{"id":"https://openalex.org/W2975436976","doi":"https://doi.org/10.1137/19m1249606","title":"On the Behavior of Clamped Plates under Large Compression","display_name":"On the Behavior of Clamped Plates under Large Compression","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2975436976","doi":"https://doi.org/10.1137/19m1249606","mag":"2975436976"},"language":"en","primary_location":{"id":"doi:10.1137/19m1249606","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1249606","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/272623","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064795422","display_name":"Pedro R. S. Antunes","orcid":"https://orcid.org/0000-0003-1969-1860"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I201025148","display_name":"Universidade Aberta","ror":"https://ror.org/02rv3w387","country_code":"PT","type":"education","lineage":["https://openalex.org/I201025148"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"P. R. S. Antunes","raw_affiliation_strings":["Sec\u00e7\u00e3o de Matem\u00e1tica, Departmento de Ci\u00eancias e Tecnologia, Universidade Aberta, Pal\u00e1cio Ceia, 1269-001 Lisbon, Portugal, and Grupo de F\u00edsica Matem\u00e1tica, Faculdade de Ci\u00eancias,","Univer-sidade de Lisboa, Campo Grande, Edif\u00edcio C6, P-1749-016 Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sec\u00e7\u00e3o de Matem\u00e1tica, Departmento de Ci\u00eancias e Tecnologia, Universidade Aberta, Pal\u00e1cio Ceia, 1269-001 Lisbon, Portugal, and Grupo de F\u00edsica Matem\u00e1tica, Faculdade de Ci\u00eancias,","institution_ids":["https://openalex.org/I201025148"]},{"raw_affiliation_string":"Univer-sidade de Lisboa, Campo Grande, Edif\u00edcio C6, P-1749-016 Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018726887","display_name":"Davide Buoso","orcid":"https://orcid.org/0000-0002-1451-4358"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"D. Buoso","raw_affiliation_strings":["EPFL, SB MATH SCI-SB-JS, Station 8, CH-1015 Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-1451-4358","affiliations":[{"raw_affiliation_string":"EPFL, SB MATH SCI-SB-JS, Station 8, CH-1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006030760","display_name":"Pedro Freitas","orcid":"https://orcid.org/0000-0002-2007-5259"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"P. Freitas","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, Universidade de Lisboa, P-1049-001 Lisboa, Portugal, and Grupo de F\u00edsica Matem\u00e1tica, Faculdade de Ci\u00eancias,","Universidade de Lisboa, Campo Grande, Edif\u00edcio C6, P-1749-016 Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, Universidade de Lisboa, P-1049-001 Lisboa, Portugal, and Grupo de F\u00edsica Matem\u00e1tica, Faculdade de Ci\u00eancias,","institution_ids":["https://openalex.org/I141596103"]},{"raw_affiliation_string":"Universidade de Lisboa, Campo Grande, Edif\u00edcio C6, P-1749-016 Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5332,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.69402224,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"79","issue":"5","first_page":"1872","last_page":"1891"},"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.9970999956130981,"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/eigenfunction","display_name":"Eigenfunction","score":0.8488650918006897},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8329724073410034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6918740272521973},{"id":"https://openalex.org/keywords/compression","display_name":"Compression (physics)","score":0.6200293302536011},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5898513197898865},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.568699836730957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5653814673423767},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5310307741165161},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.42382943630218506},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12433981895446777}],"concepts":[{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.8488650918006897},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8329724073410034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6918740272521973},{"id":"https://openalex.org/C180016635","wikidata":"https://www.wikidata.org/wiki/Q2712821","display_name":"Compression (physics)","level":2,"score":0.6200293302536011},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5898513197898865},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.568699836730957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5653814673423767},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5310307741165161},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.42382943630218506},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12433981895446777},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/19m1249606","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1249606","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:272623","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/272623","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"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":"research article"},{"id":"pmh:oai:repositorioaberto.uab.pt:10400.2/9683","is_oa":true,"landing_page_url":"http://hdl.handle.net/10400.2/9683","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:272623","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/272623","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"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":"research article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8013135575","display_name":null,"funder_award_id":"IF/00177/2013","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G8092904476","display_name":"Quantidades espectrais extremas e problemas relacionados","funder_award_id":"PTDC/MAT-CAL/4334/2014","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1514532039","https://openalex.org/W1982071274","https://openalex.org/W1993904723","https://openalex.org/W1998006824","https://openalex.org/W2009446424","https://openalex.org/W2046023215","https://openalex.org/W2053533023","https://openalex.org/W2076788504","https://openalex.org/W2079887183","https://openalex.org/W2082186582","https://openalex.org/W2091135705","https://openalex.org/W2092223632","https://openalex.org/W2186831757","https://openalex.org/W2320991400","https://openalex.org/W2607251466","https://openalex.org/W2799065230","https://openalex.org/W2964149648","https://openalex.org/W3105139655"],"related_works":["https://openalex.org/W2014800978","https://openalex.org/W1969730698","https://openalex.org/W1552276833","https://openalex.org/W2132583619","https://openalex.org/W1995228206","https://openalex.org/W2093822129","https://openalex.org/W3160358654","https://openalex.org/W2013379693","https://openalex.org/W2372801173","https://openalex.org/W2147129399"],"abstract_inverted_index":{"We":[0],"determine":[1],"the":[2,20,27,40,44,55,58,78,82,88],"asymptotic":[3],"behavior":[4],"of":[5,7,19,29,39,57,74,77,81],"eigenvalues":[6,18],"clamped":[8],"plates":[9],"under":[10],"large":[11],"compression":[12],"by":[13],"relating":[14],"this":[15,67],"problem":[16],"to":[17],"Laplacian":[21],"with":[22,87],"Robin":[23],"boundary":[24,64],"conditions.":[25],"Using":[26],"method":[28],"fundamental":[30],"solutions,":[31],"we":[32,49],"then":[33],"carry":[34],"out":[35],"a":[36,63],"numerical":[37],"study":[38],"extremal":[41,83],"domains":[42,76],"for":[43],"first":[45,79],"eigenvalue,":[46],"from":[47],"which":[48],"see":[50],"that":[51],"these":[52],"depend":[53],"on":[54],"value":[56],"compression,":[59],"and":[60],"start":[61],"developing":[62],"structure":[65],"as":[66],"parameter":[68],"is":[69],"increased.":[70],"The":[71],"corresponding":[72],"number":[73],"nodal":[75],"eigenfunction":[80],"domain":[84],"also":[85],"increases":[86],"compression.":[89]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-13T07:04:57.449891","created_date":"2025-10-10T00:00:00"}