{"id":"https://openalex.org/W2006596837","doi":"https://doi.org/10.1002/1099-1506(200009)7:6<381::aid-nla203>3.0.co;2-w","title":"Steady Bingham fluid flow in cylindrical pipes: a time dependent approach to the iterative solution","display_name":"Steady Bingham fluid flow in cylindrical pipes: a time dependent approach to the iterative solution","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2006596837","doi":"https://doi.org/10.1002/1099-1506(200009)7:6<381::aid-nla203>3.0.co;2-w","mag":"2006596837"},"language":"en","primary_location":{"id":"doi:10.1002/1099-1506(200009)7:6<381::aid-nla203>3.0.co;2-w","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1099-1506(200009)7:6<381::aid-nla203>3.0.co;2-w","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","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/A5058245677","display_name":"Jiwen He","orcid":"https://orcid.org/0000-0001-5751-6698"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. W. He","raw_affiliation_strings":["Department of Mathematics, University of Houston. Houston, TX 77204-3476, U.S.A","Department of Mathematics, University of Houston, Houston, TX 77204\u20103476, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston. Houston, TX 77204-3476, U.S.A","institution_ids":["https://openalex.org/I44461941"]},{"raw_affiliation_string":"Department of Mathematics, University of Houston, Houston, TX 77204\u20103476, U.S.A","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056887719","display_name":"Roland Glowinski","orcid":null},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Glowinski","raw_affiliation_strings":["Department of Mathematics, University of Houston. Houston, TX 77204-3476, U.S.A","Department of Mathematics, University of Houston, Houston, TX 77204\u20103476, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston. Houston, TX 77204-3476, U.S.A","institution_ids":["https://openalex.org/I44461941"]},{"raw_affiliation_string":"Department of Mathematics, University of Houston, Houston, TX 77204\u20103476, U.S.A","institution_ids":["https://openalex.org/I44461941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058245677"],"corresponding_institution_ids":["https://openalex.org/I44461941"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":1.6084,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.81082885,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":"6","first_page":"381","last_page":"428"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11205","display_name":"Numerical methods in inverse problems","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.7482856512069702},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.5956012010574341},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.572878897190094},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5673465728759766},{"id":"https://openalex.org/keywords/bingham-plastic","display_name":"Bingham plastic","score":0.5472445487976074},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5320889353752136},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4895876348018646},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4762461483478546},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4747752845287323},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.44462013244628906},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44150203466415405},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.434814453125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34562212228775024},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.343807190656662},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19762453436851501},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12741100788116455},{"id":"https://openalex.org/keywords/rheology","display_name":"Rheology","score":0.08772999048233032}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7482856512069702},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.5956012010574341},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.572878897190094},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5673465728759766},{"id":"https://openalex.org/C134654583","wikidata":"https://www.wikidata.org/wiki/Q863789","display_name":"Bingham plastic","level":3,"score":0.5472445487976074},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5320889353752136},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4895876348018646},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4762461483478546},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4747752845287323},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.44462013244628906},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44150203466415405},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.434814453125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34562212228775024},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.343807190656662},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19762453436851501},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12741100788116455},{"id":"https://openalex.org/C200990466","wikidata":"https://www.wikidata.org/wiki/Q271707","display_name":"Rheology","level":2,"score":0.08772999048233032},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/1099-1506(200009)7:6<381::aid-nla203>3.0.co;2-w","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1099-1506(200009)7:6<381::aid-nla203>3.0.co;2-w","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W162282533","https://openalex.org/W1492326914","https://openalex.org/W1493981498","https://openalex.org/W1515623627","https://openalex.org/W1560055494","https://openalex.org/W1597209545","https://openalex.org/W1604809219","https://openalex.org/W1967077838","https://openalex.org/W1985588167","https://openalex.org/W2001258952","https://openalex.org/W2004326643","https://openalex.org/W2005436751","https://openalex.org/W2022977680","https://openalex.org/W2033736734","https://openalex.org/W2041523977","https://openalex.org/W2053487511","https://openalex.org/W2587385023","https://openalex.org/W2985272081","https://openalex.org/W4210300254","https://openalex.org/W4230055019","https://openalex.org/W4292166829","https://openalex.org/W4292311687","https://openalex.org/W4298228534","https://openalex.org/W4301283118","https://openalex.org/W4302819252","https://openalex.org/W6630889586","https://openalex.org/W6633587998","https://openalex.org/W6636224930","https://openalex.org/W6651559757","https://openalex.org/W6660938892","https://openalex.org/W6750968397","https://openalex.org/W7021247553"],"related_works":["https://openalex.org/W2009711572","https://openalex.org/W2089955609","https://openalex.org/W2466040413","https://openalex.org/W2189596786","https://openalex.org/W2563697776","https://openalex.org/W2039299714","https://openalex.org/W1981367860","https://openalex.org/W2365810470","https://openalex.org/W1674877062","https://openalex.org/W3124634719"],"abstract_inverted_index":{"The":[0,27],"main":[1],"goal":[2],"of":[3,17,30,42,54,62,68,72,86,95],"this":[4],"article":[5],"is":[6,29,65],"to":[7,47,92],"discuss":[8],"a":[9,18,24,48,66],"novel":[10],"iterative":[11],"method":[12,28],"for":[13],"the":[14,31,55,63,73,79,84,87,93],"numerical":[15],"simulation":[16],"steady":[19],"Bingham":[20],"fluid":[21],"flow":[22],"in":[23],"cylindrical":[25],"pipe.":[26],"primal-dual":[32],"type":[33],"and":[34,98],"can":[35],"be":[36],"interpreted":[37],"as":[38],"an":[39],"implicit":[40],"scheme":[41],"backward":[43],"Euler":[44],"type,":[45],"applied":[46],"well":[49],"chosen":[50],"time":[51],"dependent":[52],"variant":[53],"problem":[56],"under":[57],"consideration.":[58],"A":[59],"key":[60],"ingredient":[61],"algorithm":[64],"kind":[67],"dynamical":[69],"Tychonoff":[70],"regularization":[71],"fixed":[74],"point":[75],"relation":[76],"verified":[77],"by":[78],"dual":[80],"solution.":[81],"After":[82],"proving":[83],"convergence":[85,103],"method,":[88],"we":[89],"apply":[90],"it":[91],"solution":[94],"test":[96],"problems":[97],"verify":[99],"its":[100],"anticipated":[101],"good":[102],"properties.":[104],"Copyright":[105],"\u00a9":[106],"2000":[107],"John":[108],"Wiley":[109],"&":[110],"Sons,":[111],"Ltd.":[112]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
