{"id":"https://openalex.org/W4401844793","doi":"https://doi.org/10.1007/s10915-024-02652-9","title":"An Alternating Direction Multiplier Method for the Inversion of FDEM Data","display_name":"An Alternating Direction Multiplier Method for the Inversion of FDEM Data","publication_year":2024,"publication_date":"2024-08-24","ids":{"openalex":"https://openalex.org/W4401844793","doi":"https://doi.org/10.1007/s10915-024-02652-9"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-024-02652-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-024-02652-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-024-02652-9.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10915-024-02652-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074424812","display_name":"Alessandro Buccini","orcid":"https://orcid.org/0000-0002-6456-4150"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alessandro Buccini","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Cagliari, 09124, Cagliari, Italy"],"raw_orcid":"https://orcid.org/0000-0002-6456-4150","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Cagliari, 09124, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072207009","display_name":"Patricia D\u00edaz de Alba","orcid":"https://orcid.org/0000-0002-6208-2318"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Patricia D\u00edaz de Alba","raw_affiliation_strings":["Department of Mathematics, University of Salerno, 84084, Fisciano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Salerno, 84084, Fisciano, Italy","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082436423","display_name":"Federica Pes","orcid":"https://orcid.org/0000-0001-9064-7876"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Federica Pes","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Cagliari, 09124, Cagliari, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Cagliari, 09124, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074424812"],"corresponding_institution_ids":["https://openalex.org/I172446870"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":{"value":3290,"currency":"USD","value_usd":3290},"fwci":0.6528,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62307352,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"101","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10572","display_name":"Geophysical and Geoelectrical Methods","score":0.9998000264167786,"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":0.9998000264167786,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9979000091552734,"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/T12603","display_name":"NMR spectroscopy and applications","score":0.9973000288009644,"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/nonlinear-system","display_name":"Nonlinear system","score":0.6765389442443848},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5425617694854736},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.5356051325798035},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5261787176132202},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5036539435386658},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5033339858055115},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.4622909724712372},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4600929617881775},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45538994669914246},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.4518555700778961},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4129934012889862},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37157678604125977},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23634269833564758},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.19383016228675842},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10006654262542725}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6765389442443848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5425617694854736},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.5356051325798035},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5261787176132202},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5036539435386658},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5033339858055115},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.4622909724712372},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4600929617881775},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45538994669914246},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.4518555700778961},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4129934012889862},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37157678604125977},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23634269833564758},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.19383016228675842},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10006654262542725},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10915-024-02652-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-024-02652-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-024-02652-9.