{"id":"https://openalex.org/W4407176159","doi":"https://doi.org/10.3390/computation13020037","title":"Reconstructing the Magnetic Field in an Arbitrary Domain via Data-Driven Bayesian Methods and Numerical Simulations","display_name":"Reconstructing the Magnetic Field in an Arbitrary Domain via Data-Driven Bayesian Methods and Numerical Simulations","publication_year":2025,"publication_date":"2025-02-05","ids":{"openalex":"https://openalex.org/W4407176159","doi":"https://doi.org/10.3390/computation13020037"},"language":"en","primary_location":{"id":"doi:10.3390/computation13020037","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13020037","pdf_url":null,"source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/computation13020037","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070612952","display_name":"Georgios E. Pavlou","orcid":"https://orcid.org/0000-0003-4478-935X"},"institutions":[{"id":"https://openalex.org/I8901234","display_name":"Foundation for Research and Technology Hellas","ror":"https://ror.org/052rphn09","country_code":"GR","type":"facility","lineage":["https://openalex.org/I8901234"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Georgios E. Pavlou","raw_affiliation_strings":["Institute of Applied and Computational Mathematics, Foundation for Research and Technology-Hellas, GR-71110 Heraklion, Greece"],"raw_orcid":"https://orcid.org/0000-0003-4478-935X","affiliations":[{"raw_affiliation_string":"Institute of Applied and Computational Mathematics, Foundation for Research and Technology-Hellas, GR-71110 Heraklion, Greece","institution_ids":["https://openalex.org/I8901234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059723434","display_name":"V. Pavlidou","orcid":"https://orcid.org/0000-0002-0870-1368"},"institutions":[{"id":"https://openalex.org/I142617266","display_name":"University of Crete","ror":"https://ror.org/00dr28g20","country_code":"GR","type":"education","lineage":["https://openalex.org/I142617266"]},{"id":"https://openalex.org/I8901234","display_name":"Foundation for Research and Technology Hellas","ror":"https://ror.org/052rphn09","country_code":"GR","type":"facility","lineage":["https://openalex.org/I8901234"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Vasiliki Pavlidou","raw_affiliation_strings":["Department of Physics, University of Crete, GR-70013 Heraklion, Greece","Institute of Astrophysics, Foundation for Research and Technology-Hellas, Vasilika Vouton, GR-71110 Heraklion, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Crete, GR-70013 Heraklion, Greece","institution_ids":["https://openalex.org/I142617266"]},{"raw_affiliation_string":"Institute of Astrophysics, Foundation for Research and Technology-Hellas, Vasilika Vouton, GR-71110 Heraklion, Greece","institution_ids":["https://openalex.org/I8901234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028456729","display_name":"Vagelis Harmandaris","orcid":"https://orcid.org/0000-0002-9613-7639"},"institutions":[{"id":"https://openalex.org/I142617266","display_name":"University of Crete","ror":"https://ror.org/00dr28g20","country_code":"GR","type":"education","lineage":["https://openalex.org/I142617266"]},{"id":"https://openalex.org/I148518341","display_name":"Cyprus Institute","ror":"https://ror.org/01q8k8p90","country_code":"CY","type":"other","lineage":["https://openalex.org/I148518341"]},{"id":"https://openalex.org/I8901234","display_name":"Foundation for Research and Technology Hellas","ror":"https://ror.org/052rphn09","country_code":"GR","type":"facility","lineage":["https://openalex.org/I8901234"]}],"countries":["CY","GR"],"is_corresponding":true,"raw_author_name":"Vagelis Harmandaris","raw_affiliation_strings":["Computation-Based Science and Technology Research Center, The Cyprus Institute, Nicosia 2121, Cyprus","Department of Mathematics and Applied Mathematics, University of Crete, GR-71409 Heraklion, Greece","Institute of Applied and Computational Mathematics, Foundation for Research and Technology-Hellas, GR-71110 Heraklion, Greece"],"raw_orcid":"https://orcid.org/0000-0002-9613-7639","affiliations":[{"raw_affiliation_string":"Computation-Based Science and Technology Research Center, The Cyprus Institute, Nicosia 2121, Cyprus","institution_ids":["https://openalex.org/I148518341"]},{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of Crete, GR-71409 Heraklion, Greece","institution_ids":["https://openalex.org/I142617266"]},{"raw_affiliation_string":"Institute of Applied and Computational Mathematics, Foundation for Research and Technology-Hellas, GR-71110 Heraklion, Greece","institution_ids":["https://openalex.org/I8901234"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028456729"],"corresponding_institution_ids":["https://openalex.org/I142617266","https://openalex.org/I148518341","https://openalex.org/I8901234"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.1805,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.75862069,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"13","issue":"2","first_page":"37","last_page":"37"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10572","display_name":"Geophysical and Geoelectrical Methods","score":0.9962999820709229,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.6187189817428589},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5381918549537659},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.46500787138938904},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.4548150300979614},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.45445680618286133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44533824920654297},{"id":"https://openalex.org/keywords/computational-physics","display_name":"Computational