{"id":"https://openalex.org/W3015989175","doi":"https://doi.org/10.1137/18m117248x","title":"Multiscale Finite Elements for Transient Advection-Diffusion Equations through Advection-Induced Coordinates","display_name":"Multiscale Finite Elements for Transient Advection-Diffusion Equations through Advection-Induced Coordinates","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3015989175","doi":"https://doi.org/10.1137/18m117248x","mag":"3015989175"},"language":"en","primary_location":{"id":"doi:10.1137/18m117248x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m117248x","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 &amp; Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042324279","display_name":"Konrad Simon","orcid":"https://orcid.org/0000-0003-1525-3396"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Konrad Simon","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1525-3396","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5043502670","display_name":"J\u00f6rn Behrens","orcid":"https://orcid.org/0000-0001-9836-8716"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J\u00f6rn Behrens","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-9836-8716","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1457,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50816177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","issue":"2","first_page":"543","last_page":"571"},"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":0.9990000128746033,"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":0.9951000213623047,"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/advection","display_name":"Advection","score":0.8761724233627319},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5711895227432251},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.5181564092636108},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5131667256355286},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.47918426990509033},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.46406134963035583},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4491908848285675},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4429522752761841},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4374273121356964},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.402749240398407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3230817914009094},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.282875120639801},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23844313621520996},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1305992305278778}],"concepts":[{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.8761724233627319},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5711895227432251},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.5181564092636108},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5131667256355286},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.47918426990509033},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.46406134963035583},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4491908848285675},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4429522752761841},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4374273121356964},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.402749240398407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3230817914009094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.282875120639801},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23844313621520996},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1305992305278778},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/18m117248x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m117248x","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 &amp; Simulation","raw_type":"journal-article"},{"id":"pmh:oai:oceanrep.geomar.de:49685","is_oa":false,"landing_page_url":"http://oceanrep.geomar.de/49685/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400264","display_name":"Helmholtz Centre for Ocean Research Kiel (GEOMAR)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I34403800","host_organization_name":"GEOMAR Helmholtz Centre for Ocean Research Kiel","host_organization_lineage":["https://openalex.org/I34403800"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"    Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 18  (2).   pp. 543-571.   ","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.8500000238418579,"display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G7868618075","display_name":null,"funder_award_id":"FKZ: 01LP1513A","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1966480196","https://openalex.org/W1966922361","https://openalex.org/W1980787167","https://openalex.org/W1982093426","https://openalex.org/W1990157709","https://openalex.org/W2005492431","https://openalex.org/W2014983931","https://openalex.org/W2029918260","https://openalex.org/W2043273616","https://openalex.org/W2070033465","https://openalex.org/W2078045751","https://openalex.org/W2108808400","https://openalex.org/W2138940269","https://openalex.org/W2157721313"],"related_works":["https://openalex.org/W3036101264","https://openalex.org/W2163151373","https://openalex.org/W1986676657","https://openalex.org/W4238257821","https://openalex.org/W2165001118","https://openalex.org/W2022713607","https://openalex.org/W2794551621","https://openalex.org/W4246396821","https://openalex.org/W1523233633","https://openalex.org/W2084691910"],"abstract_inverted_index":{"Long":[0],"simulation":[1],"times":[2],"in":[3,66,82,105],"climate":[4,83],"science":[5],"typically":[6,33],"require":[7],"coarse":[8,42,109],"grids":[9],"due":[10],"to":[11,40,88],"computational":[12],"constraints.":[13],"Nonetheless,":[14],"unresolved":[15],"subscale":[16],"information":[17],"significantly":[18],"influences":[19],"the":[20,41,85,100,106],"prognostic":[21],"variables":[22,44],"and":[23,120,137],"cannot":[24],"be":[25,89],"neglected":[26],"for":[27],"reliable":[28],"long-term":[29],"simulations.":[30],"This":[31],"is":[32,117],"done":[34],"via":[35],"parametrizations,":[36],"but":[37],"their":[38],"coupling":[39],"grid":[43],"often":[45],"involves":[46],"simple":[47],"heuristics.":[48],"We":[49,91],"explore":[50],"a":[51,125,128],"novel":[52],"upscaling":[53],"approach":[54,86],"inspired":[55],"by":[56,94],"multiscale":[57],"finite":[58],"element":[59,110],"methods.":[60],"These":[61],"methods":[62],"are":[63],"well":[64],"established":[65],"porous":[67],"media":[68],"applications,":[69],"where":[70],"mostly":[71],"stationary":[72,75],"or":[73],"quasi":[74],"situations":[76],"prevail.":[77],"In":[78],"advection-dominated":[79],"problems":[80],"arising":[81],"simulations,":[84],"needs":[87],"adjusted.":[90],"do":[92],"so":[93],"performing":[95],"coordinate":[96],"transforms":[97],"that":[98],"make":[99],"effect":[101],"of":[102,108,114],"transport":[103],"milder":[104],"vicinity":[107],"boundaries.":[111],"The":[112],"idea":[113],"our":[115],"method":[116],"quite":[118],"general,":[119],"we":[121],"demonstrate":[122],"it":[123],"as":[124],"proof-of-concept":[126],"on":[127],"one-dimensional":[129],"passive":[130],"advection-diffusion":[131],"equation":[132],"with":[133],"oscillatory":[134],"background":[135],"velocity":[136],"diffusion.":[138]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
