{"id":"https:\/\/openalex.org\/W1982832114","doi":"https:\/\/doi.org\/10.1137\/070691723","title":"Primal and Dual Interface Concentrated Iterative Substructuring Methods","display_name":"Primal and Dual Interface Concentrated Iterative Substructuring Methods","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https:\/\/openalex.org\/W1982832114","doi":"https:\/\/doi.org\/10.1137\/070691723","mag":"1982832114"},"language":"en","primary_location":{"id":"doi:10.1137\/070691723","is_oa":false,"landing_page_url":"https:\/\/doi.org\/10.1137\/070691723","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":true,"oa_status":"green","oa_url":"https:\/\/monarch.qucosa.de\/id\/qucosa%3A18836","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https:\/\/openalex.org\/A5047752883","display_name":"Sven Beuchler","orcid":"https:\/\/orcid.org\/0000-0001-9411-8701"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sven Beuchler","raw_affiliation_strings":["sven.beuchler@jku.at#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"sven.beuchler@jku.at#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https:\/\/openalex.org\/A5069924367","display_name":"Tino Eibner","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tino Eibner","raw_affiliation_strings":["tino.eibner@mathematik.tu-chemnitz.de#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"tino.eibner@mathematik.tu-chemnitz.de#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https:\/\/openalex.org\/A5058613122","display_name":"Ulrich Langer","orcid":"https:\/\/orcid.org\/0000-0003-3797-7475"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ulrich Langer","raw_affiliation_strings":["ulanger@numa.uni-linz.ac.at#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ulanger@numa.uni-linz.ac.at#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4335,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.88,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"46","issue":"6","first_page":"2818","last_page":"2842"},"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":0.9998999834060669,"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":0.9991999864578247,"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":0.8894185423851013},{"id":"https:\/\/openalex.org\/keywords\/finite-element-method","display_name":"Finite element method","score":0.7637104988098145},{"id":"https:\/\/openalex.org\/keywords\/mathematics","display_name":"Mathematics","score":0.7522993087768555},{"id":"https:\/\/openalex.org\/keywords\/discretization","display_name":"Discretization","score":0.6631559133529663},{"id":"https:\/\/openalex.org\/keywords\/mortar-methods","display_name":"Mortar methods","score":0.6086578965187073},{"id":"https:\/\/openalex.org\/keywords\/boundary","display_name":"Boundary (topology)","score":0.5058431625366211},{"id":"https:\/\/openalex.org\/keywords\/iterative-method","display_name":"Iterative method","score":0.4554824233055115},{"id":"https:\/\/openalex.org\/keywords\/boundary-value-problem","display_name":"Boundary value problem","score":0.45538783073425293},{"id":"https:\/\/openalex.org\/keywords\/condition-number","display_name":"Condition number","score":0.43384093046188354},{"id":"https:\/\/openalex.org\/keywords\/dimension","display_name":"Dimension (graph theory)","score":0.43079617619514465},{"id":"https:\/\/openalex.org\/keywords\/scaling","display_name":"Scaling","score":0.41230645775794983},{"id":"https:\/\/openalex.org\/keywords\/applied-mathematics","display_name":"Applied mathematics","score":0.4032774269580841},{"id":"https:\/\/openalex.org\/keywords\/mathematical-analysis","display_name":"Mathematical analysis","score":0.4024161994457245},{"id":"https:\/\/openalex.org\/keywords\/mathematical-optimization","display_name":"Mathematical optimization","score":0.27818286418914795},{"id":"https:\/\/openalex.org\/keywords\/geometry","display_name":"Geometry","score":0.2701963782310486},{"id":"https:\/\/openalex.org\/keywords\/combinatorics","display_name":"Combinatorics","score":0.12009042501449585},{"id":"https:\/\/openalex.org\/keywords\/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0651601254940033}],"concepts":[{"id":"https:\/\/openalex.org\/C198880260","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.8894185423851013},{"id":"https:\/\/openalex.org\/C135628077","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q220184","display_name":"Finite element