{"id":"https://openalex.org/W2010205496","doi":"https://doi.org/10.1137/130931989","title":"A Highly Scalable Parallel Implementation of Balancing Domain Decomposition by Constraints","display_name":"A Highly Scalable Parallel Implementation of Balancing Domain Decomposition by Constraints","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2010205496","doi":"https://doi.org/10.1137/130931989","mag":"2010205496"},"language":"en","primary_location":{"id":"doi:10.1137/130931989","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130931989","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":true,"oa_status":"green","oa_url":"https://www.scipedia.com/public/Badia_et_al_2014c","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071818847","display_name":"Santiago Badia","orcid":"https://orcid.org/0000-0003-2391-4086"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Santiago Badia","raw_affiliation_strings":["Polytechnic University of Catalonia"],"affiliations":[{"raw_affiliation_string":"Polytechnic University of Catalonia","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034172411","display_name":"Alberto F. Mart\u0131\u0301n","orcid":"https://orcid.org/0000-0001-5751-4561"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Alberto F. Mart\u00edn","raw_affiliation_strings":["Polytechnic University of Catalonia"],"affiliations":[{"raw_affiliation_string":"Polytechnic University of Catalonia","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053636445","display_name":"Javier Pr\u00edncipe","orcid":"https://orcid.org/0000-0002-1478-2651"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Javier Principe","raw_affiliation_strings":["Polytechnic University of Catalonia"],"affiliations":[{"raw_affiliation_string":"Polytechnic University of Catalonia","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5071818847"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":8.0448,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.9805907,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"36","issue":"2","first_page":"C190","last_page":"C218"},"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":0.9993000030517578,"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":0.9993000030517578,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/scalability","display_name":"Scalability","score":0.8104221820831299},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7882986068725586},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.7600045204162598},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.7566653490066528},{"id":"https://openalex.org/keywords/embarrassingly-parallel","display_name":"Embarrassingly parallel","score":0.6893715858459473},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6798420548439026},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6735956072807312},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5924487709999084},{"id":"https://openalex.org/keywords/multi-core-processor","display_name":"Multi-core processor","score":0.5327237844467163},{"id":"https://openalex.org/keywords/grid-computing","display_name":"Grid computing","score":0.5011701583862305},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.4746842086315155},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.47466424107551575},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45623350143432617},{"id":"https://openalex.org/keywords/distributed-memory","display_name":"Distributed memory","score":0.4341089129447937},{"id":"https://openalex.org/keywords/load-balancing","display_name":"Load balancing (electrical power)","score":0.4120425581932068},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3769841194152832},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.33129996061325073},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32290202379226685},{"id":"https://openalex.org/keywords/shared-memory","display_name":"Shared memory","score":0.29309892654418945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1700146496295929},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.08750882744789124},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.085028737783432}],"concepts":[{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.8104221820831299},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7882986068725586},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.7600045204162598},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.7566653490066528},{"id":"https://openalex.org/C126909462","wikidata":"https://www.wikidata.org/wiki/Q5369501","display_name":"Embarrassingly parallel","level":3,"score":0.6893715858459473},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6798420548439026},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6735956072807312},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5924487709999084},{"id":"https://openalex.org/C78766204","wikidata":"https://www.wikidata.org/wiki/Q555032","display_name":"Multi-core processor","level":2,"score":0.5327237844467163},{"id":"https://openalex.org/C70429105","wikidata":"https://www.wikidata.org/wiki/Q249999","display_name":"Grid