{"id":"https://openalex.org/W2727042074","doi":"https://doi.org/10.1137/16m1069791","title":"Numerical Solution of a F\u00f6ppl--von K\u00e1rm\u00e1n Model","display_name":"Numerical Solution of a F\u00f6ppl--von K\u00e1rm\u00e1n Model","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2727042074","doi":"https://doi.org/10.1137/16m1069791","mag":"2727042074"},"language":"id","primary_location":{"id":"doi:10.1137/16m1069791","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1069791","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/A5017359935","display_name":"S\u00f6ren Bartels","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S\u00f6ren Bartels","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5017359935"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3822,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.5922259,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"55","issue":"3","first_page":"1505","last_page":"1524"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T11366","display_name":"Elasticity and Material Modeling","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T13261","display_name":"Elasticity and Wave Propagation","score":0.9990000128746033,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8491955995559692},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7712149620056152},{"id":"https://openalex.org/keywords/elastic-energy","display_name":"Elastic energy","score":0.48565566539764404},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4797409772872925},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4618951082229614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4601600170135498},{"id":"https://openalex.org/keywords/numerical-approximation","display_name":"Numerical approximation","score":0.436676949262619},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.40949195623397827},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16975101828575134},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.12961268424987793}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8491955995559692},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7712149620056152},{"id":"https://openalex.org/C14041564","wikidata":"https://www.wikidata.org/wiki/Q891408","display_name":"Elastic energy","level":2,"score":0.48565566539764404},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4797409772872925},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4618951082229614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4601600170135498},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.436676949262619},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.40949195623397827},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16975101828575134},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.12961268424987793}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/16m1069791","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1069791","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":[{"score":0.8999999761581421,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1987872457","https://openalex.org/W1993682504","https://openalex.org/W1999915508","https://openalex.org/W2006272945","https://openalex.org/W2010296342","https://openalex.org/W2012274761","https://openalex.org/W2066465789","https://openalex.org/W2080124015","https://openalex.org/W2083150021","https://openalex.org/W2093402075","https://openalex.org/W2153216552","https://openalex.org/W2163055580","https://openalex.org/W2169688300","https://openalex.org/W2342042923","https://openalex.org/W2963837108","https://openalex.org/W2964065979","https://openalex.org/W3099343978","https://openalex.org/W3101363292","https://openalex.org/W3101665414"],"related_works":["https://openalex.org/W4388482258","https://openalex.org/W1997932535","https://openalex.org/W2010049312","https://openalex.org/W2963771406","https://openalex.org/W2169403347","https://openalex.org/W2152819099","https://openalex.org/W2162623007","https://openalex.org/W2061012261","https://openalex.org/W2009695399","https://openalex.org/W2053129613"],"abstract_inverted_index":{"The":[0,59],"formation":[1],"of":[2,10,67],"folds":[3],"and":[4,33,40,72],"ridges":[5],"in":[6,19],"the":[7],"elastic":[8,12],"deformation":[9],"thin":[11],"sheets":[13],"is":[14,28],"related":[15],"to":[16,31,50],"certain":[17],"instabilities":[18],"mathematical":[20],"models":[21],"derived":[22],"from":[23,38],"continuum":[24],"mechanics.":[25],"Their":[26],"approximation":[27],"difficult":[29],"due":[30],"nonuniqueness":[32],"localization":[34],"effects":[35,48],"which":[36],"result":[37],"nonlinearities":[39],"singular":[41],"perturbations.":[42],"Numerical":[43],"methods":[44],"for":[45],"simulating":[46],"these":[47],"have":[49],"be":[51],"justified":[52],"without":[53],"unrealistic":[54],"assumptions":[55],"on":[56],"exact":[57],"solutions.":[58],"paper":[60],"proposes":[61],"a":[62,68],"convergent":[63],"finite":[64],"element":[65],"discretization":[66],"F\u00f6ppl--von":[69],"K\u00e1rm\u00e1n":[70],"model":[71],"devises":[73],"an":[74],"efficient":[75],"energy":[76],"decreasing":[77],"iterative":[78],"scheme.":[79]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}