{"id":"https://openalex.org/W4393989830","doi":"https://doi.org/10.1137/23m1577390","title":"A Direct Probing Method of an Inverse Problem for the Eikonal Equation","display_name":"A Direct Probing Method of an Inverse Problem for the Eikonal Equation","publication_year":2024,"publication_date":"2024-04-05","ids":{"openalex":"https://openalex.org/W4393989830","doi":"https://doi.org/10.1137/23m1577390"},"language":"en","primary_location":{"id":"doi:10.1137/23m1577390","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1577390","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/A5004826461","display_name":"Kazufumi Ito","orcid":"https://orcid.org/0000-0003-2417-2600"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kazufumi Ito","raw_affiliation_strings":["Department of Mathematics and Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8205 USA"],"raw_orcid":"https://orcid.org/0000-0003-2417-2600","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8205 USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100414176","display_name":"Ying Liang","orcid":"https://orcid.org/0000-0002-2594-3318"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ying Liang","raw_affiliation_strings":["Department of Mathematics, Purdue University, West Lafayette, IN 47907 USA"],"raw_orcid":"https://orcid.org/0000-0002-2594-3318","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Purdue University, West Lafayette, IN 47907 USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5021,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76189146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"46","issue":"2","first_page":"A1235","last_page":"A1251"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9998999834060669,"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":0.9998999834060669,"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/T10514","display_name":"Numerical methods in engineering","score":0.9937000274658203,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eikonal-equation","display_name":"Eikonal equation","score":0.7951611280441284},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7473663091659546},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5377604365348816},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5061139464378357},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.47559818625450134},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44029486179351807},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15829133987426758}],"concepts":[{"id":"https://openalex.org/C40375134","wikidata":"https://www.wikidata.org/wiki/Q1303846","display_name":"Eikonal equation","level":2,"score":0.7951611280441284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7473663091659546},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5377604365348816},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5061139464378357},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.47559818625450134},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44029486179351807},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15829133987426758}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1577390","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1577390","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1435863446","https://openalex.org/W1487586009","https://openalex.org/W1975420145","https://openalex.org/W2009933329","https://openalex.org/W2067203482","https://openalex.org/W2073431019","https://openalex.org/W2081759007","https://openalex.org/W2088676668","https://openalex.org/W2095665871","https://openalex.org/W2123297057","https://openalex.org/W2140171869","https://openalex.org/W2165033235","https://openalex.org/W2169501376","https://openalex.org/W2749408143","https://openalex.org/W3099709074","https://openalex.org/W3169435859","https://openalex.org/W3185852165","https://openalex.org/W4234325207","https://openalex.org/W4249286716","https://openalex.org/W4298264214"],"related_works":["https://openalex.org/W4391016819","https://openalex.org/W2608807293","https://openalex.org/W2911626006","https://openalex.org/W2551432773","https://openalex.org/W2188468195","https://openalex.org/W2626226742","https://openalex.org/W4321472356","https://openalex.org/W2474675250","https://openalex.org/W2331917905","https://openalex.org/W3155039083"],"abstract_inverted_index":{".In":[0],"this":[1,68,76],"paper,":[2],"we":[3,78,100,128],"propose":[4],"a":[5,80,115,130],"direct":[6,81],"probing":[7,82,152],"method":[8,83,105,138],"to":[9,36,58,106,139],"solve":[10],"the":[11,15,21,24,44,49,56,59,62,89,96,102,108,119,123,141,144,147],"inverse":[12,69],"problem":[13,19,70],"of":[14,23,43,52,88,95,143],"Eikonal":[16,46,90],"equation.":[17],"This":[18],"involves":[20],"determination":[22],"inhomogeneous":[25,109],"wave-speed":[26,110],"distribution":[27,111],"from":[28,55,118,146],"first-arrival":[29],"time":[30],"data":[31],"at":[32,61],"measurement":[33],"surfaces":[34],"corresponding":[35],"distributed":[37],"point":[38,60],"sources.":[39],"The":[40],"viscosity":[41],"solution":[42,86],"point-source":[45],"equation":[47,91],"represents":[48],"least":[50],"traveltime":[51],"wave":[53],"fields":[54],"source":[57],"high-frequency":[63],"limit.":[64],"We":[65],"show":[66],"that":[67,84],"is":[71],"highly":[72],"ill-posed.":[73],"To":[74],"address":[75],"issue,":[77],"develop":[79,134],"incorporates":[85],"analysis":[87],"and":[92,133],"several":[93],"aspects":[94],"velocity":[97],"models.":[98],"Specifically,":[99],"use":[101],"filtered":[103],"back-projection":[104,137],"reconstruct":[107],"when":[112],"it":[113],"has":[114],"small":[116],"variation":[117],"homogeneous":[120],"medium.":[121],"For":[122],"scenarios":[124],"involving":[125],"high-contrast":[126],"media,":[127],"assume":[129],"background":[131],"medium":[132,145],"an":[135],"adjoint-based":[136],"identify":[140],"variations":[142],"assumed":[148],"background.KeywordsEikonal":[149],"equationstraveltime":[150],"tomographydirect":[151],"methodMSC":[153],"codes65K1086A2294A08":[154]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
