{"id":"https://openalex.org/W2048993068","doi":"https://doi.org/10.1137/s0036142997329220","title":"The Mixed Mortar Finite Element Method for the Incompressible Stokes Problem: Convergence Analysis","display_name":"The Mixed Mortar Finite Element Method for the Incompressible Stokes Problem: Convergence Analysis","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2048993068","doi":"https://doi.org/10.1137/s0036142997329220","mag":"2048993068"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142997329220","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142997329220","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5111586176","display_name":"Faker Ben Belgacem","orcid":null},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Faker Ben Belgacem","raw_affiliation_strings":["Paul Sabatier University;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Paul Sabatier University;","institution_ids":["https://openalex.org/I134560555"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111586176"],"corresponding_institution_ids":["https://openalex.org/I134560555"],"apc_list":null,"apc_paid":null,"fwci":6.4165,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.96931698,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"37","issue":"4","first_page":"1085","last_page":"1100"},"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":0.9991000294685364,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9962999820709229,"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":0.7891585230827332},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7522909641265869},{"id":"https://openalex.org/keywords/stokes-problem","display_name":"Stokes problem","score":0.7145323157310486},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6563358902931213},{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.6219748854637146},{"id":"https://openalex.org/keywords/mortar","display_name":"Mortar","score":0.532405436038971},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4955936670303345},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.4814445376396179},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4713786542415619},{"id":"https://openalex.org/keywords/extended-finite-element-method","display_name":"Extended finite element method","score":0.4144664406776428},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3596632480621338},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.14235898852348328},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.09616214036941528},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08778366446495056}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7891585230827332},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7522909641265869},{"id":"https://openalex.org/C2780355006","wikidata":"https://www.wikidata.org/wiki/Q30715867","display_name":"Stokes problem","level":3,"score":0.7145323157310486},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6563358902931213},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6219748854637146},{"id":"https://openalex.org/C130767629","wikidata":"https://www.wikidata.org/wiki/Q7905205","display_name":"Mortar","level":2,"score":0.532405436038971},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4955936670303345},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.4814445376396179},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4713786542415619},{"id":"https://openalex.org/C24810621","wikidata":"https://www.wikidata.org/wiki/Q3333647","display_name":"Extended finite element