{"id":"https://openalex.org/W2021549099","doi":"https://doi.org/10.1137/110847998","title":"A Finite Volume Preserving Scheme on Nonuniform Meshes and for Multidimensional Coalescence","display_name":"A Finite Volume Preserving Scheme on Nonuniform Meshes and for Multidimensional Coalescence","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2021549099","doi":"https://doi.org/10.1137/110847998","mag":"2021549099"},"language":"en","primary_location":{"id":"doi:10.1137/110847998","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110847998","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-00621069","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055818783","display_name":"Louis Forestier-Coste","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131315","display_name":"Laboratoire de Math\u00e9matiques Analyse, Probabilit\u00e9s, Mod\u00e9lisation Orl\u00e9ans","ror":"https://ror.org/03d6rdf69","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12449238","https://openalex.org/I1294671590","https://openalex.org/I4210131315","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"L. Forestier-Coste","raw_affiliation_strings":["Math\u00e9matiques - Analyse, Probabilit\u00e9s, Mod\u00e9lisation - Orl\u00e9ans"],"affiliations":[{"raw_affiliation_string":"Math\u00e9matiques - Analyse, Probabilit\u00e9s, Mod\u00e9lisation - Orl\u00e9ans","institution_ids":["https://openalex.org/I4210131315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103036114","display_name":"Simona Mancini","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131315","display_name":"Laboratoire de Math\u00e9matiques Analyse, Probabilit\u00e9s, Mod\u00e9lisation Orl\u00e9ans","ror":"https://ror.org/03d6rdf69","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12449238","https://openalex.org/I1294671590","https://openalex.org/I4210131315","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S. Mancini","raw_affiliation_strings":["Math\u00e9matiques - Analyse, Probabilit\u00e9s, Mod\u00e9lisation - Orl\u00e9ans"],"affiliations":[{"raw_affiliation_string":"Math\u00e9matiques - Analyse, Probabilit\u00e9s, Mod\u00e9lisation - Orl\u00e9ans","institution_ids":["https://openalex.org/I4210131315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055818783"],"corresponding_institution_ids":["https://openalex.org/I4210131315"],"apc_list":null,"apc_paid":null,"fwci":1.7488,"has_fulltext":false,"cited_by_count":64,"citation_normalized_percentile":{"value":0.83519899,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"34","issue":"6","first_page":"B840","last_page":"B860"},"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":0.9901000261306763,"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":0.9901000261306763,"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":0.9883000254631042,"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/T10940","display_name":"Navier-Stokes equation solutions","score":0.979200005531311,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/coalescence","display_name":"Coalescence (physics)","score":0.7859514951705933},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.729607105255127},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.725674033164978},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5749136209487915},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.5593490600585938},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.529353678226471},{"id":"https://openalex.org/keywords/smoluchowski-coagulation-equation","display_name":"Smoluchowski coagulation equation","score":0.4689461886882782},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.46149739623069763},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4593982398509979},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33884647488594055},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32868117094039917},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27707815170288086},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13400432467460632},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09900015592575073}],"concepts":[{"id":"https://openalex.org/C149792144","wikidata":"https://www.wikidata.org/wiki/Q2071902","display_name":"Coalescence (physics)","level":2,"score":0.7859514951705933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.729607105255127},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.725674033164978},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5749136209487915},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.5593490600585938},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.529353678226471},{"id":"https://openalex.org/C143002175","wikidata":"https://www.wikidata.org/wiki/Q971184","display_name":"Smoluchowski coagulation equation","level":2,"score":0.4689461886882782},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.46149739623069763},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4593982398509979},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33884647488594055},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32868117094039917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27707815170288086},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13400432467460632},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09900015592575073},{"id":"https://openalex.org/C87355193","wikidata":"https://www.wikidata.org/wiki/Q411","display_name":"Astrobiology","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:10.1137/110847998","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110847998","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:HAL:hal-00621069v2","is_oa":true,"landing_page_url":"https://hal.science/hal-00621069","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, 2012, pp.B840-B860. &#x27E8;10.1137/110847998&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00621069v2","is_oa":true,"landing_page_url":"https://hal.science/hal-00621069","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Scientific Computing, 2012, pp.B840-B860. &#x27E8;10.1137/110847998&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W165943075","https://openalex.org/W644102060","https://openalex.org/W1539673960","https://openalex.org/W1578469526","https://openalex.org/W1964115567","https://openalex.org/W1964572025","https://openalex.org/W1971145437","https://openalex.org/W1973927003","https://openalex.org/W1976218309","https://openalex.org/W1977821962","https://openalex.org/W1980231741","https://openalex.org/W1992729148","https://openalex.org/W1994629223","https://openalex.org/W2000878807","https://openalex.org/W2009818609","https://openalex.org/W2010908535","https://openalex.org/W2013544528","https://openalex.org/W2016552799","https://openalex.org/W2026675047","https://openalex.org/W2052883156","https://openalex.org/W2068365888","https://openalex.org/W2068926315","https://openalex.org/W2092168540","https://openalex.org/W2095114434","https://openalex.org/W2123468747","https://openalex.org/W2132214674","https://openalex.org/W2333976070","https://openalex.org/W3102642837","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2801514474","https://openalex.org/W2034255721","https://openalex.org/W2032446390","https://openalex.org/W2135085147","https://openalex.org/W2634859968","https://openalex.org/W209873738","https://openalex.org/W2006759189","https://openalex.org/W2606785580","https://openalex.org/W1993347589","https://openalex.org/W2077738639"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"present":[4],"a":[5,32],"deterministic":[6],"numerical":[7,17,60],"approximation":[8],"of":[9],"the":[10,20,40,71],"coalescence":[11],"or":[12],"Smoluchowski":[13],"equation.":[14],"The":[15,29],"proposed":[16],"scheme":[18,41],"conserves":[19],"first":[21],"order":[22],"momentum":[23],"and":[24,49,52,62],"deals":[25],"with":[26,66],"nonuniform":[27],"grids.":[28],"generalization":[30],"to":[31],"multidimensional":[33],"framework":[34],"is":[35],"also":[36],"described.":[37],"We":[38],"validate":[39],"considering":[42],"some":[43],"classical":[44],"tests":[45],"in":[46,70],"both":[47],"one":[48],"two":[50],"dimensions":[51],"discuss":[53],"its":[54],"behavior":[55],"when":[56],"gelation":[57],"occurs.":[58],"Our":[59],"results":[61],"code":[63],"are":[64],"compared":[65],"those":[67],"already":[68],"existent":[69],"literature.":[72]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
