{"id":"https://openalex.org/W2011966235","doi":"https://doi.org/10.1007/s00211-011-0361-8","title":"Robin\u2013Robin domain decomposition methods for the steady-state Stokes\u2013Darcy system with the Beavers\u2013Joseph interface condition","display_name":"Robin\u2013Robin domain decomposition methods for the steady-state Stokes\u2013Darcy system with the Beavers\u2013Joseph interface condition","publication_year":2011,"publication_date":"2011-03-01","ids":{"openalex":"https://openalex.org/W2011966235","doi":"https://doi.org/10.1007/s00211-011-0361-8","mag":"2011966235"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-011-0361-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-011-0361-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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/A5030053679","display_name":"Yanzhao Cao","orcid":"https://orcid.org/0000-0003-2310-3435"},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yanzhao Cao","raw_affiliation_strings":["Department of Mathematics and Statistics, Auburn University, Auburn, AL, 36830, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Auburn University, Auburn, AL, 36830, USA","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076283476","display_name":"Max Gunzburger","orcid":"https://orcid.org/0000-0003-0921-9079"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Max Gunzburger","raw_affiliation_strings":["Department of Scientific Computing, Florida State University, Tallahassee, FL, 32306-4120, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Scientific Computing, Florida State University, Tallahassee, FL, 32306-4120, USA","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041708794","display_name":"Xiaoming He","orcid":"https://orcid.org/0000-0003-1270-4972"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]},{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiaoming He","raw_affiliation_strings":["Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO, 65409, USA","Department of Scientific Computing, Florida State University, Tallahassee, FL, 32306-4120, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO, 65409, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"Department of Scientific Computing, Florida State University, Tallahassee, FL, 32306-4120, USA","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100701456","display_name":"Xiaoming Wang","orcid":"https://orcid.org/0000-0002-2399-6336"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaoming Wang","raw_affiliation_strings":["Department of Mathematics, Florida State University, Tallahassee, FL, 32306, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Florida State University, Tallahassee, FL, 32306, USA","institution_ids":["https://openalex.org/I103163165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5041708794"],"corresponding_institution_ids":["https://openalex.org/I103163165","https://openalex.org/I20382870"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":8.1041,"has_fulltext":false,"cited_by_count":140,"citation_normalized_percentile":{"value":0.97964842,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"117","issue":"4","first_page":"601","last_page":"629"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9973000288009644,"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/T10514","display_name":"Numerical methods in engineering","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.8594797849655151},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7091440558433533},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6209417581558228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5997159481048584},{"id":"https://openalex.org/keywords/stokes-flow","display_name":"Stokes flow","score":0.5169169902801514},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.48033109307289124},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.452677458524704},{"id":"https://openalex.org/keywords/robin-boundary-condition","display_name":"Robin boundary condition","score":0.43268948793411255},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4310382306575775},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4211091101169586},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36981990933418274},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3653191328048706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2630307078361511},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21697956323623657},{"id":"https://openalex.org/keywords/free-boundary-problem","display_name":"Free boundary problem","score":0.10845303535461426},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.10568884015083313},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.0941927433013916},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08406063914299011},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.06675773859024048}],"concepts":[{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.8594797849655151},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7091440558433533},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6209417581558228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5997159481048584},{"id":"https://openalex.org/C19191322","wikidata":"https://www.wikidata.org/wiki/Q674202","display_name":"Stokes flow","level":3,"score":0.5169169902801514},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.48033109307289124},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.452677458524704},{"id":"https://openalex.org/C108257041","wikidata":"https://www.wikidata.org/wiki/Q748993","display_name":"Robin boundary condition","level":4,"score":0.43268948793411255},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4310382306575775},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4211091101169586},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36981990933418274},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3653191328048706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2630307078361511},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21697956323623657},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.10845303535461426},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.10568884015083313},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0941927433013916},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08406063914299011},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.06675773859024048},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","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/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-011-0361-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-011-0361-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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":72,"referenced_works":["https://openalex.org/W51818745","https://openalex.org/W131637262","https://openalex.org/W985410373","https://openalex.org/W1481010583","https://openalex.org/W1582756069","https://openalex.org/W1968426797","https://openalex.org/W1972251063","https://openalex.org/W1974579878","https://openalex.org/W1975072400","https://openalex.org/W1988570599","https://openalex.org/W1992274274","https://openalex.org/W1992753787","https://openalex.org/W1994687997","https://openalex.org/W2000582360","https://openalex.org/W2001118081","https://openalex.org/W2008633979","https://openalex.org/W2008637421","https://openalex.org/W2009712681","https://openalex.org/W2012201881","https://openalex.org/W2015526039","https://openalex.org/W2020754156","https://openalex.org/W2027509489","https://openalex.org/W2031323036","https://openalex.org/W2032214238","https://openalex.org/W2032246227","https://openalex.org/W2041589227","https://openalex.org/W2042248875","https://openalex.org/W2046224732","https://openalex.org/W2047094005","https://openalex.org/W2051314355","https://openalex.org/W2052547118","https://openalex.org/W2052683789","https://openalex.org/W2057715207","https://openalex.org/W2057858884","https://openalex.org/W2058339183","https://openalex.org/W2060237956","https://openalex.org/W2061391294","https://openalex.org/W2067837613","https://openalex.org/W2068259126","https://openalex.org/W2068458187","https://openalex.org/W2069052480","https://openalex.org/W2077271644","https://openalex.org/W2077661108","https://openalex.org/W2085797730","https://openalex.org/W2086060865","https://openalex.org/W2088754567","https://openalex.org/W2090560727","https://openalex.org/W2092168430","https://openalex.org/W2096410586","https://openalex.org/W2097116154","https://openalex.org/W2099150268","https://openalex.org/W2100969493","https://openalex.org/W2103143063","https://openalex.org/W2113267855","https://openalex.org/W2116226692","https://openalex.org/W2119134040","https://openalex.org/W2127731585","https://openalex.org/W2132648167","https://openalex.org/W2134200796","https://openalex.org/W2145587238","https://openalex.org/W2149671131","https://openalex.org/W2152169625","https://openalex.org/W2155050433","https://openalex.org/W2156149812","https://openalex.org/W2159736212","https://openalex.org/W2171622994","https://openalex.org/W2607483978","https://openalex.org/W3044432377","https://openalex.org/W3146088224","https://openalex.org/W4232240772","https://openalex.org/W4285719527","https://openalex.org/W4297801015"],"related_works":["https://openalex.org/W3136311820","https://openalex.org/W1586418441","https://openalex.org/W2051259409","https://openalex.org/W1514481392","https://openalex.org/W1975751040","https://openalex.org/W2378263446","https://openalex.org/W1987517687","https://openalex.org/W1967691293","https://openalex.org/W2393913967","https://openalex.org/W2907804156"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
