{"id":"https://openalex.org/W2139045013","doi":"https://doi.org/10.1137/090781267","title":"Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions","display_name":"Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2139045013","doi":"https://doi.org/10.1137/090781267","mag":"2139045013"},"language":"en","primary_location":{"id":"doi:10.1137/090781267","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090781267","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100722039","display_name":"Kun Zhou","orcid":"https://orcid.org/0000-0001-7660-2911"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kun Zhou","raw_affiliation_strings":["zhou@math.psu.edu and qdu@math.psu.edu#TAB#"],"affiliations":[{"raw_affiliation_string":"zhou@math.psu.edu and qdu@math.psu.edu#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056115552","display_name":"Qiang Du","orcid":"https://orcid.org/0000-0002-1067-8937"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qiang Du","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100722039"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":18.6082,"has_fulltext":false,"cited_by_count":242,"citation_normalized_percentile":{"value":0.99652303,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"48","issue":"5","first_page":"1759","last_page":"1780"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":1.0,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9879999756813049,"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9757000207901001,"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/peridynamics","display_name":"Peridynamics","score":0.9323175549507141},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6646440029144287},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5504806637763977},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.49288439750671387},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.49212783575057983},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.485000342130661},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4656662940979004},{"id":"https://openalex.org/keywords/bar","display_name":"Bar (unit)","score":0.46012306213378906},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.4189165234565735},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3348430395126343},{"id":"https://openalex.org/keywords/continuum-mechanics","display_name":"Continuum mechanics","score":0.1998959481716156},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.18099543452262878},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16453778743743896},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15068084001541138}],"concepts":[{"id":"https://openalex.org/C142600616","wikidata":"https://www.wikidata.org/wiki/Q4351291","display_name":"Peridynamics","level":3,"score":0.9323175549507141},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6646440029144287},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5504806637763977},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.49288439750671387},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.49212783575057983},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.485000342130661},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4656662940979004},{"id":"https://openalex.org/C188721877","wikidata":"https://www.wikidata.org/wiki/Q103510","display_name":"Bar (unit)","level":2,"score":0.46012306213378906},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.4189165234565735},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3348430395126343},{"id":"https://openalex.org/C84035572","wikidata":"https://www.wikidata.org/wiki/Q193463","display_name":"Continuum mechanics","level":2,"score":0.1998959481716156},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.18099543452262878},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16453778743743896},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15068084001541138},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/090781267","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090781267","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W574578250","https://openalex.org/W1493981498","https://openalex.org/W1569512514","https://openalex.org/W1969333017","https://openalex.org/W1970969242","https://openalex.org/W1974725498","https://openalex.org/W1982427175","https://openalex.org/W1985849851","https://openalex.org/W1990258816","https://openalex.org/W1993193430","https://openalex.org/W1993499036","https://openalex.org/W2000897527","https://openalex.org/W2001730319","https://openalex.org/W2007393042","https://openalex.org/W2008086878","https://openalex.org/W2012828992","https://openalex.org/W2038162840","https://openalex.org/W2044786534","https://openalex.org/W2066970061","https://openalex.org/W2071636135","https://openalex.org/W2096443448","https://openalex.org/W2097854981","https://openalex.org/W2123753708","https://openalex.org/W2133684960","https://openalex.org/W2143206135","https://openalex.org/W2163377433","https://openalex.org/W2201413392","https://openalex.org/W4251185801"],"related_works":["https://openalex.org/W2132729321","https://openalex.org/W3013043199","https://openalex.org/W1993403100","https://openalex.org/W2895843456","https://openalex.org/W2956918742","https://openalex.org/W2308035364","https://openalex.org/W3013142834","https://openalex.org/W4380203312","https://openalex.org/W4232061221","https://openalex.org/W3019168637"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"the":[5,62,66],"linear":[6],"bond-based":[7],"nonlocal":[8,20],"peridynamic":[9,52,70],"models":[10,71],"with":[11,18],"a":[12,32,38,43,48],"particular":[13],"focus":[14],"on":[15,37,47],"problems":[16,28],"associated":[17,55],"nonstandard":[19],"displacement":[21],"loading":[22],"conditions.":[23],"Both":[24],"stationary":[25],"and":[26,41,54],"time-dependent":[27],"are":[29,58,72],"considered":[30],"for":[31,42],"one-dimensional":[33],"scalar":[34],"equation":[35],"defined":[36,46],"finite":[39],"bar":[40],"two-dimensional":[44],"system":[45],"square.":[49],"The":[50],"related":[51],"operators":[53],"functional":[56],"spaces":[57],"analyzed.":[59],"Applications":[60],"to":[61,69],"numerical":[63],"analysis":[64],"of":[65],"finite-dimensional":[67],"approximations":[68],"also":[73],"illustrated.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":27},{"year":2019,"cited_by_count":25},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":25},{"year":2016,"cited_by_count":17},{"year":2015,"cited_by_count":19},{"year":2014,"cited_by_count":17},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":8}],"updated_date":"2026-03-24T08:02:53.985720","created_date":"2025-10-10T00:00:00"}