method","level":3,"score":0.4144664406776428},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3596632480621338},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.14235898852348328},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.09616214036941528},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08778366446495056},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0036142997329220","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142997329220","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W29124092","https://openalex.org/W87324914","https://openalex.org/W1500921805","https://openalex.org/W1512418819","https://openalex.org/W1524276732","https://openalex.org/W1565460255","https://openalex.org/W1586623601","https://openalex.org/W1674659126","https://openalex.org/W1708679080","https://openalex.org/W1852082788","https://openalex.org/W1988552931","https://openalex.org/W1989331860","https://openalex.org/W1990941154","https://openalex.org/W1991647816","https://openalex.org/W2017437995","https://openalex.org/W2031814661","https://openalex.org/W2039892436","https://openalex.org/W2041523977","https://openalex.org/W2044355921","https://openalex.org/W2045656285","https://openalex.org/W2056964686","https://openalex.org/W2077551664","https://openalex.org/W2090498027","https://openalex.org/W2464303547","https://openalex.org/W2464347658","https://openalex.org/W2615697569","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W1977906733","https://openalex.org/W1567939749","https://openalex.org/W2754378663","https://openalex.org/W2010821947","https://openalex.org/W4234008889","https://openalex.org/W1573186872","https://openalex.org/W2071722255","https://openalex.org/W2352023866","https://openalex.org/W2021654023","https://openalex.org/W149155873"],"abstract_inverted_index":{"Previous":[0,637],"article":[1,3,638,640],"Next":[2,639],"The":[4,182,208,498,1369],"Mixed":[5,644,788,948,1156],"Mortar":[6,879,949,1129,1155,1370],"Finite":[7,645,789,792,994,1157,1334,1371],"Element":[8,646,790,950,954,995,1158,1335,1372],"Method":[9,914,951,958,996,1236,1373],"for":[10,97,124,212,237,320,386,617,679,700,722,746,772,787,795,827,835,843,884,912,952,959,973,1002,1030,1079,1119,1153,1192,1240,1266,1286,1311,1321,1337,1347,1374,1405,1441,1463],"the":[11,32,49,128,353,433,476,505,551,613,932,960,1031,1124,1154,1241,1267],"Incompressible":[12,961,1004],"Stokes":[13,51,680,916,962,1033,1126,1242,1338],"Problem:":[14],"Convergence":[15],"AnalysisFaker":[16],"Ben":[17,19,180,202,228,255,1247,1380],"BelgacemFaker":[18],"Belgacemhttps://doi.org/10.1137/S0036142997329220PDFBibTexSections":[20],"ToolsAdd":[21],"to":[22,29,48,266,350,1056],"favoritesExport":[23],"CitationTrack":[24],"CitationsEmail":[25],"SectionsAboutAbstractOur":[26],"purpose":[27],"is":[28],"prove":[30],"that":[31],"mortar":[33,98,132,183,209,354,741,825,1080,1287,1307,1401],"element":[34,99,134,137,185,210,263,296,355,391,472,509,615,677,882,1026,1290,1403],"method,":[35,356],"using":[36,131],"local":[37,317],"compatible":[38],"mixed":[39,467,1268,1288],"finite":[40,133,184,214,295,324,390,415,471,508,614,632,881,1289,1402,1446],"elements,":[41,215,325],"provides":[42],"optimal":[43],"convergence":[44],"results":[45],"when":[46],"applied":[47],"incompressible":[50,836,1032],"equations.