{"id":"https://openalex.org/W4407040072","doi":"https://doi.org/10.1137/24m1650107","title":"A Simple Collocation-Type Approach to Numerical Stochastic Homogenization","display_name":"A Simple Collocation-Type Approach to Numerical Stochastic Homogenization","publication_year":2025,"publication_date":"2025-01-31","ids":{"openalex":"https://openalex.org/W4407040072","doi":"https://doi.org/10.1137/24m1650107"},"language":"en","primary_location":{"id":"doi:10.1137/24m1650107","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1650107","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://opus.bibliothek.uni-augsburg.de/opus4/files/120972/120972.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017279001","display_name":"Moritz Hauck","orcid":"https://orcid.org/0000-0003-4817-9727"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]},{"id":"https://openalex.org/I85384741","display_name":"Heidelberg University","ror":"https://ror.org/04rcqnp59","country_code":"US","type":"education","lineage":["https://openalex.org/I85384741"]}],"countries":["DE","US"],"is_corresponding":true,"raw_author_name":"Moritz Hauck","raw_affiliation_strings":["Interdisciplinary Center for Scientific Computing (IWR), Heidelberg University, 69047 Heidelberg, Germany"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Center for Scientific Computing (IWR), Heidelberg University, 69047 Heidelberg, Germany","institution_ids":["https://openalex.org/I85384741","https://openalex.org/I223822909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5094581571","display_name":"Hannah Mohr","orcid":null},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hannah Mohr","raw_affiliation_strings":["Institute of Mathematics, University of Augsburg, Universit\u00e4tsstr.\u00a012a, 86159 Augsburg, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Augsburg, Universit\u00e4tsstr.\u00a012a, 86159 Augsburg, Germany","institution_ids":["https://openalex.org/I179225836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014228488","display_name":"Daniel Peterseim","orcid":"https://orcid.org/0000-0001-7213-556X"},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Peterseim","raw_affiliation_strings":["Centre for Advanced Analytics and Predictive Sciences (CAAPS), University of Augsburg, Universit\u00e4tsstr.\u00a012a, 86159 Augsburg, Germany","Institute of Mathematics, University of Augsburg, Universit\u00e4tsstr.\u00a012a, 86159 Augsburg, Germany"],"affiliations":[{"raw_affiliation_string":"Centre for Advanced Analytics and Predictive Sciences (CAAPS), University of Augsburg, Universit\u00e4tsstr.\u00a012a, 86159 Augsburg, Germany","institution_ids":["https://openalex.org/I179225836"]},{"raw_affiliation_string":"Institute of Mathematics, University of Augsburg, Universit\u00e4tsstr.\u00a012a, 86159 Augsburg, Germany","institution_ids":["https://openalex.org/I179225836"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017279001"],"corresponding_institution_ids":["https://openalex.org/I223822909","https://openalex.org/I85384741"],"apc_list":null,"apc_paid":null,"fwci":3.0167,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.89701966,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"23","issue":"1","first_page":"374","last_page":"396"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":1.0,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9988999962806702,"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/T11558","display_name":"Composite Material Mechanics","score":0.9983000159263611,"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/homogenization","display_name":"Homogenization (climate)","score":0.7305855751037598},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6194582581520081},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5010440349578857},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4440121650695801},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37564897537231445}],"concepts":[{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.7305855751037598},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6194582581520081},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5010440349578857},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4440121650695801},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37564897537231445},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/24m1650107","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1650107","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:120972","is_oa":true,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/120972","pdf_url":"https://opus.bibliothek.uni-augsburg.de/opus4/files/120972/120972.pdf","source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"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":"doc-type:article"}],"best_oa_location":{"id":"pmh:oai:uni-augsburg.opus-bayern.de:120972","is_oa":true,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/120972","pdf_url":"https://opus.bibliothek.uni-augsburg.de/opus4/files/120972/120972.pdf","source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"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":"doc-type:article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1174531324","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320322327","funder_display_name":"Knut