computing","level":3,"score":0.5011701583862305},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.4746842086315155},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.47466424107551575},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45623350143432617},{"id":"https://openalex.org/C91481028","wikidata":"https://www.wikidata.org/wiki/Q1054686","display_name":"Distributed memory","level":3,"score":0.4341089129447937},{"id":"https://openalex.org/C138959212","wikidata":"https://www.wikidata.org/wiki/Q1806783","display_name":"Load balancing (electrical power)","level":3,"score":0.4120425581932068},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3769841194152832},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.33129996061325073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32290202379226685},{"id":"https://openalex.org/C133875982","wikidata":"https://www.wikidata.org/wiki/Q764810","display_name":"Shared memory","level":2,"score":0.29309892654418945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1700146496295929},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.08750882744789124},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.085028737783432},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/130931989","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130931989","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:dnet:scipediaopen::cfa8192e77ee3f242a1985c1acbb1410","is_oa":true,"landing_page_url":"https://www.scipedia.com/public/Badia_et_al_2014c","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dnet:scipediaopen::cfa8192e77ee3f242a1985c1acbb1410","is_oa":true,"landing_page_url":"https://www.scipedia.com/public/Badia_et_al_2014c","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1482471750","https://openalex.org/W1492326914","https://openalex.org/W1506342804","https://openalex.org/W1510543252","https://openalex.org/W1517347554","https://openalex.org/W1520511539","https://openalex.org/W1548589512","https://openalex.org/W1573548168","https://openalex.org/W1581078542","https://openalex.org/W1813030236","https://openalex.org/W1969302689","https://openalex.org/W1974521166","https://openalex.org/W1977405267","https://openalex.org/W1978003925","https://openalex.org/W1991532854","https://openalex.org/W2000867371","https://openalex.org/W2003105834","https://openalex.org/W2005390260","https://openalex.org/W2005821248","https://openalex.org/W2019221864","https://openalex.org/W2036019258","https://openalex.org/W2039789965","https://openalex.org/W2070571481","https://openalex.org/W2082031999","https://openalex.org/W2082599981","https://openalex.org/W2089861738","https://openalex.org/W2103486983","https://openalex.org/W2137541800","https://openalex.org/W3104001151"],"related_works":["https://openalex.org/W2380023786","https://openalex.org/W1776180254","https://openalex.org/W4249119721","https://openalex.org/W2497691972","https://openalex.org/W4243517538","https://openalex.org/W2123565576","https://openalex.org/W1980845107","https://openalex.org/W2188069249","https://openalex.org/W1630675050","https://openalex.org/W4298364413"],"abstract_inverted_index":{"In":[0,79],"this":[1],"work":[2],"we":[3],"propose":[4],"a":[5,63,114,139],"novel":[6],"parallelization":[7],"approach":[8],"of":[9,20,30,69,82,117,141,156,160,162,167,169],"two-level":[10],"balancing":[11],"domain":[12],"decomposition":[13],"by":[14,96],"constraints":[15],"preconditioning":[16],"based":[17],"on":[18,138,164],"overlapping":[19,70],"fine-grid":[21,39,97],"and":[22,41,47,51,59,127,134],"coarse-grid":[23,45,90],"duties":[24,40],"in":[25,53,61,153],"time.":[26],"The":[27],"global":[28],"set":[29,116],"MPI":[31],"tasks":[32],"is":[33,71],"split":[34],"into":[35],"those":[36,42],"that":[37,43,65,120],"have":[38,44],"duties,":[46],"the":[48,54,66,84,89,110,131,154],"different":[49],"computations":[50,99],"communications":[52],"algorithm":[55],"are":[56,101],"then":[57],"rescheduled":[58],"mapped":[60],"such":[62],"way":[64],"maximum":[67],"degree":[68],"achieved":[72],"while":[73],"preserving":[74],"data":[75],"dependencies":[76],"among":[77],"them.":[78],"many":[80],"ranges":[81],"interest,":[83],"extra":[85],"cost":[86],"associated":[87],"to":[88],"problem":[91],"can":[92],"be":[93],"fully":[94],"masked":[95],"related":[98],"(which":[100],"embarrassingly":[102],"parallel).":[103],"Apart":[104],"from":[105],"discussing":[106],"code":[107],"implementation":[108],"details,":[109],"paper":[111],"also":[112],"presents":[113],"comprehensive":[115],"numerical":[118],"experiments":[119],"includes":[121],"weak":[122,151],"scalability":[123,152],"analyses":[124],"with":[125,158],"structured":[126],"unstructured":[128],"meshes":[129],"for":[130],"three-dimensional":[132],"Poisson":[133],"linear":[135],"elasticity":[136],"problems":[137,157],"pair":[140],"state-of-the-art":[142],"multicore-based":[143],"distributed-memory":[144],"machines.":[145],"This":[146],"experimental":[147],"study":[148],"reveals":[149],"remarkable":[150],"solution":[155],"thousands":[159,168],"millions":[161],"unknowns":[163],"several":[165],"tens":[166],"computational":[170],"cores.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}