[1]":[52],"Yves":[53,85],"Achdou,":[54,86],",":[55,59,87,91,118,152,205,231,258,287,291,313,339,343,375,379,410,463,495,529,574,607],"Yvon":[56,88,292,376],"Maday":[57,89,341,377],"and":[58,90,117,135,151,204,230,257,290,297,312,322,342,378,389,409,436,462,469,494,502,528,555,573,606,657,686,732,753,791,807,857,870,955,1007,1027,1051,1062,1089,1133,1162,1221,1270,1384,1414,1443,1465],"Olof":[60,92],"Widlund,":[61,93],"M\u00e9thode":[62],"it\u00e9rative":[63],"de":[64,162,539,547,559,583],"sous\u2010structuration":[65],"pour":[66],"les":[67],"\u00e9l\u00e9ments":[68],"avec":[69],"joints,":[70],"C.":[71,310,337],"R.":[72,411,460,575],"Acad.":[73],"Sci.":[74,365],"Paris":[75],"S\u00e9r.":[76,452],"I":[77],"Math.,":[78,191,247,395],"322":[79],"(1996),":[80],"185\u2013190":[81],"96j:65137":[82],"Google":[83,175,177,199,252,283,371,458,488,490,520,522,524,567,569,594,596,598,600,602],"Scholar[2]":[84],"Iterative":[94],"substructuring":[95],"preconditioners":[96],"methods":[100,401,883,1029,1081],"in":[101,127,242,500,750,775,846,923,965,976,1082,1086,1184,1195,1223,1244,1313,1324,1352],"two":[102],"dimensions,":[103],"SIAM":[104,139,326,420,663,1013,1139,1168,1252,1390],"J.":[105,140,245,327,407,421,604],"Numer.":[106,141,190,246,328,394,422,621],"Anal.,":[107,142,329,423],"36":[108],"(1999),":[109,193],"551\u2013580":[110],"10.1137/S0036142997321005":[111],"99m:65233":[112],"LinkISIGoogle":[113,147,335,428],"Scholar[3]":[114],"Y.":[115,206,232,259,340,1385],"Achdou":[116],"O.":[119],"Pironneau,":[120],"A":[121,261,316,346,712,740,783,910,993,1116,1232,1342],"fast":[122],"solver":[123,1346],"Navier\u2010Stokes":[125],"equations":[126],"laminar":[129],"regime":[130],"boundary":[136],"methods,":[138,392,473],"32":[143],"(1995),":[144,170],"985\u20131016":[145],"96d:65164":[146],"Scholar[4]":[148],"Abdellatif":[149],"Agouzal":[150],"Jean\u2010Marie":[153],"Thomas,":[154],"Une":[155],"m\u00e9thode":[156],"d'\u00e9l\u00e9ments":[157],"finis":[158],"hybrides":[159],"en":[160],"d\u00e9composition":[161],"domaines,":[163],"RAIRO":[164,216],"Mod\u00e9l.":[165,217],"Math.":[166,218,302,360,512],"Anal.":[167,219],"Num\u00e9r.,":[168,220],"29":[169],"749\u2013764":[171],"96g:65115":[172],"CrossrefGoogle":[173,630],"Scholar[5]":[174],"Scholar[6]":[176],"Scholar[7]":[178],"Faker":[179],"Belgacem,":[181,1381],"method":[186,211,236,616,678,742,834,856,1265,1310,1404],"with":[187,904,918,935,985,1054,1128,1237,1275,1298,1361],"Lagrange":[188,444],"multipliers,":[189,445],"84":[192],"173\u2013197":[194],"10.1007/s002110050468":[195],"1730018":[196],"CrossrefISIGoogle":[197,225,281,308,405],"Scholar[8]":[198],"Scholar[9]":[200],"F.":[201,227,254,430,1160],"Belgacem":[203,229,256],"Maday,":[207,233,260,293],"three\u2010dimensional":[213],"31":[221],"(1997),":[222],"289\u2013302":[223],"98e:65107":[224],"Scholar[10]":[226],"Non\u2010conforming":[234],"spectral":[235,262,298,388,676],"second":[238],"order":[239],"elliptic":[240],"problems":[241,441,1312],"3D,":[243],"East\u2010West":[244],"1":[248,737,851,895,1113,1280,1420],"(1993),":[249],"235\u2013251":[250],"95k:65113":[251],"Scholar[11]":[253],"methodology":[264],"tuned":[265],"parallel":[267],"implementations,":[268],"Comput.":[269],"Methods":[270,622,647,699,731,749,774,794,845,1085,1194,1222,1323,1336],"Appl.":[271,393],"Mech.":[272],"Engrg.,":[273],"116":[274],"(1994),":[275],"59\u201367,":[276],"ICOSAHOM'92":[277],"(Montpellier,":[278],"1992)":[279],"95c:65195":[280],"Scholar[12]":[282],"Scholar[13]":[284],"Christine":[285,373],"Bernardi,":[286,338,374],"Na\u00efma":[288],"Debit":[289],"Coupling":[294],"methods:":[299],"first":[300],"results,":[301],"Comp.,":[303,513],"54":[304],"(1990),":[305,627],"21\u201339":[306],"90f:65201":[307],"Scholar[14]":[309],"Bernardi":[311],"V.":[314,496],"Girault,":[315