{"id":"https://openalex.org/W2027417374","doi":"https://doi.org/10.1137/110834494","title":"Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater--Surface Water Flows","display_name":"Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater--Surface Water Flows","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2027417374","doi":"https://doi.org/10.1137/110834494","mag":"2027417374"},"language":"en","primary_location":{"id":"doi:10.1137/110834494","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110834494","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/A5064202954","display_name":"William Layton","orcid":"https://orcid.org/0000-0002-2539-4478"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"William Layton","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086561487","display_name":"Hoang Tran","orcid":"https://orcid.org/0000-0001-7068-5621"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hoang Tran","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5070920996","display_name":"C\u0103t\u0103lin Trenchea","orcid":"https://orcid.org/0000-0002-8135-5836"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Catalin Trenchea","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.4072,"has_fulltext":false,"cited_by_count":138,"citation_normalized_percentile":{"value":0.9763492,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"51","issue":"1","first_page":"248","last_page":"272"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9984999895095825,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7431008219718933},{"id":"https://openalex.org/keywords/multiphysics","display_name":"Multiphysics","score":0.7390836477279663},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6024049520492554},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5529206991195679},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5276264548301697},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4900263547897339},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.4894539415836334},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4830775558948517},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4708646833896637},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46426844596862793},{"id":"https://openalex.org/keywords/groundwater","display_name":"Groundwater","score":0.4639897346496582},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33501702547073364},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3298429250717163},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2724665105342865},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2133963704109192},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.1295926868915558},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11470955610275269},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.09086737036705017},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08864673972129822}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7431008219718933},{"id":"https://openalex.org/C46435376","wikidata":"https://www.wikidata.org/wiki/Q1829750","display_name":"Multiphysics","level":3,"score":0.7390836477279663},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6024049520492554},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5529206991195679},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5276264548301697},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4900263547897339},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.4894539415836334},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4830775558948517},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4708646833896637},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46426844596862793},{"id":"https://openalex.org/C76177295","wikidata":"https://www.wikidata.org/wiki/Q161598","display_name":"Groundwater","level":2,"score":0.4639897346496582},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33501702547073364},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3298429250717163},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2724665105342865},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2133963704109192},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.1295926868915558},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11470955610275269},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.09086737036705017},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08864673972129822},{"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/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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/110834494","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110834494","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":[{"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6","score":0.8299999833106995}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W163297063","https://openalex.org/W1674659126","https://openalex.org/W1842793358","https://openalex.org/W1967052603","https://openalex.org/W1968426797","https://openalex.org/W1968915803","https://openalex.org/W1974247334","https://openalex.org/W1974774379","https://openalex.org/W1988235001","https://openalex.org/W1989997498","https://openalex.org/W1992274274","https://openalex.org/W2010895452","https://openalex.org/W2011966235","https://openalex.org/W2012201881","https://openalex.org/W2015526039","https://openalex.org/W2018792437","https://openalex.org/W2027509489","https://openalex.org/W2032214238","https://openalex.org/W2033417190","https://openalex.org/W2052136392","https://openalex.org/W2054420328","https://openalex.org/W2057180900","https://openalex.org/W2058879110","https://openalex.org/W2060421236","https://openalex.org/W2069052480","https://openalex.org/W2074559574","https://openalex.org/W2078767654","https://openalex.org/W2082132401","https://openalex.org/W2083994446","https://openalex.org/W2085797730","https://openalex.org/W2086098462","https://openalex.org/W2091423409","https://openalex.org/W2094800629","https://openalex.org/W2096410586","https://openalex.org/W2097116154","https://openalex.org/W2099150268","https://openalex.org/W2100969493","https://openalex.org/W2112787727","https://openalex.org/W2116708736","https://openalex.org/W2126502713","https://openalex.org/W2153300091","https://openalex.org/W2156149812","https://openalex.org/W2165694856","https://openalex.org/W2166963624","https://openalex.org/W2169437869","https://openalex.org/W2341837764","https://openalex.org/W2562272683","https://openalex.org/W2582972221","https://openalex.org/W2607483978","https://openalex.org/W4239579464","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2084426624","https://openalex.org/W3026055904","https://openalex.org/W2792869497","https://openalex.org/W4312133600","https://openalex.org/W2567205727","https://openalex.org/W2361803029","https://openalex.org/W2548694948","https://openalex.org/W2010566957","https://openalex.org/W2304501688","https://openalex.org/W4312747563"],"abstract_inverted_index":{"The":[0],"most":[1],"effective":[2],"simulations":[3],"of":[4,8,84,104],"the":[5,16,21,30,36,44,73,85],"multiphysics":[6],"coupling":[7,46],"groundwater":[9,18],"to":[10],"surface":[11,23],"water":[12,24],"must":[13],"involve":[14],"employing":[15],"best":[17,22],"codes":[19],"and":[20,63],"codes.":[25],"Partitioned":[26],"methods,":[27],"which":[28],"solve":[29],"coupled":[31],"problem":[32],"by":[33],"successively":[34],"solving":[35],"subphysics":[37],"problems,":[38],"have":[39],"recently":[40],"been":[41],"studied":[42],"for":[43,72],"Stokes--Darcy":[45,76],"with":[47],"convergence":[48],"established":[49],"over":[50,121],"bounded":[51],"time":[52,81,98,120],"intervals":[53],"(with":[54],"constants":[55],"growing":[56],"exponentially":[57],"in":[58,119],"$t$).":[59],"This":[60],"report":[61],"analyzes":[62],"tests":[64],"two":[65],"such":[66],"partitioned":[67,106],"(noniterative,":[68],"domain":[69],"decomposition)":[70],"methods":[71],"fully":[74],"evolutionary":[75],"problem.":[77],"Under":[78],"a":[79],"modest":[80],"step":[82],"restriction":[83],"form":[86],"$\\Delta":[87],"t\\leq":[88],"C$,":[89],"where":[90],"$C=C$":[91],"(physical":[92],"parameters),":[93],"we":[94,110],"prove":[95],"unconditional,":[96],"long":[97],"(over":[99],"$0\\leq":[100,122],"t<\\infty":[101],"$)":[102],"stability":[103],"both":[105],"methods.":[107],"From":[108],"this":[109],"derive":[111],"an":[112],"optimal":[113],"error":[114],"estimate":[115],"that":[116],"is":[117],"uniform":[118],"t<\\infty$.":[123]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
