{"id":"https://openalex.org/W2015297407","doi":"https://doi.org/10.1137/s1064827597233743","title":"A Lagrange Scheme for a Mathematical Model of Powder Compression","display_name":"A Lagrange Scheme for a Mathematical Model of Powder Compression","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2015297407","doi":"https://doi.org/10.1137/s1064827597233743","mag":"2015297407"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827597233743","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827597233743","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/A5000305079","display_name":"G. Godinaud","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"G. Godinaud","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111556550","display_name":"M Roux","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. N. Le Roux","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5004914002","display_name":"A. Roux","orcid":"https://orcid.org/0000-0001-7333-0738"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Y. Le Roux","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000305079"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11495601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"4","first_page":"1094","last_page":"1112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10615","display_name":"Granular flow and fluidized beds","score":0.9919999837875366,"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/T10474","display_name":"Material Dynamics and Properties","score":0.9402999877929688,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7603293061256409},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6379947662353516},{"id":"https://openalex.org/keywords/compression","display_name":"Compression (physics)","score":0.6053282022476196},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5144055485725403},{"id":"https://openalex.org/keywords/deformation","display_name":"Deformation (meteorology)","score":0.4674324095249176},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.46239906549453735},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.4546218514442444},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.43765801191329956},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31168216466903687},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.24130725860595703}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7603293061256409},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6379947662353516},{"id":"https://openalex.org/C180016635","wikidata":"https://www.wikidata.org/wiki/Q2712821","display_name":"Compression (physics)","level":2,"score":0.6053282022476196},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5144055485725403},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.4674324095249176},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.46239906549453735},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4546218514442444},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.43765801191329956},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31168216466903687},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.24130725860595703},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827597233743","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827597233743","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":[{"display_name":"Peace, Justice and strong institutions","score":0.7099999785423279,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1580700045","https://openalex.org/W1589895276","https://openalex.org/W1987551236","https://openalex.org/W2088770081","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2074745806","https://openalex.org/W1997033546","https://openalex.org/W1600454385","https://openalex.org/W3120556963","https://openalex.org/W1979241556","https://openalex.org/W1975289146","https://openalex.org/W2075135629","https://openalex.org/W2540189047","https://openalex.org/W2173682744","https://openalex.org/W2759939777"],"abstract_inverted_index":{"A":[0],"mathematical":[1,57],"model":[2,16],"to":[3,34],"simulate":[4],"the":[5,23,26,29,35,54],"compression":[6],"of":[7,25,37,43,59],"pharmaceutical":[8],"powder":[9],"under":[10],"fixed":[11],"deformation":[12],"is":[13,17,62],"proposed.":[14],"This":[15,31],"an":[18,69],"hydrodynamic":[19],"one,":[20],"completed":[21],"with":[22],"description":[24],"porosity":[27],"in":[28],"medium.":[30],"study":[32],"leads":[33],"elaboration":[36],"a":[38,50,65],"general":[39],"monodimensional":[40],"model,":[41],"made":[42,63],"three":[44],"nonlinear":[45],"partial":[46],"derivative":[47],"equations":[48],"and":[49,68],"state":[51],"law":[52],"for":[53],"pressure.":[55],"The":[56],"resolution":[58],"this":[60],"system":[61],"using":[64],"splitting":[66],"technique":[67],"efficient":[70],"numerical":[71],"method.":[72]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}