{"id":"https://openalex.org/W3205306782","doi":"https://doi.org/10.1109/tgrs.2021.3121538","title":"Application of Optimal Control to Inversion of Self-Potential Data: Theory and Synthetic Examples","display_name":"Application of Optimal Control to Inversion of Self-Potential Data: Theory and Synthetic Examples","publication_year":2021,"publication_date":"2021-10-20","ids":{"openalex":"https://openalex.org/W3205306782","doi":"https://doi.org/10.1109/tgrs.2021.3121538","mag":"3205306782"},"language":"en","primary_location":{"id":"doi:10.1109/tgrs.2021.3121538","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2021.3121538","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Geoscience and Remote Sensing","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/A5057064193","display_name":"M. Malovichko","orcid":"https://orcid.org/0000-0002-7618-0998"},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]},{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Mikhail S. Malovichko","raw_affiliation_strings":["Center for Computational and Data-Intensive Science and Engineering (CDISE), Skolkovo Institute of Science and Technology, Moscow, Russia","Moscow Institute of Physics and Technology, Dolgoprudny, Russia"],"affiliations":[{"raw_affiliation_string":"Center for Computational and Data-Intensive Science and Engineering (CDISE), Skolkovo Institute of Science and Technology, Moscow, Russia","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology, Dolgoprudny, Russia","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049622748","display_name":"Andrey Tarasov","orcid":"https://orcid.org/0000-0003-1312-323X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrey V. Tarasov","raw_affiliation_strings":["Institute of Earth Sciences, Saint Petersburg University, Saint Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Earth Sciences, Saint Petersburg University, Saint Petersburg, Russia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021846283","display_name":"Nikolay Yavich","orcid":"https://orcid.org/0000-0002-8913-7710"},"institutions":[{"id":"https://openalex.org/I125989756","display_name":"Skolkovo Institute of Science and Technology","ror":"https://ror.org/03f9nc143","country_code":"RU","type":"education","lineage":["https://openalex.org/I125989756"]},{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Nikolay B. Yavich","raw_affiliation_strings":["Center for Computational and Data-Intensive Science and Engineering (CDISE), Skolkovo Institute of Science and Technology, Moscow, Russia","Moscow Institute of Physics and Technology, Dolgoprudny, Russia"],"affiliations":[{"raw_affiliation_string":"Center for Computational and Data-Intensive Science and Engineering (CDISE), Skolkovo Institute of Science and Technology, Moscow, Russia","institution_ids":["https://openalex.org/I125989756"]},{"raw_affiliation_string":"Moscow Institute of Physics and Technology, Dolgoprudny, Russia","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063235859","display_name":"\u041a. \u0421. \u0422\u0438\u0442\u043e\u0432","orcid":"https://orcid.org/0000-0003-4460-9136"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Konstantin V. Titov","raw_affiliation_strings":["Institute of Earth Sciences, Saint Petersburg University, Saint Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Earth Sciences, Saint Petersburg University, Saint Petersburg, Russia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057064193"],"corresponding_institution_ids":["https://openalex.org/I125989756","https://openalex.org/I153845743"],"apc_list":null,"apc_paid":null,"fwci":0.1824,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.50521056,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"60","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10572","display_name":"Geophysical and Geoelectrical Methods","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10572","display_name":"Geophysical and Geoelectrical Methods","score":1.0,"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"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T12603","display_name":"NMR spectroscopy and applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/inverse-problem","display_name":"Inverse problem","score":0.664590060710907},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5504032373428345},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4977884292602539},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4782756268978119},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.476739764213562},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.46528783440589905},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4544419050216675},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4470210671424866},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.43195831775665283},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42557960748672485},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.4139721989631653},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3068111538887024},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.14529871940612793},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14164742827415466},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14142540097236633}],"concepts":[{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.664590060710907},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5504032373428345},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4977884292602539},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4782756268978119},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.476739764213562},