method","level":2,"score":0.7637104988098145},{"id":"https:\/\/openalex.org\/C33923547","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q395","display_name":"Mathematics","level":0,"score":0.7522993087768555},{"id":"https:\/\/openalex.org\/C73000952","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q17007827","display_name":"Discretization","level":2,"score":0.6631559133529663},{"id":"https:\/\/openalex.org\/C97110765","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q17099078","display_name":"Mortar methods","level":4,"score":0.6086578965187073},{"id":"https:\/\/openalex.org\/C62354387","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5058431625366211},{"id":"https:\/\/openalex.org\/C159694833","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q2321565","display_name":"Iterative method","level":2,"score":0.4554824233055115},{"id":"https:\/\/openalex.org\/C182310444","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q1332643","display_name":"Boundary value problem","level":2,"score":0.45538783073425293},{"id":"https:\/\/openalex.org\/C84545080","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q1147936","display_name":"Condition number","level":3,"score":0.43384093046188354},{"id":"https:\/\/openalex.org\/C33676613","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.43079617619514465},{"id":"https:\/\/openalex.org\/C99844830","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q102441924","display_name":"Scaling","level":2,"score":0.41230645775794983},{"id":"https:\/\/openalex.org\/C28826006","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q33521","display_name":"Applied mathematics","level":1,"score":0.4032774269580841},{"id":"https:\/\/openalex.org\/C134306372","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4024161994457245},{"id":"https:\/\/openalex.org\/C126255220","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q141495","display_name":"Mathematical optimization","level":1,"score":0.27818286418914795},{"id":"https:\/\/openalex.org\/C2524010","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q8087","display_name":"Geometry","level":1,"score":0.2701963782310486},{"id":"https:\/\/openalex.org\/C114614502","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q76592","display_name":"Combinatorics","level":1,"score":0.12009042501449585},{"id":"https:\/\/openalex.org\/C158693339","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0651601254940033},{"id":"https:\/\/openalex.org\/C121332964","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q413","display_name":"Physics","level":0,"score":0},{"id":"https:\/\/openalex.org\/C62520636","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q944","display_name":"Quantum mechanics","level":1,"score":0},{"id":"https:\/\/openalex.org\/C97355855","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q11473","display_name":"Thermodynamics","level":1,"score":0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137\/070691723","is_oa":false,"landing_page_url":"https:\/\/doi.org\/10.1137\/070691723","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.643.1864","is_oa":false,"landing_page_url":"http:\/\/citeseerx.ist.psu.edu\/viewdoc\/summary?doi=10.1.1.643.1864","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http:\/\/www.tu-chemnitz.de\/mathematik\/csc\/2007\/csc07-04.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.828.7815","is_oa":false,"landing_page_url":"http:\/\/citeseerx.ist.psu.edu\/viewdoc\/summary?doi=10.1.1.828.7815","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https:\/\/www.ricam.oeaw.ac.at\/files\/reports\/07\/rep07-07.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.95.1228","is_oa":false,"landing_page_url":"http:\/\/citeseerx.ist.psu.edu\/viewdoc\/summary?doi=10.1.1.95.1228","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http:\/\/www.ricam.oeaw.ac.at\/publications\/reports\/07\/rep07-07.pdf","raw_type":"text"},{"id":"pmh:oai:qucosa.de:bsz:ch1-200701990","is_oa":false,"landing_page_url":"http:\/\/nbn-resolving.de\/urn:nbn:de:bsz:ch1-200701990","pdf_url":null,"source":{"id":"https:\/\/openalex.org\/S4306401906","display_name":" State and University Library Dresden (Saxon State Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https:\/\/openalex.org\/I3132420320","host_organization_name":"SLUB Dresden","host_organization_lineage":["https:\/\/openalex.org\/I3132420320"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"doc-type:preprint"},{"id":"pmh:oai:qucosa:de:qucosa:18836","is_oa":true,"landing_page_url":"https:\/\/monarch.qucosa.de\/id\/qucosa%3A18836","pdf_url":null,"source":{"id":"https:\/\/openalex.org\/S4377196435","display_name":"Qucosa (Saxon State and University Library