],"regularization":[318],"operator":[319],"triangular":[321],"quadrilateral":[323],"35":[330],"(1998),":[331],"1893\u20131916":[332],"10.1137/S0036142995293766":[333],"99g:65107":[334],"Scholar[15]":[336],"A.":[344,1382],"Patera,":[345],"new":[347],"nonconforming":[348,675],"approach":[349,826],"domain":[351,1284,1308],"decomposition:":[352],"Pitman":[357],"Res.":[358],"Notes":[359],"Ser.,":[361],"Vol.":[362,483,561,668,689,706,734,755,777,818,848,873,892,925,942,967,987,1018,1037,1072,1091,1110,1144,1173,1197,1226,1257,1277,1300,1326,1363,1395,1417],"299,":[363],"Longman":[364],"Tech.,":[366],"Harlow,":[367],"1994,":[368],"13\u201351":[369],"95a:65201":[370],"Scholar[16]":[372],"Giovanni":[380],"Sacchi":[381],"Landriani,":[382],"Nonconforming":[383,715],"matching":[384],"conditions":[385],"coupling":[387],"6":[396,626],"(1989/90),":[397],"65\u201384,":[398],"Spectral":[399],"multi\u2010domain":[400],"(Paris,":[402],"1988)":[403],"91d:65165":[404],"Scholar[17]":[406],"Boland":[408,605],"Nicolaides,":[412],"Stability":[413,759],"of":[414,438,475,504,550,553,557,612,674,761,860,900,915,931,1024,1046,1107,1123,1350],"elements":[416],"under":[417],"divergence":[418],"constraints,":[419],"20":[424],"(1983),":[425],"722\u2013731":[426],"85e:65046":[427],"Scholar[18]":[429],"Brezzi,":[431],"On":[432],"existence,":[434],"uniqueness":[435],"approximation":[437],"saddle":[439],"point":[440,634,1448],"arising":[442],"from":[443],"Rev.":[446],"Francaise":[447],"Automat.":[448],"Informat.":[449],"Recherche":[450],"Op\u00e9rationnelle":[451],"Rouge,":[453],"8":[454,1366],"(1974),":[455],"pp.":[456],"129\u2013151.":[457],"Scholar[19]":[459],"Hoppe":[461],"B.":[464,805],"Wohlmuth,":[465],"Adaptive":[466],"hybrid":[468],"macro\u2010hybrid":[470],"Proceedings":[474],"Algoritmy'97":[477],"Conference":[478],"on":[479,648,665,718,744,815,998,1015,1141,1170,1254,1392,1429],"Scientific":[480,1142],"Computing":[481,1045],"(Zuberec),":[482],"67,":[484],"1998,":[485],"159\u2013179":[486],"2000a:65161":[487],"Scholar[20]":[489],"Scholar[21]":[491],"M.":[492,651],"Crouzeix":[493],"Thom\u00e9e,":[497],"stability":[499],"Lp":[501],"Wp1":[503],"L2\u2010projection":[506],"onto":[507],"function":[510],"spaces,":[511],"48":[514],"(1987),":[515],"521\u2013532":[516],"88f:41016":[517],"ISIGoogle":[518],"Scholar[22]":[519],"Scholar[23]":[521],"Scholar[24]":[523],"Scholar[25]":[525],"Gene":[526],"Golub":[527],"G\u00e9rard":[530],"Meurant,":[531],"R\u00e9solution":[532],"num\u00e9rique":[533,578],"des":[534,542],"grands":[535],"syst\u00e8mes":[536],"lin\u00e9aires,":[537],"Collection":[538],"la":[540],"Direction":[541],"\u00c9tudes":[543],"et":[544],"Recherches":[545],"d'\u00c9lectricit\u00e9":[546],"France":[548],"[Collection":[549],"Department":[552],"Studies":[554],"Research":[556],"\u00c9lectricit\u00e9":[558],"France],":[560],"49,":[562],"\u00c9ditions":[563],"Eyrolles,":[564],"1983x+329":[565],"86b:65002":[566],"Scholar[26]":[568],"Scholar[27]":[570],"P.":[571],"Lascaux":[572],"Th\u00e9odor,":[576],"Analyse":[577],"matricielle":[579],"appliqu\u00e9e":[580],"\u00e0":[581],"l'art":[582],"l'ing\u00e9nieur.":[584],"Tome":[585],"1,":[586],"Masson,":[587],"1993xxiv+327,":[588],"M\u00e9todes":[589],"directes.":[590],"[Direct":[591],"methods]":[592],"94d:65004":[593],"Scholar[28]":[595],"Scholar[29]":[597],"Scholar[30]":[599],"Scholar[31]":[601],"Scholar[32]":[603],"W.":[608],"Layton,":[609],"An":[610],"analysis":[611,760,859],"natural":[618],"convection":[619],"problems,":[620],"Partial":[623],"Differential":[624],"Equations