{"id":"https://openalex.org/W1981893990","doi":"https://doi.org/10.1137/04061057x","title":"An Interface-Strip Domain Decomposition Preconditioner","display_name":"An Interface-Strip Domain Decomposition Preconditioner","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1981893990","doi":"https://doi.org/10.1137/04061057x","mag":"1981893990"},"language":"en","primary_location":{"id":"doi:10.1137/04061057x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/04061057x","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/A5013754088","display_name":"Alfio Quarteroni","orcid":"https://orcid.org/0000-0002-5947-6885"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alfio Quarteroni","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009201599","display_name":"Marzio Sala","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marzio Sala","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5042052732","display_name":"Alberto Valli","orcid":"https://orcid.org/0000-0002-6281-3221"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alberto Valli","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7395,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7043327,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"28","issue":"2","first_page":"498","last_page":"516"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9987000226974487,"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":0.9326286315917969},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.9171237945556641},{"id":"https://openalex.org/keywords/schur-complement","display_name":"Schur complement","score":0.7777135968208313},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7348102927207947},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6027411222457886},{"id":"https://openalex.org/keywords/mortar-methods","display_name":"Mortar methods","score":0.5530871152877808},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5294052362442017},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.51161128282547},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5094123482704163},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.45844602584838867},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36262619495391846},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35188135504722595},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21390894055366516},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20017030835151672},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19498169422149658},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.13101845979690552}],"concepts":[{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.9326286315917969},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9171237945556641},{"id":"https://openalex.org/C2731191","wikidata":"https://www.wikidata.org/wiki/Q1778169","display_name":"Schur complement","level":3,"score":0.7777135968208313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7348102927207947},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6027411222457886},{"id":"https://openalex.org/C97110765","wikidata":"https://www.wikidata.org/wiki/Q17099078","display_name":"Mortar methods","level":4,"score":0.5530871152877808},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5294052362442017},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.51161128282547},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5094123482704163},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.45844602584838867},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36262619495391846},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35188135504722595},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21390894055366516},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20017030835151672},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19498169422149658},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.13101845979690552},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/04061057x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/04061057x","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:iris.unitn.it:11572/70378","is_oa":false,"landing_page_url":"http://hdl.handle.net/11572/70378","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:re.public.polimi.it:11311/553301","is_oa":false,"landing_page_url":"http://hdl.handle.net/11311/553301","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/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/W12123325","https://openalex.org/W1033826287","https://openalex.org/W1506342804","https://openalex.org/W1542243431","https://openalex.org/W1546004968","https://openalex.org/W1967011851","https://openalex.org/W1974521166","https://openalex.org/W1977828053","https://openalex.org/W1988048764","https://openalex.org/W1992988661","https://openalex.org/W1994934002","https://openalex.org/W2000582360","https://openalex.org/W2004951603","https://openalex.org/W2040011362","https://openalex.org/W2042248875","https://openalex.org/W2063806054","https://openalex.org/W2067634772","https://openalex.org/W2070264798","https://openalex.org/W2086657597","https://openalex.org/W2094534199","https://openalex.org/W2113830538","https://openalex.org/W2142304406","https://openalex.org/W2159959193","https://openalex.org/W2316564661","https://openalex.org/W2509362106","https://openalex.org/W3185776723","https://openalex.org/W4292079189"],"related_works":["https://openalex.org/W4229577910","https://openalex.org/W2791597622","https://openalex.org/W2026707481","https://openalex.org/W2945681243","https://openalex.org/W2215799427","https://openalex.org/W4251382706","https://openalex.org/W3110600005","https://openalex.org/W2007633113","https://openalex.org/W3013551279","https://openalex.org/W2042239304"],"abstract_inverted_index":{"In":[0,18],"this":[1],"paper":[2],"we":[3,47],"consider":[4],"domain":[5],"decomposition":[6,13],"preconditioners":[7,50,87,102],"based":[8],"on":[9,44],"a":[10,29,40,73],"vertex-oriented":[11],"(VO)":[12],"of":[14,24,54,63,77,99],"the":[15,25,52,55,64,97,100],"computational":[16],"domain.":[17],"element-oriented":[19],"(EO)":[20],"decompositions,":[21,46],"each":[22,36],"element":[23,75],"grid":[26],"belongs":[27,38],"to":[28,39],"different":[30,41],"domain,":[31],"while":[32],"in":[33],"VO":[34,45],"decompositions":[35],"vertex":[37],"subdomain.":[42],"Based":[43],"present":[48],"some":[49],"for":[51,61,72],"solution":[53],"original":[56],"system,":[57],"as":[58,60],"well":[59],"that":[62],"Schur":[65],"complement":[66],"system.":[67],"Theoretical":[68],"properties":[69],"are":[70,88],"investigated":[71],"finite":[74],"approximation":[76],"an":[78],"elliptic":[79],"problem.":[80],"Numerical":[81],"results":[82,93],"and":[83,103],"comparison":[84],"with":[85],"state-of-the-art":[86],"also":[89],"reported.":[90],"The":[91],"numerical":[92],"presented":[94],"here":[95],"show":[96],"effectiveness":[98],"proposed":[101],"their":[104],"good":[105],"scalability":[106],"properties.":[107]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}
