{"id":"https://openalex.org/W2197231398","doi":"https://doi.org/10.1137/15m1054213","title":"ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications","display_name":"ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2197231398","doi":"https://doi.org/10.1137/15m1054213","mag":"2197231398"},"language":"en","primary_location":{"id":"doi:10.1137/15m1054213","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1054213","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1512.07840","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011704443","display_name":"Andreas Buhr","orcid":"https://orcid.org/0000-0003-3053-5332"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Andreas Buhr","raw_affiliation_strings":["Institute for Computational and Applied Mathematics, University of M\u00fcnster, Einsteinstra\u00dfe 62, 48149 M\u00fcnster, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Computational and Applied Mathematics, University of M\u00fcnster, Einsteinstra\u00dfe 62, 48149 M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083989030","display_name":"Christian Engwer","orcid":"https://orcid.org/0000-0002-6041-8228"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Engwer","raw_affiliation_strings":["Institute for Computational and Applied Mathematics, University of M\u00fcnster, Einsteinstra\u00dfe 62, 48149 M\u00fcnster, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Computational and Applied Mathematics, University of M\u00fcnster, Einsteinstra\u00dfe 62, 48149 M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039193717","display_name":"Mario Ohlberger","orcid":"https://orcid.org/0000-0002-6260-3574"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Mario Ohlberger","raw_affiliation_strings":["Institute for Computational and Applied Mathematics, University of M\u00fcnster, Einsteinstra\u00dfe 62, 48149 M\u00fcnster, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Computational and Applied Mathematics, University of M\u00fcnster, Einsteinstra\u00dfe 62, 48149 M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024767834","display_name":"Stephan Rave","orcid":"https://orcid.org/0000-0003-0439-7212"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stephan Rave","raw_affiliation_strings":["Institute for Computational and Applied Mathematics, University of M\u00fcnster, Einsteinstra\u00dfe 62, 48149 M\u00fcnster, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Computational and Applied Mathematics, University of M\u00fcnster, Einsteinstra\u00dfe 62, 48149 M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011704443"],"corresponding_institution_ids":["https://openalex.org/I22465464"],"apc_list":null,"apc_paid":null,"fwci":2.959,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.90166329,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"39","issue":"4","first_page":"A1435","last_page":"A1465"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9998000264167786,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.7207989692687988},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6826819777488708},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6430119276046753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6199868321418762},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.6023695468902588},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5768870115280151},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5689222812652588},{"id":"https://openalex.org/keywords/workflow","display_name":"Workflow","score":0.5657643675804138},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.5518612265586853},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5259777903556824},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5083491206169128},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.4576011002063751},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.41296011209487915},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4088413715362549},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29387548565864563},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08248764276504517},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07574361562728882}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.7207989692687988},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6826819777488708},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6430119276046753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6199868321418762},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.6023695468902588},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5768870115280151},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5689222812652588},{"id":"https://openalex.org/C177212765","wikidata":"https://www.wikidata.org/wiki/Q627335","display_name":"Workflow","level":2,"score":0.5657643675804138},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.5518612265586853},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5259777903556824},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5083491206169128},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.4576011002063751},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.41296011209487915},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