{"id":"https://openalex.org/W2519809374","doi":"https://doi.org/10.1137/15m1047891","title":"Stability and Convergence Analysis of a Decoupled Algorithm for a Fluid-Fluid Interaction Problem","display_name":"Stability and Convergence Analysis of a Decoupled Algorithm for a Fluid-Fluid Interaction Problem","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2519809374","doi":"https://doi.org/10.1137/15m1047891","mag":"2519809374"},"language":"en","primary_location":{"id":"doi:10.1137/15m1047891","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1047891","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/A5100779801","display_name":"Yuhong Zhang","orcid":"https://orcid.org/0000-0003-3830-6622"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yuhong Zhang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102727088","display_name":"Yanren Hou","orcid":"https://orcid.org/0000-0002-3528-5822"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yanren Hou","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5020931421","display_name":"Shan Li","orcid":"https://orcid.org/0000-0003-0542-6767"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li Shan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100779801"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3436,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.91643332,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"54","issue":"5","first_page":"2833","last_page":"2867"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7989945411682129},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.637808620929718},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6082682609558105},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.568387508392334},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.514849841594696},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4811778962612152},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.4470658600330353},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3708208501338959},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3593922555446625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.134410560131073}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7989945411682129},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.637808620929718},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6082682609558105},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.568387508392334},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.514849841594696},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4811778962612152},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.4470658600330353},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3708208501338959},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3593922555446625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.134410560131073},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/15m1047891","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1047891","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6789638408","display_name":null,"funder_award_id":"11326224","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6884055810","display_name":null,"funder_award_id":"11571274","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8232261690","display_name":null,"funder_award_id":"11401284","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W617333099","https://openalex.org/W1480058644","https://openalex.org/W1492326914","https://openalex.org/W1619952182","https://openalex.org/W1963571299","https://openalex.org/W1968915803","https://openalex.org/W1988235001","https://openalex.org/W2010895452","https://openalex.org/W2027417374","https://openalex.org/W2051862019","https://openalex.org/W2057180900","https://openalex.org/W2083994446","https://openalex.org/W2085797730","https://openalex.org/W2108914822","https://openalex.org/W2223681941","https://openalex.org/W2937246599"],"related_works":["https://openalex.org/W1517908938","https://openalex.org/W2281834912","https://openalex.org/W1489941249","https://openalex.org/W3123492739","https://openalex.org/W4320486059","https://openalex.org/W2494168571","https://openalex.org/W3121191496","https://openalex.org/W1550676882","https://openalex.org/W1992626918","https://openalex.org/W2033096984"],"abstract_inverted_index":{"In":[0],"this":[1,58],"paper,":[2],"we":[3,55],"analyze":[4],"the":[5,22,29,34],"stability":[6],"and":[7,37,44],"error":[8,76],"estimate":[9],"of":[10],"a":[11,15],"decoupled":[12,59],"method":[13,20,26],"for":[14,82],"fluid-fluid":[16],"interaction":[17],"problem.":[18],"This":[19],"applies":[21],"partitioned":[23],"time":[24,69],"stepping":[25],"to":[27,94],"decouple":[28],"coupling":[30],"system,":[31],"which":[32],"is":[33,61,79],"implicit/explicit":[35],"scheme":[36],"was":[38],"first":[39],"proposed":[40],"by":[41],"Connors,":[42],"Howell,":[43],"Layton":[45],"[SIAM":[46],"J.":[47],"Numer.":[48],"Anal.,":[49],"50":[50],"(2012),":[51],"pp.":[52],"1297--1319].":[53],"Theoretically,":[54],"prove":[56],"that":[57,74],"algorithm":[60],"not":[62],"only":[63],"conditional":[64],"stable":[65],"but":[66],"also":[67,72],"long":[68],"stable.":[70],"We":[71],"derive":[73],"its":[75],"convergence":[77],"order":[78],"$o(\\Delta":[80],"t+h^{\\frac{3}{2}})$":[81],"velocity":[83],"variables":[84],"in":[85],"$L^2$":[86],"norm.":[87],"Besides,":[88],"several":[89],"numerical":[90],"tests":[91],"are":[92],"given":[93],"verify":[95],"our":[96],"theoretical":[97],"results.":[98]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}