{"id":"https://openalex.org/W2024179839","doi":"https://doi.org/10.1002/1099-1506(200010/12)7:7/8<687::aid-nla219>3.0.co;2-s","title":"A scalable dual-primal domain decomposition method","display_name":"A scalable dual-primal domain decomposition method","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2024179839","doi":"https://doi.org/10.1002/1099-1506(200010/12)7:7/8<687::aid-nla219>3.0.co;2-s","mag":"2024179839"},"language":"en","primary_location":{"id":"doi:10.1002/1099-1506(200010/12)7:7/8<687::aid-nla219>3.0.co;2-s","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1099-1506(200010/12)7:7/8<687::aid-nla219>3.0.co;2-s","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","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/A5064139543","display_name":"Charbel Farhat","orcid":"https://orcid.org/0000-0003-2563-8820"},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Charbel Farhat","raw_affiliation_strings":["Department of Aerospace Engineering Sciences, and Center for Aerospace Structures, University of Colorado at Boulder, Boulder, CO 80309-0429, U.S.A","Department of Aerospace Engineering Sciences and Center for Aerospace Structures, University of Colorado at Boulder, Boulder, CO 80309\u20100429, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering Sciences, and Center for Aerospace Structures, University of Colorado at Boulder, Boulder, CO 80309-0429, U.S.A","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Department of Aerospace Engineering Sciences and Center for Aerospace Structures, University of Colorado at Boulder, Boulder, CO 80309\u20100429, U.S.A","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109030181","display_name":"Michael Lesoinne","orcid":null},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Lesoinne","raw_affiliation_strings":["Department of Aerospace Engineering Sciences, and Center for Aerospace Structures, University of Colorado at Boulder, Boulder, CO 80309-0429, U.S.A","Department of Aerospace Engineering Sciences and Center for Aerospace Structures, University of Colorado at Boulder, Boulder, CO 80309\u20100429, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering Sciences, and Center for Aerospace Structures, University of Colorado at Boulder, Boulder, CO 80309-0429, U.S.A","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Department of Aerospace Engineering Sciences and Center for Aerospace Structures, University of Colorado at Boulder, Boulder, CO 80309\u20100429, U.S.A","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109927509","display_name":"Kendall Pierson","orcid":null},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kendall Pierson","raw_affiliation_strings":["Department of Aerospace Engineering Sciences, and Center for Aerospace Structures, University of Colorado at Boulder, Boulder, CO 80309-0429, U.S.A","Department of Aerospace Engineering Sciences and Center for Aerospace Structures, University of Colorado at Boulder, Boulder, CO 80309\u20100429, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering Sciences, and Center for Aerospace Structures, University of Colorado at Boulder, Boulder, CO 80309-0429, U.S.A","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Department of Aerospace Engineering Sciences and Center for Aerospace Structures, University of Colorado at Boulder, Boulder, CO 80309\u20100429, U.S.A","institution_ids":["https://openalex.org/I188538660"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064139543"],"corresponding_institution_ids":["https://openalex.org/I188538660"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":10.8588,"has_fulltext":false,"cited_by_count":341,"citation_normalized_percentile":{"value":0.99007045,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"7","issue":"7-8","first_page":"687","last_page":"714"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.8704782724380493},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7832283973693848},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.7073509693145752},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6760209202766418},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.647020161151886},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.6235458850860596},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.61358642578125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5587387681007385},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.538223147392273},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5338035821914673},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.47809359431266785},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4710281491279602},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.46341317892074585},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.4541383385658264},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.44236359000205994},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.43986764550209045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42088478803634644},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.41307157278060913},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3957066535949707},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3851727247238159},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15533342957496643},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.13529106974601746},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.06240895390510559}],"concepts":[{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.8704782724380493},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7832283973693848},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.7073509693145752},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6760209202766418},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.647020161151886},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.6235458850860596},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.61358642578125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5587387681007385},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.538223147392273},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5338035821914673},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.47809359431266785},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4710281491279602},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.46341317892074585},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.4541383385658264},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.44236359000205994},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.43986764550209045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42088478803634644},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.41307157278060913},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3957066535949707},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3851727247238159},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15533342957496643},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.13529106974601746},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.06240895390510559},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/1099-1506(200010/12)7:7/8<687::aid-nla219>3.0.co;2-s","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1099-1506(200010/12)7:7/8<687::aid-nla219>3.0.co;2-s","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","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":30,"referenced_works":["https://openalex.org/W575981294","https://openalex.org/W1532656300","https://openalex.org/W1969302689","https://openalex.org/W1971812145","https://openalex.org/W1974521166","https://openalex.org/W1979436246","https://openalex.org/W1985968347","https://openalex.org/W2005390260","https://openalex.org/W2008999625","https://openalex.org/W2030768625","https://openalex.org/W2031738947","https://openalex.org/W2033147043","https://openalex.org/W2039882329","https://openalex.org/W2043285647","https://openalex.org/W2051362961","https://openalex.org/W2051588145","https://openalex.org/W2051861880","https://openalex.org/W2061698080","https://openalex.org/W2068663505","https://openalex.org/W2073721945","https://openalex.org/W2086989960","https://openalex.org/W2142304406","https://openalex.org/W2147608587","https://openalex.org/W2316564661","https://openalex.org/W2498157954","https://openalex.org/W3166595295","https://openalex.org/W4232240772","https://openalex.org/W4248188590","https://openalex.org/W4285719527","https://openalex.org/W6643221377"],"related_works":["https://openalex.org/W2018702098","https://openalex.org/W3150927006","https://openalex.org/W768539834","https://openalex.org/W2023937487","https://openalex.org/W2778061477","https://openalex.org/W2072734046","https://openalex.org/W2073213616","https://openalex.org/W2045642207","https://openalex.org/W2009858568","https://openalex.org/W3144246503"],"abstract_inverted_index":{"We":[0,35,59],"blend":[1],"dual":[2],"and":[3,30,52,71],"primal":[4],"domain":[5],"decomposition":[6],"approaches":[7],"to":[8,45,62],"construct":[9],"a":[10],"fast":[11],"iterative":[12],"method":[13,40],"for":[14],"the":[15,24,46,49,53,63,86],"solution":[16,64],"of":[17,20,28,55,65],"large-scale":[18],"systems":[19],"equations":[21],"arising":[22],"from":[23],"finite":[25],"element":[26],"discretization":[27],"second-":[29],"fourth-order":[31],"partial":[32],"differential":[33],"equations.":[34],"show":[36],"numerically":[37],"that":[38],"our":[39],"is":[41],"scalable":[42],"with":[43],"respect":[44],"mesh":[47],"size,":[48,51],"subdomain":[50],"number":[54],"elements":[56],"per":[57],"subdomain.":[58],"apply":[60],"it":[61],"several":[66],"realistic":[67],"structural":[68],"mechanics":[69],"problems,":[70],"report":[72],"on":[73,78],"parallel":[74],"performance":[75],"results":[76],"obtained":[77],"an":[79],"Origin":[80],"2000":[81,93],"system,":[82],"as":[83,85],"well":[84],"ASCI":[87],"Option":[88],"Red":[89],"supercomputer.":[90],"Copyright":[91],"\u00a9":[92],"John":[94],"Wiley":[95],"&":[96],"Sons,":[97],"Ltd.":[98]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":28},{"year":2012,"cited_by_count":23}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}