{"id":"https://openalex.org/W7167663471","doi":"https://doi.org/10.48550/arxiv.2607.06011","title":"Metagraph-Based Domain-Decomposed Galerkin Reduced-Order Model","display_name":"Metagraph-Based Domain-Decomposed Galerkin Reduced-Order Model","publication_year":2026,"publication_date":"2026-07-07","ids":{"openalex":"https://openalex.org/W7167663471","doi":"https://doi.org/10.48550/arxiv.2607.06011"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2607.06011","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.06011","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2607.06011","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5117289748","display_name":"Kyohei Shintate","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shintate, Kyohei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086827728","display_name":"N. Morita","orcid":"https://orcid.org/0000-0001-6568-0156"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Morita, Naoki","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014826967","display_name":"Shigeki Kaneko","orcid":"https://orcid.org/0000-0002-6798-5647"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kaneko, Shigeki","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036012785","display_name":"Nozomi Magome","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Magome, Nozomi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5140291261","display_name":"Naoto Mitsume","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mitsume, Naoto","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":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.0012000000569969416,"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/T11416","display_name":"Numerical methods for differential equations","score":0.0007999999797903001,"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/galerkin-method","display_name":"Galerkin method","score":0.6395000219345093},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6323000192642212},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6236000061035156},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.602400004863739},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46149998903274536},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4309999942779541},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.40540000796318054},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.40049999952316284},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.3650999963283539}],"concepts":[{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6395000219345093},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6323000192642212},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6236000061035156},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.602400004863739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5843999981880188},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.510200023651123},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46149998903274536},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45579999685287476},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4309999942779541},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.40540000796318054},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.40049999952316284},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3718999922275543},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.3650999963283539},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36250001192092896},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.3463999927043915},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3215999901294708},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.30230000615119934},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3021000027656555},{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.2883000075817108},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.28369998931884766},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.28200000524520874},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.2786000072956085},{"id":"https://openalex.org/C138959212","wikidata":"https://www.wikidata.org/wiki/Q1806783","display_name":"Load balancing (electrical power)","level":3,"score":0.2718999981880188},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.26750001311302185},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.26089999079704285},{"id":"https://openalex.org/C2777032711","wikidata":"https://www.wikidata.org/wiki/Q5318993","display_name":"Dynamic mode decomposition","level":2,"score":0.2565000057220459},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2547000050544739}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2607.06011","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.06011","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2607.06011","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.06011","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"study":[1],"proposes":[2],"a":[3,142],"metagraph-based":[4],"domain-decomposed":[5,21],"Galerkin":[6,22],"reduced-order":[7,13,23,151],"model":[8],"(MBDD-G-ROM)":[9],"for":[10,35,42,132],"distributed-memory":[11,92],"parallel":[12,88,158],"analysis":[14],"of":[15,94],"large-scale":[16],"problems.":[17],"The":[18,114,128,145],"method":[19,129],"represents":[20],"models":[24],"over":[25],"arbitrary":[26],"domain":[27],"decompositions":[28,111],"using":[29],"two":[30,110],"graph":[31],"levels:":[32],"calculation-point":[33],"graphs":[34],"interactions":[36],"among":[37,44],"discretization":[38],"points":[39],"and":[40,97,103,137],"metagraphs":[41],"connectivity":[43],"local":[45,71],"approximation-space":[46],"subdomains.":[47],"In":[48],"the":[49,65,76,79,87,109],"proper":[50],"orthogonal":[51],"decomposition":[52],"(POD)-based":[53],"implementation,":[54],"POD":[55,72,80],"computation":[56,81,89],"subdomains":[57,82],"are":[58],"represented":[59],"as":[60],"metanodes,":[61],"while":[62,154],"metaedges":[63],"encode":[64],"block-sparsity":[66],"induced":[67],"by":[68],"overlaps":[69],"between":[70],"basis":[73],"supports.":[74],"Partitioning":[75],"metagraph":[77,115],"enables":[78],"to":[83,112],"be":[84],"decoupled":[85],"from":[86],"subdomains,":[90],"allowing":[91],"parallelization":[93],"both":[95],"offline":[96],"online":[98,157],"phases,":[99],"including":[100],"reduced-system":[101],"assembly":[102],"iterative":[104],"linear":[105],"solution,":[106],"without":[107],"requiring":[108],"coincide.":[113],"also":[116],"supports":[117],"static":[118],"load":[119],"balancing":[120],"through":[121],"metanode":[122,167],"weights":[123,168],"that":[124,148,165],"approximate":[125],"computational":[126,171],"costs.":[127],"is":[130],"evaluated":[131],"an":[133],"unsteady":[134],"diffusion":[135],"equation":[136],"incompressible":[138],"Navier-Stokes":[139],"flow":[140],"around":[141],"three-dimensional":[143],"cylinder.":[144],"results":[146],"show":[147],"MBDD-G-ROM":[149],"preserves":[150],"solution":[152],"accuracy":[153],"achieving":[155],"high":[156],"efficiency.":[159,172],"A":[160],"load-balancing":[161],"test":[162],"further":[163],"demonstrates":[164],"cost-based":[166],"can":[169],"improve":[170]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-07-09T00:00:00"}