{"id":"https://openalex.org/W1993516059","doi":"https://doi.org/10.1137/130904843","title":"Stability Of A Force-Based Hybrid Method With Planar Sharp Interface","display_name":"Stability Of A Force-Based Hybrid Method With Planar Sharp Interface","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1993516059","doi":"https://doi.org/10.1137/130904843","mag":"1993516059"},"language":"en","primary_location":{"id":"doi:10.1137/130904843","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130904843","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":"http://hdl.handle.net/10161/14098","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061472917","display_name":"Jianfeng Lu","orcid":"https://orcid.org/0000-0001-6255-5165"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jianfeng Lu","raw_affiliation_strings":["Duke University"],"affiliations":[{"raw_affiliation_string":"Duke University","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111939462","display_name":"Pingbing Ming","orcid":"https://orcid.org/0000-0002-0779-1576"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pingbing Ming","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061472917"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":null,"apc_paid":null,"fwci":1.2872,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.78082159,"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":"2005","last_page":"2026"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9972000122070312,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9972000122070312,"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":0.9921000003814697,"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"}},{"id":"https://openalex.org/T11382","display_name":"Fluid Dynamics and Heat Transfer","score":0.9908000230789185,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.7500771284103394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6861152052879333},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6096805334091187},{"id":"https://openalex.org/keywords/hexagonal-lattice","display_name":"Hexagonal lattice","score":0.5349048376083374},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.5068483948707581},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.4727904498577118},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.43898528814315796},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.43190568685531616},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42241132259368896},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.16672572493553162},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12748819589614868},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11654621362686157}],"concepts":[{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.7500771284103394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6861152052879333},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6096805334091187},{"id":"https://openalex.org/C90626534","wikidata":"https://www.wikidata.org/wiki/Q4523381","display_name":"Hexagonal lattice","level":3,"score":0.5349048376083374},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.5068483948707581},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.4727904498577118},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.43898528814315796},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.43190568685531616},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42241132259368896},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.16672572493553162},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12748819589614868},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11654621362686157},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C155355069","wikidata":"https://www.wikidata.org/wiki/Q575224","display_name":"Antiferromagnetism","level":2,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/130904843","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130904843","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:dukespace.lib.duke.edu:10161/14098","is_oa":true,"landing_page_url":"http://hdl.handle.net/10161/14098","pdf_url":null,"source":{"id":"https://openalex.org/S4306400687","display_name":"DukeSpace (Duke University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I170897317","host_organization_name":"Duke University","host_organization_lineage":["https://openalex.org/I170897317"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:dukespace.lib.duke.edu:10161/14098","is_oa":true,"landing_page_url":"http://hdl.handle.net/10161/14098","pdf_url":null,"source":{"id":"https://openalex.org/S4306400687","display_name":"DukeSpace (Duke University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I170897317","host_organization_name":"Duke University","host_organization_lineage":["https://openalex.org/I170897317"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W118934230","https://openalex.org/W377201621","https://openalex.org/W1966223778","https://openalex.org/W1972007667","https://openalex.org/W1983729994","https://openalex.org/W1993278445","https://openalex.org/W1997397055","https://openalex.org/W2001930367","https://openalex.org/W2002927346","https://openalex.org/W2010806444","https://openalex.org/W2015939454","https://openalex.org/W2025082796","https://openalex.org/W2027131615","https://openalex.org/W2030430698","https://openalex.org/W2035269858","https://openalex.org/W2037798328","https://openalex.org/W2038885598","https://openalex.org/W2053087016","https://openalex.org/W2061594248","https://openalex.org/W2061993727","https://openalex.org/W2067880772","https://openalex.org/W2069627726","https://openalex.org/W2073370369","https://openalex.org/W2076762517","https://openalex.org/W2076921967","https://openalex.org/W2083008699","https://openalex.org/W2088082536","https://openalex.org/W2111391634","https://openalex.org/W2152973912","https://openalex.org/W2158965912","https://openalex.org/W2163821321","https://openalex.org/W2398055650","https://openalex.org/W2745665481","https://openalex.org/W3098399558","https://openalex.org/W4301694655"],"related_works":["https://openalex.org/W3039652863","https://openalex.org/W2057116471","https://openalex.org/W4308453386","https://openalex.org/W2915551597","https://openalex.org/W2073140963","https://openalex.org/W1979426517","https://openalex.org/W3019091394","https://openalex.org/W4289550772","https://openalex.org/W4382619402","https://openalex.org/W151168977"],"abstract_inverted_index":{"We":[0,20,101],"study":[1],"a":[2,12,109],"force-based":[3],"hybrid":[4,30,64],"method":[5],"that":[6,24],"couples":[7],"an":[8],"atomistic":[9,37,78],"model":[10,15,38],"with":[11,16,39,66,74,113],"Cauchy--Born":[13],"elasticity":[14],"sharp":[17,68],"transition":[18],"interface.":[19,115],"identify":[21],"stability":[22,93],"conditions":[23],"guarantee":[25],"the":[26,29,33,36,44,50,55,88,103],"convergence":[27],"of":[28,35,54,87,95,98],"scheme":[31,107],"to":[32,58,105],"solution":[34],"second":[40],"order":[41],"accuracy,":[42],"as":[43],"ratio":[45],"between":[46],"lattice":[47,82,112],"parameter":[48],"and":[49,80,92],"characteristic":[51],"length":[52],"scale":[53],"deformation":[56],"tends":[57],"zero.":[59],"Convergence":[60],"is":[61],"established":[62],"for":[63,70,108],"schemes":[65],"planar":[67,114],"interface":[69],"systems":[71,97],"without":[72],"defects,":[73],"general":[75],"finite":[76],"range":[77],"potential":[79],"simple":[81],"structure.":[83],"The":[84],"key":[85],"ingredients":[86],"proof":[89],"are":[90],"regularity":[91],"analysis":[94],"elliptic":[96],"difference":[99],"equations.":[100],"apply":[102],"results":[104],"atomistic-to-continuum":[106],"two-dimensional":[110],"triangular":[111]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}