{"id":"https://openalex.org/W2016884407","doi":"https://doi.org/10.1137/s1064827501394568","title":"Direct Reconstructions of Conductivities from Boundary Measurements","display_name":"Direct Reconstructions of Conductivities from Boundary Measurements","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2016884407","doi":"https://doi.org/10.1137/s1064827501394568","mag":"2016884407"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827501394568","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827501394568","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":["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/A5014028993","display_name":"Jennifer L. Mueller","orcid":"https://orcid.org/0000-0002-2583-5771"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jennifer L. Mueller","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5024895932","display_name":"Samuli Siltanen","orcid":"https://orcid.org/0000-0002-5988-5232"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Samuli Siltanen","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014028993"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.956,"has_fulltext":false,"cited_by_count":113,"citation_normalized_percentile":{"value":0.9521475,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"24","issue":"4","first_page":"1232","last_page":"1266"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9998999834060669,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9995999932289124,"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/T10572","display_name":"Geophysical and Geoelectrical Methods","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7403049468994141},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.7127344608306885},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6797176599502563},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.677038311958313},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5771422982215881},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5499306917190552},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5046156644821167},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4730077087879181},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4432443082332611},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4371180236339569},{"id":"https://openalex.org/keywords/constructive-proof","display_name":"Constructive proof","score":0.4363340139389038},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4216960072517395},{"id":"https://openalex.org/keywords/electrical-impedance-tomography","display_name":"Electrical impedance tomography","score":0.41961079835891724},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4181833267211914},{"id":"https://openalex.org/keywords/conductivity","display_name":"Conductivity","score":0.4162466526031494},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3743117153644562},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.22417449951171875},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20224478840827942},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13656237721443176},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11294054985046387},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08244433999061584},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08069714903831482}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7403049468994141},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.7127344608306885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6797176599502563},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.677038311958313},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5771422982215881},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5499306917190552},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5046156644821167},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4730077087879181},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4432443082332611},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4371180236339569},{"id":"https://openalex.org/C202854965","wikidata":"https://www.wikidata.org/wiki/Q3044470","display_name":"Constructive proof","level":2,"score":0.4363340139389038},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4216960072517395},{"id":"https://openalex.org/C155175808","wikidata":"https://www.wikidata.org/wiki/Q1326472","display_name":"Electrical impedance tomography","level":3,"score":0.41961079835891724},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4181833267211914},{"id":"https://openalex.org/C131540310","wikidata":"https://www.wikidata.org/wiki/Q907564","display_name":"Conductivity","level":2,"score":0.4162466526031494},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3743117153644562},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.22417449951171875},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20224478840827942},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13656237721443176},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11294054985046387},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08244433999061584},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08069714903831482},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827501394568","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827501394568","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":69,"referenced_works":["https://openalex.org/W13927686","https://openalex.org/W28543772","https://openalex.org/W373739789","https://openalex.org/W1488906715","https://openalex.org/W1528693942","https://openalex.org/W1539677273","https://openalex.org/W1963570087","https://openalex.org/W1964940941","https://openalex.org/W1973202856","https://openalex.org/W1976135899","https://openalex.org/W1976602763","https://openalex.org/W1978722207","https://openalex.org/W1979027120","https://openalex.org/W1981649542","https://openalex.org/W1981696101","https://openalex.org/W1981700179","https://openalex.org/W1986312002","https://openalex.org/W1989073492","https://openalex.org/W2004105293","https://openalex.org/W2005681075","https://openalex.org/W2010069926","https://openalex.org/W2016190564","https://openalex.org/W2018207223","https://openalex.org/W2021662804","https://openalex.org/W2021847672","https://openalex.org/W2023135440","https://openalex.org/W2023599039","https://openalex.org/W2023638857","https://openalex.org/W2027447854","https://openalex.org/W2028875676","https://openalex.org/W2036858444","https://openalex.org/W2042242446","https://openalex.org/W2045998234","https://openalex.org/W2049176462","https://openalex.org/W2049443572","https://openalex.org/W2051238496","https://openalex.org/W2053405325","https://openalex.org/W2053461334","https://openalex.org/W2054431537","https://openalex.org/W2055385954","https://openalex.org/W2055545390","https://openalex.org/W2055635525","https://openalex.org/W2058356772","https://openalex.org/W2059195581","https://openalex.org/W2061800010","https://openalex.org/W2062546791","https://openalex.org/W2065585720","https://openalex.org/W2077204104","https://openalex.org/W2080054233","https://openalex.org/W2081687897","https://openalex.org/W2083598195","https://openalex.org/W2083822644","https://openalex.org/W2084269492","https://openalex.org/W2085494029","https://openalex.org/W2088193537","https://openalex.org/W2103398302","https://openalex.org/W2112890043","https://openalex.org/W2114673273","https://openalex.org/W2116818806","https://openalex.org/W2120062331","https://openalex.org/W2153597451","https://openalex.org/W2163840973","https://openalex.org/W2169573886","https://openalex.org/W2170164530","https://openalex.org/W2278331350","https://openalex.org/W2314485382","https://openalex.org/W2468887638","https://openalex.org/W2504664480","https://openalex.org/W4229581918"],"related_works":["https://openalex.org/W2765233679","https://openalex.org/W2136479075","https://openalex.org/W2098962200","https://openalex.org/W2725829804","https://openalex.org/W2120850092","https://openalex.org/W2181417489","https://openalex.org/W1982339974","https://openalex.org/W1968797734","https://openalex.org/W629372277","https://openalex.org/W1797839364"],"abstract_inverted_index":{"The":[0,73],"problem":[1,38,69],"of":[2,23,43],"reconstructing":[3],"an":[4],"unknown":[5],"electric":[6],"conductivity":[7,37],"from":[8],"boundary":[9],"measurements":[10],"has":[11],"applications":[12],"in":[13],"medical":[14],"imaging,":[15],"geophysics,":[16],"and":[17,51,99,103],"nondestructive":[18],"testing.":[19],"A.":[20],"Nachman":[21],"[Ann.":[22],"Math.":[24],"(2),":[25],"143":[26],"(1996),":[27],"pp.":[28,57],"71--96.]":[29],"proved":[30],"global":[31],"uniqueness":[32],"for":[33],"the":[34,67,85],"two-dimensional":[35],"inverse":[36],"using":[39],"a":[40,60,91],"constructive":[41],"method":[42,64,74,86],"proof.":[44],"Based":[45],"on":[46,101],"this":[47,83],"proof,":[48],"Siltanen,":[49],"Mueller,":[50],"Isaacson":[52],"[Inverse":[53],"Problems,":[54],"16":[55],"(2000),":[56],"681--699]":[58],"presented":[59],"new":[61,92],"numerical":[62,105],"reconstruction":[63],"that":[65],"solves":[66],"nonlinear":[68],"directly":[70],"without":[71],"iteration.":[72],"was":[75],"verified":[76],"with":[77],"nonnoisy":[78],"rotationally":[79],"symmetric":[80,102],"examples.":[81],"In":[82],"paper":[84],"is":[87,96],"extended":[88],"by":[89],"introducing":[90],"regularization":[93],"scheme,":[94],"which":[95],"analyzed":[97],"theoretically":[98],"tested":[100],"nonsymmetric":[104],"examples":[106],"containing":[107],"computer":[108],"simulated":[109],"noise.":[110]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":9}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}