physics","score":0.38581523299217224},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3478466272354126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26929670572280884},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.170352965593338},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15932980179786682},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07229113578796387}],"concepts":[{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6187189817428589},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5381918549537659},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.46500787138938904},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.4548150300979614},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.45445680618286133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44533824920654297},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.38581523299217224},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3478466272354126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26929670572280884},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.170352965593338},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15932980179786682},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07229113578796387},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/computation13020037","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13020037","pdf_url":null,"source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:428c08a2f45049ae8af5690e835fb094","is_oa":true,"landing_page_url":"https://doaj.org/article/428c08a2f45049ae8af5690e835fb094","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 13, Iss 2, p 37 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation13020037","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13020037","pdf_url":null,"source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W213523138","https://openalex.org/W278817411","https://openalex.org/W621546036","https://openalex.org/W1493454437","https://openalex.org/W1531455566","https://openalex.org/W1540100713","https://openalex.org/W1907005258","https://openalex.org/W1963643305","https://openalex.org/W1973333099","https://openalex.org/W1987971958","https://openalex.org/W1998871699","https://openalex.org/W2018850201","https://openalex.org/W2028210574","https://openalex.org/W2029725418","https://openalex.org/W2032051235","https://openalex.org/W2032937327","https://openalex.org/W2037465995","https://openalex.org/W2098340246","https://openalex.org/W2107979247","https://openalex.org/W2141870784","https://openalex.org/W2146502168","https://openalex.org/W2149498546","https://openalex.org/W2232528752","https://openalex.org/W2744050773","https://openalex.org/W2787698532","https://openalex.org/W2787894218","https://openalex.org/W2810524380","https://openalex.org/W2883305343","https://openalex.org/W2894501208","https://openalex.org/W2899283552","https://openalex.org/W2952020389","https://openalex.org/W2963479940","https://openalex.org/W2995192479","https://openalex.org/W3001319253","https://openalex.org/W3046462119","https://openalex.org/W3046746507","https://openalex.org/W3047971311","https://openalex.org/W3099044649","https://openalex.org/W3100823222","https://openalex.org/W3122122736","https://openalex.org/W3130373099","https://openalex.org/W3163993681","https://openalex.org/W3200149462","https://openalex.org/W3208048323","https://openalex.org/W4212912097","https://openalex.org/W4225401869","https://openalex.org/W4245654886","https://openalex.org/W4281481500","https://openalex.org/W4298146522","https://openalex.org/W4311477640","https://openalex.org/W4315631690","https://openalex.org/W4320800818","https://openalex.org/W4383226389","https://openalex.org/W4388691782","https://openalex.org/W4392364170","https://openalex.org/W4401989564","https://openalex.org/W6610166037","https://openalex.org/W6681691480","https://openalex.org/W6852296826"],"related_works":["https://openalex.org/W325681004","https://openalex.org/W2162041136","https://openalex.org/W2344190797","https://openalex.org/W4300523141","https://openalex.org/W2379456271","https://openalex.org/W2952214616","https://openalex.org/W1976268846","https://openalex.org/W2393302202","https://openalex.org/W2320117397","https://openalex.org/W2040944759"],"abstract_inverted_index":{"Inverse":[0],"problems":[1],"are":[2],"prevalent":[3],"in":[4,31],"numerous":[5],"scientific":[6],"and":[7,83,86],"engineering":[8],"disciplines,":[9],"where":[10],"the":[11,33,41,78,87,91,106,120],"objective":[12],"is":[13,103],"to":[14,105],"determine":[15],"unknown":[16],"parameters":[17,51],"within":[18,112],"a":[19,71,93,113],"physical":[20],"system":[21],"using":[22],"indirect":[23],"measurements":[24],"or":[25,66],"observations.":[26],"The":[27,100],"inherent":[28],"challenge":[29],"lies":[30],"deducing":[32],"most":[34],"probable":[35],"parameter":[36,75,122],"values":[37],"that":[38],"align":[39],"with":[40],"collected":[42],"data.":[43],"This":[44],"study":[45],"introduces":[46],"an":[47,54],"algorithm":[48,102],"for":[49,74],"reconstructing":[50],"by":[52,62],"addressing":[53],"inverse":[55],"problem":[56,95],"formulated":[57],"through":[58],"differential":[59],"equations":[60],"underpinned":[61],"uncertain":[63],"boundary":[64],"conditions":[65],"variant":[67],"parameters.":[68],"We":[69],"adopt":[70],"Bayesian":[72],"approach":[73],"inference,":[76],"delineating":[77],"establishment":[79],"of":[80,90,108,119],"prior,":[81],"likelihood,":[82],"posterior":[84],"distributions,":[85],"subsequent":[88],"resolution":[89],"maximum":[92],"posteriori":[94],"via":[96],"numerical":[97],"optimization":[98],"techniques.":[99],"proposed":[101],"applied":[104],"task":[107],"magnetic":[109],"field":[110],"reconstruction":[111],"conical":[114],"domain,":[115],"demonstrating":[116],"precise":[117],"recovery":[118],"true":[121],"values.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