och Alice Wallenbergs Stiftelse"},{"id":"https://openalex.org/G2633756521","display_name":"Computational Random Multiscale Problems","funder_award_id":"865751","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4040439726","display_name":null,"funder_award_id":"KAW 2022.0260","funder_id":"https://openalex.org/F4320322327","funder_display_name":"Knut och Alice Wallenbergs Stiftelse"},{"id":"https://openalex.org/G4861011176","display_name":null,"funder_award_id":"865751","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G6832510969","display_name":null,"funder_award_id":"KAW 2022","funder_id":"https://openalex.org/F4320322327","funder_display_name":"Knut och Alice Wallenbergs Stiftelse"},{"id":"https://openalex.org/G8051717526","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8683756101","display_name":null,"funder_award_id":"support","funder_id":"https://openalex.org/F4320322327","funder_display_name":"Knut och Alice Wallenbergs Stiftelse"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407040072.pdf","grobid_xml":"https://content.openalex.org/works/W4407040072.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W1555674425","https://openalex.org/W1956423406","https://openalex.org/W1980404981","https://openalex.org/W1983122553","https://openalex.org/W2010942428","https://openalex.org/W2039055469","https://openalex.org/W2040550846","https://openalex.org/W2107101459","https://openalex.org/W2152799582","https://openalex.org/W2478934218","https://openalex.org/W2519971170","https://openalex.org/W2602284421","https://openalex.org/W2623463482","https://openalex.org/W2811077605","https://openalex.org/W2963665224","https://openalex.org/W2963875859","https://openalex.org/W2963944947","https://openalex.org/W2963961138","https://openalex.org/W2964167860","https://openalex.org/W2970164183","https://openalex.org/W2979712029","https://openalex.org/W3010899554","https://openalex.org/W3011108420","https://openalex.org/W3013839780","https://openalex.org/W3024618727","https://openalex.org/W3095387974","https://openalex.org/W3104600081","https://openalex.org/W3105352918","https://openalex.org/W3109896535","https://openalex.org/W3134737121","https://openalex.org/W3152831002","https://openalex.org/W3153003118","https://openalex.org/W3184443968","https://openalex.org/W3194996585","https://openalex.org/W3198272795","https://openalex.org/W4221163251","https://openalex.org/W4308241234","https://openalex.org/W4367459643","https://openalex.org/W4389430589","https://openalex.org/W4389886089","https://openalex.org/W4398164237","https://openalex.org/W4400787248","https://openalex.org/W4401324963"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W2104620528","https://openalex.org/W140119233","https://openalex.org/W2757910772","https://openalex.org/W4249473811","https://openalex.org/W2394422079","https://openalex.org/W1492688905","https://openalex.org/W2524071042"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,28,35,62,103],"novel":[4],"collocation-type":[5,59],"numerical":[6,92,106],"stochastic":[7,12,71,99],"homogenization":[8,13,93,100],"method":[9,24,85],"for":[10],"prototypical":[11],"problems":[14],"with":[15,73],"random":[16],"coefficient":[17],"fields":[18],"of":[19,38,83,98,105,112,124],"small":[20],"correlation":[21,114],"lengths.The":[22],"presented":[23],"is":[25,101],"based":[26],"on":[27,120],"recently":[29],"introduced":[30],"localization":[31],"technique":[32],"that":[33,90],"enforces":[34],"super-exponential":[36],"decay":[37],"the":[39,44,54,58,70,77,80,84,95,110,113,117,121,125],"basis":[40,81],"functions":[41,82],"relative":[42],"to":[43],"underlying":[45],"coarse":[46],"mesh,":[47],"resulting":[48],"in":[49,69],"considerable":[50],"computational":[51],"savings":[52],"during":[53],"sampling":[55],"phase.More":[56],"generally,":[57],"structure":[60],"offers":[61],"particularly":[63],"simple":[64],"and":[65,94,116],"computationally":[66],"efficient":[67],"construction":[68],"setting":[72],"minimized":[74],"communication":[75],"between":[76],"patches":[78],"where":[79],"are":[86],"computed.An":[87],"error":[88],"analysis":[89],"bridges":[91],"quantitative":[96],"theory":[97],"performed.In":[102],"series":[104],"experiments,":[107],"we":[108],"study":[109],"effect":[111],"length":[115],"discretization":[118],"parameters":[119],"approximation":[122],"quality":[123],"method.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}