{"id":"https://openalex.org/W2049007985","doi":"https://doi.org/10.1137/030601119","title":"A Neumann--Dirichlet Preconditioner for a FETI-DP Formulation of the Two-Dimensional Stokes Problem with Mortar Methods","display_name":"A Neumann--Dirichlet Preconditioner for a FETI-DP Formulation of the Two-Dimensional Stokes Problem with Mortar Methods","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2049007985","doi":"https://doi.org/10.1137/030601119","mag":"2049007985"},"language":"en","primary_location":{"id":"doi:10.1137/030601119","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030601119","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014549236","display_name":"Hyea Hyun Kim","orcid":"https://orcid.org/0000-0001-7978-5602"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hyea Hyun Kim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5078348018","display_name":"Chang-Ock Lee","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chang-Ock Lee","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2748,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.79994933,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"28","issue":"3","first_page":"1133","last_page":"1152"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10514","display_name":"Numerical methods in engineering","score":0.9939000010490417,"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/preconditioner","display_name":"Preconditioner","score":0.9028732776641846},{"id":"https://openalex.org/keywords/mortar-methods","display_name":"Mortar methods","score":0.8328605890274048},{"id":"https://openalex.org/keywords/feti","display_name":"FETI","score":0.8076629638671875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7828301191329956},{"id":"https://openalex.org/keywords/dirichlet-problem","display_name":"Dirichlet problem","score":0.5413299798965454},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.5391694903373718},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5147302150726318},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.48301634192466736},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.47040802240371704},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.46122628450393677},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4578837454319},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.45218273997306824},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35378438234329224},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.1930100917816162},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.17628240585327148},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.15103429555892944},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06747817993164062},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.062403738498687744}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9028732776641846},{"id":"https://openalex.org/C97110765","wikidata":"https://www.wikidata.org/wiki/Q17099078","display_name":"Mortar methods","level":4,"score":0.8328605890274048},{"id":"https://openalex.org/C171609451","wikidata":"https://www.wikidata.org/wiki/Q5425382","display_name":"FETI","level":4,"score":0.8076629638671875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7828301191329956},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.5413299798965454},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.5391694903373718},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5147302150726318},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.48301634192466736},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.47040802240371704},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.46122628450393677},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4578837454319},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.45218273997306824},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35378438234329224},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.1930100917816162},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.17628240585327148},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.15103429555892944},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06747817993164062},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.062403738498687744},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/030601119","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030601119","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7099999785423279}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1540940579","https://openalex.org/W1545082185","https://openalex.org/W1595782612","https://openalex.org/W1971812145","https://openalex.org/W1991647816","https://openalex.org/W2005390260","https://openalex.org/W2012938047","https://openalex.org/W2039069103","https://openalex.org/W2042248875","https://openalex.org/W2048993068","https://openalex.org/W2050222014","https://openalex.org/W2051259409","https://openalex.org/W2081624895","https://openalex.org/W2088975304","https://openalex.org/W2090498027","https://openalex.org/W2484349250","https://openalex.org/W2568960970","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W2084064164","https://openalex.org/W2074745806","https://openalex.org/W2064696156","https://openalex.org/W2008273138","https://openalex.org/W1607555627","https://openalex.org/W2092836554","https://openalex.org/W170868261","https://openalex.org/W2077112581","https://openalex.org/W1556947324","https://openalex.org/W286248473"],"abstract_inverted_index":{"A":[0,64],"FETI-DP":[1,62],"(dual-primal":[2],"finite":[3],"element":[4],"tearing":[5],"and":[6,29,57,88,94,99,110],"interconnecting)":[7],"formulation":[8],"for":[9,25],"the":[10,30,36,91,95,100,106],"two-dimensional":[11],"Stokes":[12,54],"problem":[13,55],"with":[14],"mortar":[15,31],"methods":[16],"is":[17,67,103],"considered.":[18],"Separate":[19],"sets":[20],"of":[21,105],"unknowns":[22,38],"are":[23,33,46,90],"used":[24],"velocity":[26,37],"on":[27,35,44],"interfaces,":[28],"constraints":[32,43,51],"enforced":[34],"by":[39],"Lagrange":[40],"multipliers.":[41],"Average":[42],"edges":[45],"further":[47],"introduced":[48],"as":[49],"primal":[50],"to":[52,58,69],"solvethe":[53],"correctly":[56],"obtain":[59],"a":[60,71],"scalable":[61],"algorithm.":[63],"Neumann--Dirichlet":[65],"preconditioner":[66],"shown":[68],"give":[70],"condition":[72],"number":[73],"bound,":[74],"C":[75,102],"maxi":[76],"=":[77],"1,...,N":[78],"{(1":[79],"+":[80],"log(":[81],"Hi":[82,87,109],"/":[83],"hi":[84,89,111],"))2},":[85],"where":[86],"subdomain":[92],"size":[93],"mesh":[96,107],"size,":[97],"respectively,":[98],"constant":[101],"independent":[104],"parameters":[108],".":[112]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}