{"id":"https://openalex.org/W3207162446","doi":"https://doi.org/10.1137/21m1452974","title":"Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form","display_name":"Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form","publication_year":2022,"publication_date":"2022-08-01","ids":{"openalex":"https://openalex.org/W3207162446","doi":"https://doi.org/10.1137/21m1452974","mag":"3207162446"},"language":"en","primary_location":{"id":"doi:10.1137/21m1452974","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1452974","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://hdl.handle.net/11250/3060379","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065838227","display_name":"Wietse M. Boon","orcid":"https://orcid.org/0000-0003-4080-2369"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wietse M. Boon","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4080-2369","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031830539","display_name":"Timo Koch","orcid":"https://orcid.org/0000-0003-4776-5222"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Timo Koch","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016215112","display_name":"Miroslav Kuchta","orcid":"https://orcid.org/0000-0002-3832-0988"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Miroslav Kuchta","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-3832-0988","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5016096840","display_name":"Kent\u2010Andr\u00e9 Mardal","orcid":"https://orcid.org/0000-0002-4946-1110"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kent-Andr\u00e9 Mardal","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-4946-1110","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8268,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.81687536,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"44","issue":"4","first_page":"B1148","last_page":"B1174"},"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":0.9994999766349792,"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":0.998199999332428,"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/mathematics","display_name":"Mathematics","score":0.8056590557098389},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7151460647583008},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6485854387283325},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5764479041099548},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.5579802989959717},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.5042542219161987},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.4866262376308441},{"id":"https://openalex.org/keywords/darcy\u2013weisbach-equation","display_name":"Darcy\u2013Weisbach equation","score":0.4763603210449219},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.4634105861186981},{"id":"https://openalex.org/keywords/darcys-law","display_name":"Darcy's law","score":0.4630918800830841},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41622811555862427},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3604286015033722},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1216004490852356},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.09356245398521423},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.07850739359855652}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8056590557098389},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7151460647583008},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6485854387283325},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5764479041099548},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.5579802989959717},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.5042542219161987},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.4866262376308441},{"id":"https://openalex.org/C181757486","wikidata":"https://www.wikidata.org/wiki/Q1142285","display_name":"Darcy\u2013Weisbach equation","level":4,"score":0.4763603210449219},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.4634105861186981},{"id":"https://openalex.org/C183447037","wikidata":"https://www.wikidata.org/wiki/Q392416","display_name":"Darcy's law","level":4,"score":0.4630918800830841},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41622811555862427},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3604286015033722},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1216004490852356},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.09356245398521423},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.07850739359855652},{"id":"https://openalex.org/C6648577","wikidata":"https://www.wikidata.org/wiki/Q622669","display_name":"Porosity","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/21m1452974","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1452974","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:bora.uib.no:11250/3060379","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/3060379","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"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 Review","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:bora.uib.no:11250/3060379","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/3060379","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"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 Review","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G16099854","display_name":null,"funder_award_id":"301013","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G1672327233","display_name":null,"funder_award_id":"300305","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"},{"id":"https://openalex.org/G4094554308","display_name":"SCIENTIA-FELLOWS II: International Postdoctoral Fellowship Programme","funder_award_id":"801133","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"},{"id":"https://openalex.org/G4292192570","display_name":null,"funder_award_id":"303362","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"}],"funders":[{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":71,"referenced_works":["https://openalex.org/W18063129","https://openalex.org/W131637262","https://openalex.org/W560409768","https://openalex.org/W1525132831","https://openalex.org/W1601728065","https://openalex.org/W1885432257","https://openalex.org/W1966158133","https://openalex.org/W1974112851","https://openalex.org/W1979821272","https://openalex.org/W1980053021","https://openalex.org/W1989528249","https://openalex.org/W1992274274","https://openalex.org/W2011655084","https://openalex.org/W2014987689","https://openalex.org/W2015526039","https://openalex.org/W2022852340","https://openalex.org/W2027509489","https://openalex.org/W2032214238","https://openalex.org/W2041589227","https://openalex.org/W2050206349","https://openalex.org/W2051917325","https://openalex.org/W2052683789","https://openalex.org/W2053310361","https://openalex.org/W2054058803","https://openalex.org/W2055116131","https://openalex.org/W2055962135","https://openalex.org/W2057715207","https://openalex.org/W2060237956","https://openalex.org/W2068259126","https://openalex.org/W2070299075","https://openalex.org/W2075237894","https://openalex.org/W2077661108","https://openalex.org/W2099150268","https://openalex.org/W2100969493","https://openalex.org/W2102635728","https://openalex.org/W2126502713","https://openalex.org/W2149671131","https://openalex.org/W2156248876","https://openalex.org/W2189384559","https://openalex.org/W2288526001","https://openalex.org/W2400764088","https://openalex.org/W2475116443","https://openalex.org/W2533536025","https://openalex.org/W2607483978","https://openalex.org/W2747884879","https://openalex.org/W2754359436","https://openalex.org/W2762583146","https://openalex.org/W2767876175","https://openalex.org/W2791842665","https://openalex.org/W2905613938","https://openalex.org/W2911731911","https://openalex.org/W2913801611","https://openalex.org/W2929316014","https://openalex.org/W2963277628","https://openalex.org/W2996359718","https://openalex.org/W2998254211","https://openalex.org/W3000473367","https://openalex.org/W3012213980","https://openalex.org/W3016323595","https://openalex.org/W3020919452","https://openalex.org/W3041272759","https://openalex.org/W3042412597","https://openalex.org/W3044432377","https://openalex.org/W3099792816","https://openalex.org/W3100155490","https://openalex.org/W3112398217","https://openalex.org/W3138577031","https://openalex.org/W3160775173","https://openalex.org/W3168713754","https://openalex.org/W3171161800","https://openalex.org/W3190656104"],"related_works":["https://openalex.org/W2004848415","https://openalex.org/W2966496118","https://openalex.org/W2965051447","https://openalex.org/W3186929630","https://openalex.org/W2035127243","https://openalex.org/W2093881578","https://openalex.org/W2093308788","https://openalex.org/W2052683789","https://openalex.org/W128883980","https://openalex.org/W2963954778"],"abstract_inverted_index":{"We":[0],"construct":[1],"mesh-independent":[2],"and":[3,16,23,28],"parameter-robust":[4],"monolithic":[5],"solvers":[6],"for":[7],"the":[8,48,60,63],"coupled":[9],"primal":[10],"Stokes--Darcy":[11],"problem.":[12],"Three":[13],"different":[14],"formulations":[15],"their":[17],"discretizations":[18],"in":[19,53],"terms":[20],"of":[21,62],"conforming":[22],"nonconforming":[24],"finite":[25,29],"element":[26],"methods":[27,31],"volume":[30],"are":[32,39],"considered.":[33],"In":[34,46],"each":[35],"case,":[36],"robust":[37],"preconditioners":[38,50],"derived":[40],"using":[41],"a":[42],"unified":[43],"theoretical":[44],"framework.":[45],"particular,":[47],"suggested":[49],"utilize":[51],"operators":[52],"fractional":[54],"Sobolev":[55],"spaces.":[56],"Numerical":[57],"experiments":[58],"demonstrate":[59],"parameter-robustness":[61],"proposed":[64],"solvers.":[65]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
