{"id":"https://openalex.org/W1993453919","doi":"https://doi.org/10.1137/130946307","title":"Stable Determination of an Inclusion in an Elastic Body by Boundary Measurements","display_name":"Stable Determination of an Inclusion in an Elastic Body by Boundary Measurements","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1993453919","doi":"https://doi.org/10.1137/130946307","mag":"1993453919"},"language":"en","primary_location":{"id":"doi:10.1137/130946307","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130946307","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1306.3349","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013580565","display_name":"Giovanni Alessandrini","orcid":"https://orcid.org/0000-0002-1975-1299"},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanni Alessandrini","raw_affiliation_strings":["University of Trieste"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Trieste","institution_ids":["https://openalex.org/I142444530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080272839","display_name":"Michele Di Cristo","orcid":"https://orcid.org/0000-0002-8154-4901"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Michele Di Cristo","raw_affiliation_strings":["Polytechnic University of Milan;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Polytechnic University of Milan;","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028631945","display_name":"Antonino Morassi","orcid":"https://orcid.org/0000-0002-2186-7688"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Antonino Morassi","raw_affiliation_strings":["University of Udine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Udine","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044602962","display_name":"Edi Rosset","orcid":"https://orcid.org/0000-0003-2354-0459"},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Edi Rosset","raw_affiliation_strings":["Dipartimento di Matematica e Geoscienze, Universit\u00e0 degli Studi di Trieste, via Valerio 12/1, 34127 Trieste, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Geoscienze, Universit\u00e0 degli Studi di Trieste, via Valerio 12/1, 34127 Trieste, Italy","institution_ids":["https://openalex.org/I142444530"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.495,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.94704704,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"46","issue":"4","first_page":"2692","last_page":"2729"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9973999857902527,"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/T11558","display_name":"Composite Material Mechanics","score":0.9962000250816345,"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/mathematics","display_name":"Mathematics","score":0.765920877456665},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.6694929599761963},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.620895504951477},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5973778367042542},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5874365568161011},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5615456700325012},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5315356850624084},{"id":"https://openalex.org/keywords/inclusion","display_name":"Inclusion (mineral)","score":0.4797576665878296},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.47236472368240356},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4637758135795593},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.425581693649292},{"id":"https://openalex.org/keywords/spheres","display_name":"SPHERES","score":0.4172137379646301},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.3498615324497223},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09126278758049011},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.08803167939186096}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.765920877456665},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.6694929599761963},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.620895504951477},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5973778367042542},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5874365568161011},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5615456700325012},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5315356850624084},{"id":"https://openalex.org/C109359841","wikidata":"https://www.wikidata.org/wiki/Q728944","display_name":"Inclusion (mineral)","level":2,"score":0.4797576665878296},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.47236472368240356},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4637758135795593},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.425581693649292},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.4172137379646301},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3498615324497223},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09126278758049011},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08803167939186096},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/130946307","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130946307","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1306.3349","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1306.3349","pdf_url":"https://arxiv.org/pdf/1306.3349","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.765.22","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.765.22","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1306.3349.pdf","raw_type":"text"},{"id":"pmh:oai:air.uniud.it:11390/1036565","is_oa":false,"landing_page_url":"http://hdl.handle.net/11390/1036565","pdf_url":null,"source":{"id":"https://openalex.org/S4306401163","display_name":"Institutional Research Information System (University of Udine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129043915","host_organization_name":"University of Udine","host_organization_lineage":["https://openalex.org/I129043915"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arts.units.it:11368/2800734","is_oa":false,"landing_page_url":"http://hdl.handle.net/11368/2800734","pdf_url":null,"source":{"id":"https://openalex.org/S4306400480","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:re.public.polimi.it:11311/862751","is_oa":false,"landing_page_url":"http://hdl.handle.net/11311/862751","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1306.3349","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1306.3349","pdf_url":"https://arxiv.org/pdf/1306.3349","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.800000011920929,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1591527151","https://openalex.org/W1591857223","https://openalex.org/W1676077084","https://openalex.org/W1969074328","https://openalex.org/W1972833685","https://openalex.org/W1978741852","https://openalex.org/W1981501932","https://openalex.org/W1981696101","https://openalex.org/W1993453919","https://openalex.org/W1998691708","https://openalex.org/W2002601137","https://openalex.org/W2003175071","https://openalex.org/W2004976805","https://openalex.org/W2008836828","https://openalex.org/W2032112896","https://openalex.org/W2034196422","https://openalex.org/W2048686704","https://openalex.org/W2055961369","https://openalex.org/W2061570073","https://openalex.org/W2062202343","https://openalex.org/W2066188711","https://openalex.org/W2066235513","https://openalex.org/W2077024482","https://openalex.org/W2077269463","https://openalex.org/W2158166759","https://openalex.org/W2326571829","https://openalex.org/W2329594348","https://openalex.org/W2596983589","https://openalex.org/W2963040546","https://openalex.org/W3003932625","https://openalex.org/W3098509216","https://openalex.org/W3100117670","https://openalex.org/W3100836325","https://openalex.org/W3103742914","https://openalex.org/W4233945695","https://openalex.org/W4248913130","https://openalex.org/W4299599402"],"related_works":["https://openalex.org/W3193357262","https://openalex.org/W4388311650","https://openalex.org/W5922282","https://openalex.org/W1974056099","https://openalex.org/W4245343541","https://openalex.org/W2386077341","https://openalex.org/W3178812599","https://openalex.org/W4287083812","https://openalex.org/W2895293991","https://openalex.org/W2094137097"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,16,34,43,53,76,85,89],"inverse":[3],"problem":[4],"of":[5,33,42,66,84,88,94],"identifying":[6],"an":[7,12,95],"unknown":[8,54],"inclusion":[9,35,96],"contained":[10],"in":[11,92],"elastic":[13],"body":[14,20],"by":[15,23],"Dirichlet-to-Neumann":[17],"map.":[18],"The":[19,30],"is":[21],"made":[22],"linearly":[24],"elastic,":[25],"homogeneous,":[26],"and":[27,38,79],"isotropic":[28],"material.":[29,45],"Lam\u00e9":[31,77,90],"moduli":[32],"are":[36,64],"constant":[37],"different":[39],"from":[40],"those":[41],"surrounding":[44],"Under":[46],"mild":[47],"a":[48,58,80],"priori":[49],"regularity":[50],"assumptions":[51],"on":[52,70],"defect,":[55],"we":[56],"establish":[57],"logarithmic":[59],"stability":[60],"estimate.":[61],"Main":[62],"tools":[63],"propagation":[65],"smallness":[67],"arguments":[68],"based":[69],"three-spheres":[71],"inequality":[72],"for":[73],"solutions":[74],"to":[75],"system":[78,91],"refined":[81],"asymptotic":[82],"analysis":[83],"fundamental":[86],"solution":[87],"presence":[93],"which":[97],"shows":[98],"surprising":[99],"features.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":5}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2016-06-24T00:00:00"}