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:irinsubria.uninsubria.it:11383/2211793","is_oa":true,"landing_page_url":"https://hdl.handle.net/11383/2211793","pdf_url":"https://irinsubria.uninsubria.it/bitstream/11383/2211793/1/s10915-024-02652-9-1.pdf","source":{"id":"https://openalex.org/S4377196351","display_name":"IrInSubria (University of Insubria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I115752224","host_organization_name":"University of Insubria","host_organization_lineage":["https://openalex.org/I115752224"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unica.it:11584/411103","is_oa":true,"landing_page_url":"https://hdl.handle.net/11584/411103","pdf_url":"https://iris.unica.it/bitstream/11584/411103/1/s10915-024-02652-9-1.pdf","source":{"id":"https://openalex.org/S4377196293","display_name":"UNICA IRIS Institutional Research Information System (University of Cagliari)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172446870","host_organization_name":"University of Cagliari","host_organization_lineage":["https://openalex.org/I172446870"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10915-024-02652-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10915-024-02652-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10915-024-02652-9.pdf","source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.5600000023841858,"display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G345516636","display_name":null,"funder_award_id":"2022ANC8HL","funder_id":"https://openalex.org/F4320331528","funder_display_name":"Ministero dell'Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G835664051","display_name":null,"funder_award_id":"PRIN 2022 PNRR P2022PMEN2","funder_id":"https://openalex.org/F4320331528","funder_display_name":"Ministero dell'Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320315324","display_name":"Fondazione di Sardegna","ror":"https://ror.org/02sryfh37"},{"id":"https://openalex.org/F4320331528","display_name":"Ministero dell'Universit\u00e0 e della Ricerca","ror":null},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401844793.pdf","grobid_xml":"https://content.openalex.org/works/W4401844793.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W32142590","https://openalex.org/W1570089119","https://openalex.org/W1859434065","https://openalex.org/W1978913766","https://openalex.org/W2002916884","https://openalex.org/W2022824911","https://openalex.org/W2027361795","https://openalex.org/W2042535616","https://openalex.org/W2072409906","https://openalex.org/W2074699226","https://openalex.org/W2086600055","https://openalex.org/W2087670913","https://openalex.org/W2131241095","https://openalex.org/W2154593882","https://openalex.org/W2162187345","https://openalex.org/W2170644900","https://openalex.org/W2295652899","https://openalex.org/W2490870041","https://openalex.org/W2505368019","https://openalex.org/W2565596916","https://openalex.org/W2573734040","https://openalex.org/W2781682587","https://openalex.org/W2785798944","https://openalex.org/W2787933410","https://openalex.org/W2889292721","https://openalex.org/W2891127710","https://openalex.org/W2902079613","https://openalex.org/W2903491982","https://openalex.org/W2945495670","https://openalex.org/W2997423238","https://openalex.org/W3020692621","https://openalex.org/W3099241826","https://openalex.org/W3100599254","https://openalex.org/W3215311635","https://openalex.org/W4221160450","https://openalex.org/W4226495078","https://openalex.org/W4246327874","https://openalex.org/W4247187432","https://openalex.org/W4283807476","https://openalex.org/W4291144907","https://openalex.org/W4361009490","https://openalex.org/W4363677294","https://openalex.org/W4382366708","https://openalex.org/W4387309699","https://openalex.org/W4392451160","https://openalex.org/W4400281096"],"related_works":["https://openalex.org/W1980470275","https://openalex.org/W2086322839","https://openalex.org/W2344971351","https://openalex.org/W2363509351","https://openalex.org/W2377084220","https://openalex.org/W1990581988","https://openalex.org/W2384206310","https://openalex.org/W2354391290","https://openalex.org/W2331917905","https://openalex.org/W3155039083"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4,63,71,86],"focus":[5],"on":[6],"the":[7,22,25,33,50,59,82,92,97,100,105,111],"numerical":[8,119],"solution":[9],"of":[10,24,91,99,110],"nonlinear":[11,53,60],"inverse":[12,61],"problems":[13],"in":[14],"applied":[15],"geophysics.":[16],"Our":[17],"aim":[18],"is":[19,44,52,115],"to":[20,80],"reconstruct":[21],"structure":[23],"soil,":[26],"i.e.,":[27],"either":[28,95],"its":[29,73],"electrical":[30],"conductivity":[31],"or":[32,103],"magnetic":[34],"permeability":[35],"distribution,":[36],"by":[37],"inverting":[38],"frequency":[39],"domain":[40],"electromagnetic":[41],"data.":[42],"This":[43],"a":[45],"very":[46],"challenging":[47],"task":[48],"since":[49],"problem":[51],"and":[54,75],"severely":[55],"ill-conditioned.":[56],"To":[57],"solve":[58],"problem,":[62],"propose":[64,76],"an":[65,77],"alternating":[66],"direction":[67],"multiplier":[68],"method":[69],"(ADMM),":[70],"prove":[72],"convergence,":[74],"automated":[78],"strategy":[79],"determine":[81],"parameters":[83],"involved.":[84],"Moreover,":[85],"present":[87],"two":[88],"heuristic":[89],"variations":[90],"ADMM":[93],"that":[94],"improve":[96],"accuracy":[98],"computed":[101],"solutions":[102],"lower":[104],"computational":[106],"cost.":[107],"The":[108],"effectiveness":[109],"different":[112],"proposed":[113],"methods":[114],"illustrated":[116],"through":[117],"few":[118],"examples.":[120]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-08-23T07:36:19.812096","created_date":"2025-10-10T00:00:00"}