{"id":"https://openalex.org/W2587244008","doi":"https://doi.org/10.1080/00207160.2017.1290431","title":"A decoupled scheme with leap-frog multi-time step for non-stationary Stokes\u2013Darcy system","display_name":"A decoupled scheme with leap-frog multi-time step for non-stationary Stokes\u2013Darcy system","publication_year":2017,"publication_date":"2017-02-07","ids":{"openalex":"https://openalex.org/W2587244008","doi":"https://doi.org/10.1080/00207160.2017.1290431","mag":"2587244008"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2017.1290431","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1290431","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5013051598","display_name":"Rui Li","orcid":"https://orcid.org/0000-0002-9947-0015"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Li","raw_affiliation_strings":["School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100332995","display_name":"Jie Chen","orcid":"https://orcid.org/0000-0003-1036-007X"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Chen","raw_affiliation_strings":["School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086480330","display_name":"Zhangxin Chen","orcid":"https://orcid.org/0000-0002-9107-1925"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]},{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CA","CN"],"is_corresponding":true,"raw_author_name":"Zhangxin Chen","raw_affiliation_strings":["Center for Computational Geosciences, Xi'an Jiaotong University, Xi'an, China","Department of Chemical &amp; Petroleum Engineering, Schulich School of Engineering, University of Calgary, Calgary, Alberta, Canada","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"Center for Computational Geosciences, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Department of Chemical &amp; Petroleum Engineering, Schulich School of Engineering, University of Calgary, Calgary, Alberta, Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026611351","display_name":"Yali Gao","orcid":"https://orcid.org/0000-0001-8308-2475"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yali Gao","raw_affiliation_strings":["School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5086480330"],"corresponding_institution_ids":["https://openalex.org/I168635309","https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.01675346,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"95","issue":"2","first_page":"361","last_page":"381"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10104","display_name":"Nanofluid Flow and Heat Transfer","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/time-stepping","display_name":"Time stepping","score":0.7296416759490967},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7166680693626404},{"id":"https://openalex.org/keywords/darcys-law","display_name":"Darcy's law","score":0.640619158744812},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6232850551605225},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.614614725112915},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5719066858291626},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5202097296714783},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.4535485506057739},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.42961958050727844},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40748053789138794},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38616082072257996},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33305928111076355},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.277033269405365},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2517910599708557},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.07971552014350891}],"concepts":[{"id":"https://openalex.org/C3019693144","wikidata":"https://www.wikidata.org/wiki/Q541182","display_name":"Time stepping","level":3,"score":0.7296416759490967},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7166680693626404},{"id":"https://openalex.org/C183447037","wikidata":"https://www.wikidata.org/wiki/Q392416","display_name":"Darcy's law","level":4,"score":0.640619158744812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6232850551605225},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.614614725112915},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5719066858291626},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5202097296714783},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.4535485506057739},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.42961958050727844},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40748053789138794},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38616082072257996},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33305928111076355},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.277033269405365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2517910599708557},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.07971552014350891},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"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:10.1080/00207160.2017.1290431","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2017.1290431","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"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":20,"referenced_works":["https://openalex.org/W1988512897","https://openalex.org/W1989997498","https://openalex.org/W2001445711","https://openalex.org/W2010895452","https://openalex.org/W2012201881","https://openalex.org/W2018792437","https://openalex.org/W2027417374","https://openalex.org/W2027509489","https://openalex.org/W2043107210","https://openalex.org/W2050516929","https://openalex.org/W2057180900","https://openalex.org/W2058879110","https://openalex.org/W2075957684","https://openalex.org/W2078005094","https://openalex.org/W2085172720","https://openalex.org/W2097116154","https://openalex.org/W2112787727","https://openalex.org/W2116708736","https://openalex.org/W2162707720","https://openalex.org/W3143807873"],"related_works":["https://openalex.org/W1975289146","https://openalex.org/W1983176903","https://openalex.org/W2998664957","https://openalex.org/W3146107892","https://openalex.org/W1994780139","https://openalex.org/W2095262078","https://openalex.org/W2075847194","https://openalex.org/W4297704369","https://openalex.org/W2031182907","https://openalex.org/W2073897953"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,8,17,52],"multiple-time-step":[4],"decoupled":[5,40],"algorithm":[6],"for":[7,70],"non-stationary":[9],"Stokes\u2013Darcy":[10],"problem":[11,73],"is":[12],"proposed":[13],"and":[14,25,35,48,64],"investigated.":[15],"Under":[16],"modest":[18],"time":[19,27,44],"step":[20,28,45],"restriction":[21],"of":[22,38,54,66],"physical":[23],"parameters":[24],"the":[26,32,39,61,67,71,75],"proportion,":[29],"we":[30],"give":[31],"stability":[33,65],"analysis":[34,37],"convergence":[36],"scheme":[41],"with":[42,74],"different":[43],"in":[46],"fluid":[47],"porous":[49],"subregions.":[50],"Finally,":[51],"series":[53],"numerical":[55],"experiments":[56],"are":[57],"provided":[58],"to":[59],"illustrate":[60],"accuracy,":[62],"efficiency,":[63],"presented":[68],"method":[69],"coupled":[72],"Beavers\u2013Joseph\u2013Saffman\u2013Jones":[76],"interface":[77],"conditions.":[78]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
