{"id":"https://openalex.org/W2996916259","doi":"https://doi.org/10.1515/jnma-2018-0080","title":"A decoupled finite element method with diferent time steps for the nonstationary Darcy\u2013Brinkman problem","display_name":"A decoupled finite element method with diferent time steps for the nonstationary Darcy\u2013Brinkman problem","publication_year":2020,"publication_date":"2020-01-03","ids":{"openalex":"https://openalex.org/W2996916259","doi":"https://doi.org/10.1515/jnma-2018-0080","mag":"2996916259"},"language":"en","primary_location":{"id":"doi:10.1515/jnma-2018-0080","is_oa":false,"landing_page_url":"https://doi.org/10.1515/jnma-2018-0080","pdf_url":null,"source":{"id":"https://openalex.org/S60483245","display_name":"Journal of Numerical Mathematics","issn_l":"1569-3953","issn":["1569-3953","1570-2820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Numerical 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/A5023311311","display_name":"Cheng Liao","orcid":"https://orcid.org/0000-0002-1756-4182"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Liao","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P.R. China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002555958","display_name":"Pengzhan Huang","orcid":"https://orcid.org/0000-0002-2228-9111"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Pengzhan Huang","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P.R. China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100457891","display_name":"Yinnian He","orcid":"https://orcid.org/0000-0003-3402-8493"},"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":"Yinnian He","raw_affiliation_strings":["School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, P.R. China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, P.R. China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, P.R. China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002555958"],"corresponding_institution_ids":["https://openalex.org/I96908189"],"apc_list":null,"apc_paid":null,"fwci":1.0564,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.70913824,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"28","issue":"1","first_page":"33","last_page":"62"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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":0.9987000226974487,"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/finite-element-method","display_name":"Finite element method","score":0.7105464935302734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7028203010559082},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5201833248138428},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5067132115364075},{"id":"https://openalex.org/keywords/darcys-law","display_name":"Darcy's law","score":0.4719145596027374},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38176819682121277},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33526670932769775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17599591612815857},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.15337297320365906},{"id":"https://openalex.org/keywords/porosity","display_name":"Porosity","score":0.06633606553077698},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.05512991547584534},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05289274454116821}],"concepts":[{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7105464935302734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7028203010559082},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5201833248138428},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5067132115364075},{"id":"https://openalex.org/C183447037","wikidata":"https://www.wikidata.org/wiki/Q392416","display_name":"Darcy's law","level":4,"score":0.4719145596027374},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38176819682121277},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33526670932769775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17599591612815857},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.15337297320365906},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"score":0.06633606553077698},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.05512991547584534},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05289274454116821},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/jnma-2018-0080","is_oa":false,"landing_page_url":"https://doi.org/10.1515/jnma-2018-0080","pdf_url":null,"source":{"id":"https://openalex.org/S60483245","display_name":"Journal of Numerical Mathematics","issn_l":"1569-3953","issn":["1569-3953","1570-2820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Numerical Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W587919278","https://openalex.org/W1021132156","https://openalex.org/W1966518222","https://openalex.org/W1977864618","https://openalex.org/W1984652070","https://openalex.org/W1988512897","https://openalex.org/W1988650877","https://openalex.org/W1994606227","https://openalex.org/W2001140395","https://openalex.org/W2004107918","https://openalex.org/W2010895452","https://openalex.org/W2016466304","https://openalex.org/W2041108136","https://openalex.org/W2047042407","https://openalex.org/W2054029622","https://openalex.org/W2057180900","https://openalex.org/W2068403172","https://openalex.org/W2079293566","https://openalex.org/W2082187902","https://openalex.org/W2090444644","https://openalex.org/W2116708736","https://openalex.org/W2184879305","https://openalex.org/W2565339840","https://openalex.org/W2588681277","https://openalex.org/W2593219174","https://openalex.org/W2606900188","https://openalex.org/W2609712595","https://openalex.org/W2748256504","https://openalex.org/W2784697662","https://openalex.org/W2789354000","https://openalex.org/W2791163901","https://openalex.org/W2792749173","https://openalex.org/W2964054216"],"related_works":["https://openalex.org/W2055836843","https://openalex.org/W2755775996","https://openalex.org/W2773728674","https://openalex.org/W3131818128","https://openalex.org/W2069701013","https://openalex.org/W2366062865","https://openalex.org/W2390876504","https://openalex.org/W2095941963","https://openalex.org/W1997375727","https://openalex.org/W2047713241"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"decoupled":[2],"finite":[3],"element":[4],"method":[5,50],"with":[6,58],"different":[7],"time":[8,56],"steps":[9],"for":[10,21],"the":[11,22,25,40,43,48],"nonstationary":[12],"Darcy--Brinkman":[13],"problem":[14],"is":[15,46],"considered":[16],"in":[17],"this":[18],"paper.":[19],"Moreover,":[20],"presented":[23,49],"method,":[24],"stability":[26],"analysis":[27],"and":[28],"error":[29],"estimates":[30],"are":[31,36],"deduced.":[32],"Finally,":[33],"numerical":[34],"tests":[35],"provided":[37],"that":[38],"demonstrate":[39],"efficiency":[41],"of":[42,54],"method.":[44,61],"It":[45],"found":[47],"can":[51],"save":[52],"lots":[53],"computational":[55],"compared":[57],"standard":[59],"coupled":[60]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}