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.46528783440589905},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4544419050216675},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4470210671424866},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.43195831775665283},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42557960748672485},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.4139721989631653},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3068111538887024},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.14529871940612793},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14164742827415466},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14142540097236633},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tgrs.2021.3121538","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tgrs.2021.3121538","pdf_url":null,"source":{"id":"https://openalex.org/S111326731","display_name":"IEEE Transactions on Geoscience and Remote Sensing","issn_l":"0196-2892","issn":["0196-2892","1558-0644"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Geoscience and Remote Sensing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4299832250","display_name":null,"funder_award_id":"21-11-00139","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W624315399","https://openalex.org/W1575701986","https://openalex.org/W1600371943","https://openalex.org/W1994464421","https://openalex.org/W2035858287","https://openalex.org/W2051627858","https://openalex.org/W2051917325","https://openalex.org/W2061404902","https://openalex.org/W2080421693","https://openalex.org/W2089334453","https://openalex.org/W2098791789","https://openalex.org/W2099696716","https://openalex.org/W2101249139","https://openalex.org/W2103734908","https://openalex.org/W2111238034","https://openalex.org/W2122174973","https://openalex.org/W2125916088","https://openalex.org/W2131362196","https://openalex.org/W2144143087","https://openalex.org/W2146765527","https://openalex.org/W2163360863","https://openalex.org/W2164101143","https://openalex.org/W2164289056","https://openalex.org/W2168073864","https://openalex.org/W2272716299","https://openalex.org/W2318919180","https://openalex.org/W2332990274","https://openalex.org/W2397636522","https://openalex.org/W2773149456","https://openalex.org/W2804722640","https://openalex.org/W2981644170","https://openalex.org/W3034825114","https://openalex.org/W3040786754","https://openalex.org/W3083204487","https://openalex.org/W3100426362","https://openalex.org/W3207191354","https://openalex.org/W4230659663","https://openalex.org/W4244360209","https://openalex.org/W4247021439"],"related_works":["https://openalex.org/W1829060647","https://openalex.org/W1965977581","https://openalex.org/W2061980133","https://openalex.org/W2387685679","https://openalex.org/W4298004047","https://openalex.org/W2077506191","https://openalex.org/W3134728064","https://openalex.org/W2050855072","https://openalex.org/W2374214022","https://openalex.org/W2347781941"],"abstract_inverted_index":{"Last":[0],"decades,":[1],"there":[2],"has":[3],"been":[4],"an":[5,75,100,174],"increased":[6],"interest":[7],"in":[8,16,92,124],"the":[9,12,30,36,41,46,54,61,65,70,104,111,151,154,162,195,212],"use":[10],"of":[11,32,153,223,231],"self-potential":[13],"(SP)":[14],"method":[15,122],"hydrogeophysics.":[17],"In":[18,108,146],"response":[19],"to":[20,29,99,110,116,219],"this":[21,147],"strong":[22],"interest,":[23],"we":[24,149],"develop":[25],"a":[26,85,117,125,128,181,201,220],"novel":[27],"approach":[28,50,197],"inversion":[31],"SP":[33,37,208],"data.":[34,235],"Mathematically,":[35],"inverse":[38,71,209,226],"problem":[39,44,72,79,102,155],"is":[40,73,90,171],"source":[42],"identification":[43],"for":[45,206],"Poisson":[47],"equation.":[48],"Our":[49,168,191],"substantially":[51],"differs":[52],"from":[53],"standard":[55,112],"regularization":[56],"approach,":[57,113],"which":[58,114],"explicitly":[59],"includes":[60],"forward-problem":[62],"operator":[63],"into":[64,84],"cost":[66],"functional.":[67],"We":[68,160,178],"formulated":[69],"as":[74,200,229],"optimal":[76],"control":[77],"(OC)":[78],"and":[80,156,165,203,233],"then":[81],"translate":[82],"it":[83],"variational":[86],"system.":[87],"The":[88],"system":[89,126],"approximated":[91],"suitable":[93],"finite-element":[94],"(FE)":[95],"spaces":[96],"giving":[97],"rise":[98],"algebraic":[101],"with":[103,127,184],"saddle":[105],"point":[106],"structure.":[107],"contrast":[109],"leads":[115],"dense":[118],"linear":[119,186,225],"system,":[120],"our":[121],"results":[123,192],"sparse":[129,140],"block":[130],"matrix.":[131],"It":[132],"can":[133,215],"be":[134,217],"efficiently":[135],"solved":[136],"by":[137],"either":[138],"direct":[139],"solvers":[141],"or":[142],"preconditioned":[143],"iterative":[144,163],"solvers.":[145],"article,":[148],"present":[150,180],"formulation":[152],"its":[157],"FE":[158,176],"approximation.":[159],"discuss":[161],"solution":[164],"preconditioning":[166],"strategies.":[167],"software":[169],"implementation":[170],"based":[172],"on":[173,188],"industrial":[175],"package.":[177],"also":[179],"numerical":[182],"experiment":[183],"node-based":[185],"FEs":[187],"tetrahedral":[189],"grids.":[190],"suggest":[193],"that":[194],"proposed":[196],"may":[198],"serve":[199],"rapid":[202],"reliable":[204],"tool":[205],"large-scale":[207],"problems.":[210],"Moreover,":[211],"same":[213],"technique":[214],"easily":[216],"extended":[218],"wide":[221],"range":[222],"geophysical":[224],"problems,":[227],"such":[228],"inversions":[230],"magnetic":[232],"gravity":[234]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
