{"id":"https://openalex.org/W2551370909","doi":"https://doi.org/10.1137/16m1104573","title":"Thermal Tomography with Unknown Boundary","display_name":"Thermal Tomography with Unknown Boundary","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2551370909","doi":"https://doi.org/10.1137/16m1104573","mag":"2551370909"},"language":"en","primary_location":{"id":"doi:10.1137/16m1104573","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1104573","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1611.06862","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003994817","display_name":"Nuutti Hyv\u00f6nen","orcid":"https://orcid.org/0000-0001-6715-8337"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Nuutti Hyv\u00f6nen","raw_affiliation_strings":["Aalto University, Department of Mathematics and Systems Analysis, P.O. Box 11100, FI-00076 Aalto, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aalto University, Department of Mathematics and Systems Analysis, P.O. Box 11100, FI-00076 Aalto, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056491705","display_name":"Lauri Mustonen","orcid":"https://orcid.org/0000-0002-8390-2151"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lauri Mustonen","raw_affiliation_strings":["Department of Mathematics and Computer Science, Emory University, 400 Dowman Dr., At-lanta, GA 30322"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, 400 Dowman Dr., At-lanta, GA 30322","institution_ids":["https://openalex.org/I150468666"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03089255,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"3","first_page":"B663","last_page":"B683"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9976999759674072,"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":0.9976999759674072,"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/T12994","display_name":"Infrared Thermography in Medicine","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12386","display_name":"Advanced X-ray and CT Imaging","score":0.9843000173568726,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.645266592502594},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.6379385590553284},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5323432087898254},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5280162692070007},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.48054414987564087},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4569755494594574},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4491559565067291},{"id":"https://openalex.org/keywords/thermal-conductivity","display_name":"Thermal conductivity","score":0.42976611852645874},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4289948046207428},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4108855426311493},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3584260940551758},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.356810986995697},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3397752046585083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16292855143547058},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.14559230208396912},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12183433771133423},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10071635246276855},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08080863952636719}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.645266592502594},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.6379385590553284},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5323432087898254},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5280162692070007},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.48054414987564087},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4569755494594574},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4491559565067291},{"id":"https://openalex.org/C97346530","wikidata":"https://www.wikidata.org/wiki/Q487005","display_name":"Thermal conductivity","level":2,"score":0.42976611852645874},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4289948046207428},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4108855426311493},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3584260940551758},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.356810986995697},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3397752046585083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16292855143547058},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.14559230208396912},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12183433771133423},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10071635246276855},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08080863952636719},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/16m1104573","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1104573","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1611.06862","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.06862","pdf_url":"https://arxiv.org/pdf/1611.06862","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:arXiv.org:1611.06862","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1611.06862","pdf_url":"https://arxiv.org/pdf/1611.06862","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1611.06862","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1611.06862","pdf_url":"https://arxiv.org/pdf/1611.06862","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[],"awards":[{"id":"https://openalex.org/G5587640731","display_name":null,"funder_award_id":"267789","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"}],"funders":[{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"},{"id":"https://openalex.org/F4320323337","display_name":"Tekniikan Edist\u00e4miss\u00e4\u00e4ti\u00f6","ror":"https://ror.org/03f420b93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1970476229","https://openalex.org/W1980110014","https://openalex.org/W2002303563","https://openalex.org/W2019143734","https://openalex.org/W2028287198","https://openalex.org/W2041137072","https://openalex.org/W2069975659","https://openalex.org/W2080169380","https://openalex.org/W2083754610","https://openalex.org/W2105214874","https://openalex.org/W2134828567","https://openalex.org/W2243537063","https://openalex.org/W2299367673","https://openalex.org/W2469457641","https://openalex.org/W2962852715","https://openalex.org/W3098566563"],"related_works":["https://openalex.org/W3206112933","https://openalex.org/W2080066312","https://openalex.org/W1991898186","https://openalex.org/W2154472898","https://openalex.org/W4247673309","https://openalex.org/W2554266794","https://openalex.org/W1971019300","https://openalex.org/W2000479441","https://openalex.org/W3119296301","https://openalex.org/W4220670425"],"abstract_inverted_index":{"Thermal":[0],"tomography":[1,28],"is":[2,53,109],"an":[3],"imaging":[4],"technique":[5],"for":[6,60],"deducing":[7],"information":[8,38],"about":[9],"the":[10,40,44,61,64,68,71,74,80,97,105],"internal":[11],"structure":[12],"of":[13,43,63,104],"a":[14,31,57],"physical":[15],"body":[16,81],"from":[17],"temperature":[18,65],"measurements":[19,66],"on":[20,39,67,115],"its":[21,100],"boundary.":[22],"This":[23],"work":[24],"considers":[25],"time-dependent":[26],"thermal":[27,69],"modeled":[29],"by":[30,111],"parabolic":[32],"initial/boundary":[33],"value":[34],"problem":[35],"without":[36],"accurate":[37],"exterior":[41],"shape":[42],"examined":[45],"object.":[46],"The":[47,102],"adaptive":[48],"sparse":[49],"pseudospectral":[50],"approximation":[51],"method":[52],"used":[54],"to":[55],"form":[56],"polynomial":[58],"surrogate":[59,98],"dependence":[62],"conductivity,":[70],"heat":[72,76],"capacity,":[73],"boundary":[75],"transfer":[77],"coefficient,":[78],"and":[79,99],"shape.":[82],"These":[83],"quantities":[84],"can":[85],"then":[86],"be":[87],"efficiently":[88],"reconstructed":[89],"via":[90],"nonlinear,":[91],"regularized":[92],"least":[93],"squares":[94],"minimization":[95],"employing":[96],"derivatives.":[101],"functionality":[103],"resulting":[106],"reconstruction":[107],"algorithm":[108],"demonstrated":[110],"numerical":[112],"experiments":[113],"based":[114],"simulated":[116],"data":[117],"in":[118],"two":[119],"spatial":[120],"dimensions.":[121]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