,":[625],"115\u2013126":[628],"92c:65123":[629],"ScholarKeywordsmortar":[631],"elementssaddle":[633,1447],"probleminf-sup":[635,1449],"condition.":[636],"FiguresRelatedReferencesCited":[641],"byDetails":[642],"Flux-Mortar":[643],"NonMatching":[649],"GridsWietse":[650],"Boon,":[652],"Dennis":[653],"Gl\u00e4ser,":[654],"Rainer":[655],"Helmig,":[656],"Ivan":[658,1163],"Yotov31":[659],"May":[660,838],"2022":[661,683],"|":[662,684,704,727,769,812,840,867,889,981,1012,1067,1138,1167,1189,1218,1251,1294,1318,1357,1389,1410],"Journal":[664,771,814,842,1014,1140,1169,1191,1253,1320,1391,1428],"Numerical":[666,728,773,844,898,929,982,1016,1035,1171,1193,1255,1295,1322,1358,1393,1415,1430],"Analysis,":[667,1017,1172,1256,1394,1416],"60,":[669],"No.":[670,691,708,736,779,820,850,875,894,944,989,1020,1039,1074,1093,1112,1146,1175,1199,1228,1259,1279,1302,1328,1365,1397,1419],"3AbstractPDF":[671,1147,1176,1398],"(2875":[672],"KB)Performance":[673],"problems28":[681],"April":[682,1408],"Computational":[685,868,1108],"Applied":[687,751,1087,1224,1444,1466],"Mathematics,":[688,705,1036],"41,":[690],"4":[692],"Cross":[693,710,738,757,781,852,877,896,908,927,946,969,991,1041,1095,1114,1201,1230,1281,1304,1330,1340,1367,1421],"Ref":[694,711,739,758,782,853,878,897,909,928,947,970,992,1042,1096,1115,1202,1231,1282,1305,1331,1341,1368,1422],"About":[695],"Revisiting":[696],"Domain":[697,854,1234],"Decomposition":[698,1235],"Poroelasticity2":[701],"October":[702],"2018":[703],"6,":[707,943,1073],"10":[709],"Uniformly":[713],"Stable":[714],"FEM":[716],"Based":[717,997],"Weighted":[719,999],"Interior":[720,1000],"Penalties":[721,1001],"Darcy-Stokes-Brinkman":[723],"Equations20":[724],"February":[725,810],"2017":[726],"Mathematics:":[729],"Theory,":[730],"Applications,":[733,986,1276,1299,1362],"10,":[735,1301],"based":[743],"NURBS":[745],"curved":[747,937],"interfacesComputer":[748],"Mechanics":[752,1088],"Engineering,":[754,924,966,1090,1196],"310":[756],"a":[762,800,831,861,901,905,936,1120],"polymer":[763],"film":[764],"casting":[765],"problem11":[766],"March":[767,1065],"2015":[768,811],"International":[770,841,1190,1319],"Fluids,":[776,847,1325],"78,":[778],"7":[780],"Posteriori":[784,1150],"Error":[785,1151],"Estimates":[786,1152],"Volume":[793,1423],"Parabolic":[796],"Problems":[797,922,964,1339],"Coupled":[798],"through":[799],"BoundaryT.":[801],"Arbogast,":[802],"D.":[803],"Estep,":[804],"Sheehan,":[806],"S.":[808],"Tavener26":[809],"SIAM/ASA":[813],"Uncertainty":[816],"Quantification,":[817],"3,":[819],"1AbstractPDF":[821,1075],"(637":[822],"KB)A":[823,1149],"dual":[824],"mesh":[828],"tying":[829],"within":[830],"variational":[832],"multiscale":[833,880,974],"flow20":[837],"2014":[839,866],"76,":[849],"decomposition":[855,1285,1309],"numerical":[858],"fluid":[862,1104,1314],"dynamics":[863,1105],"problem12":[864],"September":[865,887,979],"Mathematics":[869,1274,1467],"Mathematical":[871,1219,1412],"Physics,":[872,1109],"54,":[874],"9":[876],"Stokes\u2013Darcy":[885],"flows29":[886],"2013":[888,926],"Numerische":[890],"Mathematik,":[891],"127,":[893],"Analysis":[899,1431],"Hydrodynamics":[902],"Problem":[903,917,1127,1243],"Curved":[906],"Interface":[907],"Preconditioner":[911,1118],"FETI-DP":[913,1121],"Mortar-Type":[919],"CR(h)-P0(h)":[920],"DiscretizationMathematical":[921],"solution":[930],"hydrodynamics":[933],"problem":[934],"interphase":[938],"boundaryComputational":[939],"Continuum":[940],"Mechanics,":[941],"3":[945],"P1NC/P0":[953],"Its":[956],"Multigrid":[957],"ProblemMathematical":[963],"2012