33],"reasons,":[34],"equal-order":[35],"piecewise":[36],"linear":[37],"approximations":[38],"are":[39,101,115],"used":[40],"both":[42],"velocity":[43,72],"pressure,":[45],"the":[47,62,86,106],"is":[50,91,127],"stabilized":[51],"by":[52,129],"Brezzi--Pitk\u00e4ranta":[54],"perturbation":[55],"term.":[56],"We":[57],"obtain":[58],"error":[59],"estimates":[60],"same":[63],"order":[64,120],"as":[65],"stable":[67],"discretizations,":[68],"namely":[69],"h1/2":[70],"pressure":[74],"solutions":[75],"in":[76],"$\\HtwoD$":[77],"$\\Hun$,":[79],"respectively.":[80],"A":[81],"decomposition-coordination":[82],"algorithm":[83],"to":[84,117,122],"solve":[85],"discrete":[87],"algebraic":[89],"system":[90],"presented,":[92],"together":[93],"with":[94],"its":[95],"convergence":[96,119],"properties.":[97],"Finally,":[98],"tests":[100],"performed.":[102],"The":[103],"solution":[104],"problem":[107],"under":[108],"consideration":[109],"presents":[110],"particular":[111],"regularity":[112],"properties":[113],"that":[114],"shown":[116],"permit":[118],"improvement":[121],"h":[123],"|log(h)|1/2$.":[124],"This":[125],"estimate":[126],"confirmed":[128],"results.":[131]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}