Dresden)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https:\/\/openalex.org\/I3132420320","host_organization_name":"SLUB Dresden","host_organization_lineage":["https:\/\/openalex.org\/I3132420320"],"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":null,"raw_type":"info:eu-repo\/semantics\/preprint"}],"best_oa_location":{"id":"pmh:oai:qucosa:de:qucosa:18836","is_oa":true,"landing_page_url":"https:\/\/monarch.qucosa.de\/id\/qucosa%3A18836","pdf_url":null,"source":{"id":"https:\/\/openalex.org\/S4377196435","display_name":"Qucosa (Saxon State and University Library Dresden)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https:\/\/openalex.org\/I3132420320","host_organization_name":"SLUB Dresden","host_organization_lineage":["https:\/\/openalex.org\/I3132420320"],"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":null,"raw_type":"info:eu-repo\/semantics\/preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https:\/\/openalex.org\/W74859269","https:\/\/openalex.org\/W96933153","https:\/\/openalex.org\/W136882936","https:\/\/openalex.org\/W154172017","https:\/\/openalex.org\/W384695224","https:\/\/openalex.org\/W429163641","https:\/\/openalex.org\/W1506342804","https:\/\/openalex.org\/W1537070686","https:\/\/openalex.org\/W1546096735","https:\/\/openalex.org\/W1584308216","https:\/\/openalex.org\/W1604809219","https:\/\/openalex.org\/W1971853808","https:\/\/openalex.org\/W1988570599","https:\/\/openalex.org\/W1990531746","https:\/\/openalex.org\/W1992110290","https:\/\/openalex.org\/W2000867371","https:\/\/openalex.org\/W2002673363","https:\/\/openalex.org\/W2005390260","https:\/\/openalex.org\/W2010904078","https:\/\/openalex.org\/W2017392550","https:\/\/openalex.org\/W2018834578","https:\/\/openalex.org\/W2019341300","https:\/\/openalex.org\/W2024179839","https:\/\/openalex.org\/W2030580358","https:\/\/openalex.org\/W2030884284","https:\/\/openalex.org\/W2032397982","https:\/\/openalex.org\/W2041581089","https:\/\/openalex.org\/W2045877646","https:\/\/openalex.org\/W2055953382","https:\/\/openalex.org\/W2064307182","https:\/\/openalex.org\/W2077670970","https:\/\/openalex.org\/W2078843646","https:\/\/openalex.org\/W2082599981","https:\/\/openalex.org\/W2086291980","https:\/\/openalex.org\/W2088086049","https:\/\/openalex.org\/W2095294521","https:\/\/openalex.org\/W2095802860","https:\/\/openalex.org\/W2103486983","https:\/\/openalex.org\/W2124719768","https:\/\/openalex.org\/W2140639233","https:\/\/openalex.org\/W2148903532","https:\/\/openalex.org\/W2494779131","https:\/\/openalex.org\/W4232240772","https:\/\/openalex.org\/W4252037538"],"related_works":["https:\/\/openalex.org\/W2215799427","https:\/\/openalex.org\/W2156024331","https:\/\/openalex.org\/W2032715722","https:\/\/openalex.org\/W1642848156","https:\/\/openalex.org\/W1970091858","https:\/\/openalex.org\/W2041093005","https:\/\/openalex.org\/W2172085288","https:\/\/openalex.org\/W2066902872","https:\/\/openalex.org\/W1515474334","https:\/\/openalex.org\/W3110600005"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,38],"devoted":[3],"to":[4,44,132],"the":[5,23,50,66,71,73,78,82,99,105,109,115],"fast":[6],"solution":[7],"of":[8,25,53,70,77,111],"interface":[9,15],"concentrated":[10,16,34],"finite":[11,17,35,118],"element":[12,18,36,46,119],"equations.":[13],"The":[14],"schemes":[19],"are":[20,124],"constructed":[21],"on":[22],"basis":[24],"a":[26,31],"nonoverlapping":[27],"domain":[28,47],"decomposition":[29,48],"where":[30,60],"conforming":[32],"boundary":[33,45],"approximation":[37],"used":[39],"in":[40],"every":[41],"subdomain.":[42],"Similar":[43],"methods,":[49],"total":[51],"number":[52,110],"unknowns":[54],"per":[55],"subdomain":[56,79],"behaves":[57],"like":[58],"$O((H\/h)^{(d-1)})$,":[59],"H,":[61],"h,":[62],"and":[63,81,88,91,121,127],"d":[64],"denote":[65],"usual":[67],"scaling":[68],"parameter":[69,76],"subdomains,":[72],"average":[74],"discretization":[75],"boundaries,":[80],"spatial":[83],"dimension,":[84],"respectively.":[85],"We":[86],"propose":[87],"analyze":[89],"primal":[90],"dual":[92],"substructuring":[93],"iterative":[94],"methods":[95],"which":[96],"asymptotically":[97],"exhibit":[98],"same":[100,106],"or":[101],"at":[102],"least":[103],"almost":[104],"complexity":[107],"as":[108],"unknowns.":[112],"In":[113],"particular,":[114],"so-called":[116],"all-floating":[117],"tearing":[120],"interconnecting":[122],"solvers":[123],"highly":[125],"parallel":[126],"very":[128],"robust":[129],"with":[130],"respect":[131],"large":[133],"coefficient":[134],"jumps.":[135]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":6}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}