{"id":"https://openalex.org/W7204815184","doi":"https://doi.org/10.48550/arxiv.2608.27958","title":"A Two-Level Preconditioner Based on Dominant Components for Time-Dependent Multiscale High-Contrast Problem","display_name":"A Two-Level Preconditioner Based on Dominant Components for Time-Dependent Multiscale High-Contrast Problem","publication_year":2026,"publication_date":"2026-08-28","ids":{"openalex":"https://openalex.org/W7204815184","doi":"https://doi.org/10.48550/arxiv.2608.27958"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.27958","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.27958","pdf_url":"https://arxiv.org/pdf/2608.27958","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.27958","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5148824466","display_name":"Yating Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang, Yating","raw_affiliation_strings":["School of Mathematics and Statistic , Xi'an Jiaotong University , Xi'an , People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistic , Xi'an Jiaotong University , Xi'an , People's Republic of China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058269779","display_name":"Yibao Li","orcid":"https://orcid.org/0000-0002-4847-5430","observed_orcids":["https://orcid.org/0000-0002-4847-5430"]},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li, Yibao","raw_affiliation_strings":["School of Mathematics and Statistic , Xi'an Jiaotong University , Xi'an , People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistic , Xi'an Jiaotong University , Xi'an , People's Republic of China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044574744","display_name":"Wing Tat Leung","orcid":"https://orcid.org/0000-0002-8329-7844","observed_orcids":["https://orcid.org/0000-0002-8329-7844","https://orcid.org/0000-0002-6550-0597"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leung, Wing Tat","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9585000276565552,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9585000276565552,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.03400000184774399,"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":0.002899999963119626,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/two-level-preconditioners","display_name":"two-level preconditioners","score":0.9440000057220459},{"id":"https://openalex.org/keywords/time-dependent-problems","display_name":"time-dependent problems","score":0.8870000243186951},{"id":"https://openalex.org/keywords/multiscale-basis-functions","display_name":"multiscale basis functions","score":0.8059999942779541},{"id":"https://openalex.org/keywords/mass-matrix","display_name":"mass matrix","score":0.375}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8320000171661377},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6496999859809875},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5421000123023987},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5098000168800354},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.49619999527931213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48559999465942383},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47690001130104065},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4489000141620636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.445499986410141},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4406999945640564},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3928999900817871},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.34929999709129333},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.311599999666214},{"id":"https://openalex.org/C2779372316","wikidata":"https://www.wikidata.org/wiki/Q569057","display_name":"Stiffness","level":2,"score":0.2985999882221222},{"id":"https://openalex.org/C141123601","wikidata":"https://www.wikidata.org/wiki/Q6935072","display_name":"Multiscale modeling","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.2612000107765198},{"id":"https://openalex.org/C135585149","wikidata":"https://www.wikidata.org/wiki/Q339704","display_name":"Mass matrix","level":3,"score":0.2587999999523163}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.27958","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.27958","pdf_url":"https://arxiv.org/pdf/2608.27958","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.27958","doi":"https://doi.org/10.48550/arxiv.2608.27958","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.27958","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,"listed_in":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.27958","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.27958","pdf_url":"https://arxiv.org/pdf/2608.27958","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G369871697","display_name":null,"funder_award_id":"12526212","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6877920836","display_name":null,"funder_award_id":"12301559","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204815184.pdf","grobid_xml":"https://content.openalex.org/works/W7204815184.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2030373618","https://openalex.org/W2194159388","https://openalex.org/W4386934471","https://openalex.org/W2042643927","https://openalex.org/W2280021844","https://openalex.org/W1904492494","https://openalex.org/W2963417247","https://openalex.org/W2986421785","https://openalex.org/W4281710471","https://openalex.org/W4404626947"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"develop":[4],"a":[5,18,124],"two-level":[6,102],"overlapping":[7],"preconditioner":[8],"for":[9,95],"time-dependent":[10],"problems":[11],"in":[12,90,100],"high-contrast":[13],"multiscale":[14,23,126,152],"media.":[15],"We":[16,50,165],"present":[17],"coarse-space":[19,130],"construction":[20,131],"based":[21],"on":[22,27],"methods,":[24],"with":[25,123,139],"emphasis":[26],"the":[28,43,47,53,59,64,69,78,82,87,96,101,114,120,133,151,161,167,173],"relaxed":[29,162],"nonlocal":[30],"multicontinuum":[31],"(NLMC)":[32],"method.":[33],"The":[34,128],"NLMC":[35,55,91,116],"space":[36,56,92,117],"can":[37,109,155],"be":[38,110,156],"separated":[39],"into":[40],"components":[41],"representing":[42],"high-permeability":[44,65,88,121],"regions":[45],"and":[46,85,144,170],"low-permeability":[48,83],"background.":[49],"show":[51],"that":[52],"complete":[54],"effectively":[57],"preconditions":[58],"heterogeneous":[60],"stiffness":[61],"operator,":[62],"whereas":[63],"component":[66,89,122],"alone":[67],"captures":[68],"contrast-dependent":[70],"global":[71,97],"modes.":[72],"For":[73,104],"suitable":[74],"small":[75],"time-step":[76,106],"sizes,":[77,107],"mass":[79],"matrix":[80],"controls":[81],"contribution":[84],"only":[86],"is":[93],"required":[94],"coarse":[98],"correction":[99],"preconditioner.":[103],"general":[105],"performance":[108],"maintained":[111],"by":[112,158],"using":[113],"full":[115],"or":[118],"augmenting":[119],"standard":[125],"space.":[127],"proposed":[129,174],"lowers":[132],"computational":[134],"cost":[135],"while":[136],"preserving":[137],"robustness":[138],"respect":[140],"to":[141],"coefficient":[142],"contrast":[143],"fine-scale":[145],"resolution.":[146],"To":[147],"further":[148],"improve":[149],"efficiency,":[150],"basis":[153],"functions":[154],"constructed":[157],"iteratively":[159],"solving":[160],"energy-minimizing":[163],"formulation.":[164],"demonstrate":[166],"robustness,":[168],"efficiency":[169],"scalability":[171],"of":[172],"method":[175],"through":[176],"several":[177],"numerical":[178],"experiments.":[179]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-01T00:00:00"}