4088413715362549},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29387548565864563},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08248764276504517},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07574361562728882},{"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/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1054213","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1054213","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:arXiv.org:1512.07840","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1512.07840","pdf_url":"https://arxiv.org/pdf/1512.07840","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1512.07840","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1512.07840","pdf_url":"https://arxiv.org/pdf/1512.07840","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6993206844","display_name":null,"funder_award_id":"05M13PMA","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"}],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1505358753","https://openalex.org/W1548589512","https://openalex.org/W1561436518","https://openalex.org/W1599798592","https://openalex.org/W1650649945","https://openalex.org/W1699887297","https://openalex.org/W1967364504","https://openalex.org/W1970934346","https://openalex.org/W1971155154","https://openalex.org/W1975839354","https://openalex.org/W1976653974","https://openalex.org/W1977654625","https://openalex.org/W1978592052","https://openalex.org/W1980404981","https://openalex.org/W1983122553","https://openalex.org/W1990157709","https://openalex.org/W2008967183","https://openalex.org/W2029918260","https://openalex.org/W2030604754","https://openalex.org/W2031841233","https://openalex.org/W2039055345","https://openalex.org/W2039924562","https://openalex.org/W2068928593","https://openalex.org/W2078045751","https://openalex.org/W2088232737","https://openalex.org/W2092508481","https://openalex.org/W2096455848","https://openalex.org/W2096467735","https://openalex.org/W2108533624","https://openalex.org/W2114669532","https://openalex.org/W2119350139","https://openalex.org/W2126028850","https://openalex.org/W2126087872","https://openalex.org/W2130712370","https://openalex.org/W2133041109","https://openalex.org/W2158189140","https://openalex.org/W2162992695","https://openalex.org/W2165347921","https://openalex.org/W2230918517","https://openalex.org/W2241236980","https://openalex.org/W2282978183","https://openalex.org/W2468426944","https://openalex.org/W2534129575","https://openalex.org/W2735270253","https://openalex.org/W2950701827","https://openalex.org/W2952118606","https://openalex.org/W2962846611","https://openalex.org/W3100174328","https://openalex.org/W3103045011","https://openalex.org/W3108983671","https://openalex.org/W4240395309","https://openalex.org/W4248468406","https://openalex.org/W4298189006"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W1494268238","https://openalex.org/W154868527","https://openalex.org/W1983207144","https://openalex.org/W2522856630","https://openalex.org/W1510415755","https://openalex.org/W4302014076","https://openalex.org/W2051787597","https://openalex.org/W2046224185","https://openalex.org/W3210125739"],"abstract_inverted_index":{"Engineers":[0],"manually":[1],"optimizing":[2],"a":[3,58,81,93,97,125,137,153,158,172],"structure":[4,23],"using":[5],"finite":[6,28],"element":[7,29],"based":[8,30],"simulation":[9,31],"software":[10,32],"often":[11],"employ":[12],"an":[13],"iterative":[14],"approach":[15],"where":[16,57],"in":[17,44],"each":[18,45],"iteration":[19],"they":[20],"change":[21],"the":[22,65,101,112,118,146,163,166],"slightly":[24],"and":[25,96,155],"resimulate.":[26],"Standard":[27],"is":[33,61,131,150],"usually":[34],"not":[35],"well":[36],"suited":[37],"for":[38,48,105,171],"this":[39,73,76],"workflow,":[40],"as":[41],"it":[42],"restarts":[43],"iteration,":[46],"even":[47],"tiny":[49],"changes.":[50],"In":[51],"settings":[52],"with":[53,176],"complex":[54],"local":[55,89],"microstructure,":[56],"fine":[59],"mesh":[60],"required":[62],"to":[63],"capture":[64],"geometric":[66],"detail,":[67],"localized":[68,98,126,138,157],"model":[69,106,130,147],"reduction":[70,149],"can":[71,121],"improve":[72],"workflow.":[74],"To":[75],"end,":[77],"we":[78],"introduce":[79],"ArbiLoMod,":[80],"method":[82,104],"which":[83],"allows":[84],"fast":[85],"recomputation":[86],"after":[87,124],"arbitrary":[88],"modifications.":[90],"It":[91,109],"employs":[92],"domain":[94],"decomposition":[95],"form":[99],"of":[100,117,165],"reduced":[102,113,129],"basis":[103,114],"order":[107,148],"reduction.":[108],"assumes":[110],"that":[111],"on":[115],"many":[116],"unchanged":[119],"domains":[120],"be":[122],"reused":[123],"change.":[127],"The":[128,141],"adapted":[132],"when":[133],"necessary,":[134],"steered":[135],"by":[136,145,152],"error":[139,143,160],"indicator.":[140],"global":[142],"introduced":[144],"controlled":[151],"robust":[154],"efficient":[156],"posteriori":[159],"estimator,":[161],"certifying":[162],"quality":[164],"result.":[167],"We":[168],"demonstrate":[169],"ArbiLoMod":[170],"coercive,":[173],"parameterized":[174],"example":[175],"changing":[177],"structure.":[178]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}