":[968],"Efficient":[971],"algorithms":[972],"modeling":[975],"porous":[977,1353],"media26":[978],"2010":[980],"Linear":[983,1296,1359],"Algebra":[984,1297,1360],"17,":[988],"5":[990],"Heterogeneous":[1003],"FlowsCarlo":[1005],"D'Angelo":[1006],"Paolo":[1008],"Zunino23":[1009],"December":[1010],"2009":[1011],"47,":[1019],"5AbstractPDF":[1021],"(461":[1022],"KB)Analysis":[1023],"mortar-type":[1025],"multigrid":[1028],"problemApplied":[1034],"57,":[1038],"5-7":[1040],"Concurrent":[1043],"Multiscale":[1044,1068],"Deformation":[1047],"Microstructure":[1048],"by":[1049],"Relaxation":[1050],"Local":[1052],"Enrichment":[1053],"Application":[1055],"Single\u2010Crystal":[1057],"PlasticitySergio":[1058],"Conti,":[1059],"Patrice":[1060],"Hauret,":[1061],"Michael":[1063],"Ortiz22":[1064],"2007":[1066],"Modeling":[1069],"&":[1070,1273,1454],"Simulation,":[1071],"(1243":[1076],"KB)BV":[1077],"estimates":[1078],"linear":[1083],"elasticityComputer":[1084],"195,":[1092],"37-40":[1094],"Geophysical\u2013astrophysical":[1097],"spectral-element":[1098],"adaptive":[1099],"refinement":[1100],"(GASpAR):":[1101],"Object-oriented":[1102],"h-adaptive":[1103],"simulationJournal":[1106],"215,":[1111],"Neumann--Dirichlet":[1117],"Formulation":[1122],"Two-Dimensional":[1125],"MethodsHyea":[1130],"Hyun":[1131],"Kim":[1132],"Chang-Ock":[1134],"Lee4":[1135],"August":[1136],"2006":[1137,1166,1250,1388,1436],"Computing,":[1143],"28,":[1145],"(212":[1148],"MethodMary":[1159],"Wheeler":[1161],"Yotov25":[1164],"July":[1165,1249,1387,1435],"43,":[1174],"(660":[1177],"KB)Common-refinement-based":[1178],"data":[1179],"transfer":[1180],"between":[1181],"non-matching":[1182],"meshes":[1183],"multiphysics":[1185,1348],"simulations1":[1186],"January":[1187,1292,1316,1355],"2004":[1188],"61,":[1198],"14":[1200],"MORTARING":[1203],"THE":[1204,1210],"TWO-DIMENSIONAL":[1205],"EDGE":[1206],"FINITE":[1207],"ELEMENTS":[1208],"FOR":[1209],"DISCRETIZATION":[1211],"OF":[1212],"SOME":[1213],"ELECTROMAGNETIC":[1214],"MODELS21":[1215],"November":[1216],"2011":[1217],"Models":[1220],"Sciences,":[1225],"14,":[1227],"11":[1229],"Stabilized":[1233],"Nonmatching":[1238],"Grids":[1239],"Three":[1245],"DimensionsFaker":[1246],"Belgacem25":[1248],"42,":[1258],"2AbstractPDF":[1260],"(225":[1261],"KB)The":[1262,1400],"hp-mortar":[1263],"finite-element":[1264],"elasticity":[1269],"stokes":[1271],"problemsComputers":[1272],"46,":[1278],"Balancing":[1283],"methods1":[1291],"2002":[1293,1317,1409],"1-2":[1303],"Thehp":[1306],"mechanics1":[1315],"40,":[1327],"12":[1329],"Non-Conforming":[1332],"hp":[1333],"multilevel":[1343],"Newton-Krylov":[1344],"interface":[1345],"couplings":[1349],"flow":[1351],"media1":[1354],"2001":[1356],"8,":[1364],"3D":[1375],"Maxwell":[1376],"Equations:":[1377],"First":[1378],"ResultsF.":[1379],"Buffa,":[1383],"Maday26":[1386],"39,":[1396],"(246":[1399],"Bingham":[1406],"fluids15":[1407],"ESAIM:":[1411],"Modelling":[1413],"35,":[1418],"37,":[1424],"Issue":[1425],"4|":[1426],"2000SIAM":[1427],"History":[1432],"Published":[1433],"online:25":[1434],"InformationCopyright":[1437],"\u00a9":[1438],"2000":[1439],"Society":[1440],"Industrial":[1442,1464],"MathematicsKeywordsmortar":[1445],"condition.MSC":[1450],"codes65N3065N55PDF":[1451],"Download":[1452],"Article":[1453],"Publication":[1455],"DataArticle":[1456],"DOI:10.1137/S0036142997329220Article":[1457],"page":[1458],"range:pp.":[1459],"1085-1100ISSN":[1460],"(print):0036-1429ISSN":[1461],"(online):1095-7170Publisher:Society":[1462]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}