{"id":"https://openalex.org/W2033827320","doi":"https://doi.org/10.1137/13091734x","title":"An Optimization-based Atomistic-to-Continuum Coupling Method","display_name":"An Optimization-based Atomistic-to-Continuum Coupling Method","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2033827320","doi":"https://doi.org/10.1137/13091734x","mag":"2033827320"},"language":"en","primary_location":{"id":"doi:10.1137/13091734x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/13091734x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.osti.gov/biblio/1184468","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075918179","display_name":"Derek Olson","orcid":null},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Derek Olson","raw_affiliation_strings":["Univ. of Minnesota, Minneapolis, MN (United States). School of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of Minnesota, Minneapolis, MN (United States). School of Mathematics","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022276974","display_name":"Pavel Bochev","orcid":"https://orcid.org/0000-0002-8721-7119"},"institutions":[{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pavel B. Bochev","raw_affiliation_strings":["Sandia National Laboratories NM"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories NM","institution_ids":["https://openalex.org/I4210104735"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036018970","display_name":"Mitchell Luskin","orcid":"https://orcid.org/0000-0003-1981-199X"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mitchell Luskin","raw_affiliation_strings":["Univ. of Minnesota, Minneapolis, MN (United States). School of Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of Minnesota, Minneapolis, MN (United States). School of Mathematics","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007354935","display_name":"Alexander V. Shapeev","orcid":"https://orcid.org/0000-0002-7497-5594"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I4210101327","display_name":"Twin Cities Orthopedics","ror":"https://ror.org/01en4s460","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210101327"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander V. Shapeev","raw_affiliation_strings":["University of Minnesota Twin Cities"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Minnesota Twin Cities","institution_ids":["https://openalex.org/I4210101327","https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0016,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.86450356,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"52","issue":"4","first_page":"2183","last_page":"2204"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10204","display_name":"Microstructure and mechanical properties","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10204","display_name":"Microstructure and mechanical properties","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10923","display_name":"Force Microscopy Techniques and Applications","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11558","display_name":"Composite Material Mechanics","score":0.998199999332428,"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/optimization-problem","display_name":"Optimization problem","score":0.5195791721343994},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4970610439777374},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.4923344850540161},{"id":"https://openalex.org/keywords/constrained-optimization-problem","display_name":"Constrained optimization problem","score":0.4194210469722748},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4046531021595001},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40246641635894775},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3991852402687073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3595294952392578},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3083309829235077},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.08704718947410583},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08656466007232666}],"concepts":[{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5195791721343994},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4970610439777374},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4923344850540161},{"id":"https://openalex.org/C2989514635","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization problem","level":3,"score":0.4194210469722748},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4046531021595001},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40246641635894775},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3991852402687073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3595294952392578},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3083309829235077},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.08704718947410583},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08656466007232666}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/13091734x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/13091734x","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:osti.gov:1184468","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1184468","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"pmh:oai:osti.gov:1184468","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1184468","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W12321524","https://openalex.org/W1490754829","https://openalex.org/W1708679080","https://openalex.org/W1966223778","https://openalex.org/W1969593540","https://openalex.org/W1976281487","https://openalex.org/W1981148925","https://openalex.org/W1983729994","https://openalex.org/W1990668712","https://openalex.org/W1997397055","https://openalex.org/W2001452942","https://openalex.org/W2003446697","https://openalex.org/W2005390260","https://openalex.org/W2017430744","https://openalex.org/W2017929480","https://openalex.org/W2022903245","https://openalex.org/W2024190110","https://openalex.org/W2027131615","https://openalex.org/W2030430698","https://openalex.org/W2043848528","https://openalex.org/W2053087016","https://openalex.org/W2058096894","https://openalex.org/W2073575966","https://openalex.org/W2081774754","https://openalex.org/W2088805075","https://openalex.org/W2088989451","https://openalex.org/W2094126615","https://openalex.org/W2094960154","https://openalex.org/W2127641151","https://openalex.org/W2128691701","https://openalex.org/W2130261940","https://openalex.org/W2137897420","https://openalex.org/W2152156571","https://openalex.org/W2962942108","https://openalex.org/W3098399558","https://openalex.org/W3102769863"],"related_works":["https://openalex.org/W3217415483","https://openalex.org/W4285677055","https://openalex.org/W3104770499","https://openalex.org/W1992731528","https://openalex.org/W2007843488","https://openalex.org/W1994436307","https://openalex.org/W2795565301","https://openalex.org/W1987021796","https://openalex.org/W2148472017","https://openalex.org/W4387886124"],"abstract_inverted_index":{"We":[0,96],"present":[1,97],"a":[2,19,106,113],"new":[3],"optimization-based":[4],"method":[5,101],"for":[6],"atomistic-to-continuum":[7],"(AtC)":[8],"coupling.":[9],"The":[10,36],"main":[11],"idea":[12],"is":[13,39],"to":[14,40],"cast":[15],"the":[16,28,31,42,45,51,54,58,66,73,85,92,100,103],"latter":[17],"as":[18,82],"constrained":[20],"optimization":[21,37,86],"problem":[22,87],"with":[23,117],"virtual":[24],"Dirichlet":[25],"controls":[26],"on":[27,50],"interfaces":[29],"between":[30,44,53],"atomistic":[32,46,59,74],"and":[33,47,60,75,78,98],"continuum":[34,48,61,76],"subdomains.":[35],"objective":[38],"minimize":[41],"error":[43],"solutions":[49],"overlap":[52],"two":[55],"subdomains,":[56],"while":[57],"force":[62],"balance":[63],"equations":[64],"provide":[65],"constraints.":[67],"Separation,":[68],"rather":[69],"then":[70],"blending":[71],"of":[72,105,109],"problems,":[77],"their":[79],"subsequent":[80],"use":[81],"constraints":[83],"in":[84,102],"distinguishes":[88],"our":[89],"approach":[90],"from":[91],"existing":[93],"AtC":[94],"formulations.":[95],"analyze":[99],"context":[104],"one-dimensional":[107],"chain":[108],"atoms":[110],"modeled":[111],"using":[112],"linearized":[114],"two-body":[115],"potential":[116],"next-nearest":[118],"neighbor":[119],"interactions.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
