{"id":"https://openalex.org/W4404469418","doi":"https://doi.org/10.1109/access.2024.3500039","title":"A Novel Hybrid Boundary Element\u2014Physics Informed Neural Network Method for Numerical Solutions in Electromagnetics","display_name":"A Novel Hybrid Boundary Element\u2014Physics Informed Neural Network Method for Numerical Solutions in Electromagnetics","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4404469418","doi":"https://doi.org/10.1109/access.2024.3500039"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3500039","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3500039","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2024.3500039","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049515782","display_name":"Sami Barmada","orcid":"https://orcid.org/0000-0003-1414-1114"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sami Barmada","raw_affiliation_strings":["DESTeC, University of Pisa, Pisa, Italy","DESTeC, Univeristy of Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0003-1414-1114","affiliations":[{"raw_affiliation_string":"DESTeC, University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"DESTeC, Univeristy of Pisa, Italy","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003555110","display_name":"Shayan Dodge","orcid":"https://orcid.org/0000-0002-8323-2290"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Shayan Dodge","raw_affiliation_strings":["DESTeC, University of Pisa, Pisa, Italy","DESTeC, Univeristy of Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-8323-2290","affiliations":[{"raw_affiliation_string":"DESTeC, University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"DESTeC, Univeristy of Pisa, Italy","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032964352","display_name":"Mauro Tucci","orcid":"https://orcid.org/0000-0002-5969-5455"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mauro Tucci","raw_affiliation_strings":["DESTeC, University of Pisa, Pisa, Italy","DESTeC, Univeristy of Pisa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-5969-5455","affiliations":[{"raw_affiliation_string":"DESTeC, University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"DESTeC, Univeristy of Pisa, Italy","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009304199","display_name":"A. Formisano","orcid":"https://orcid.org/0000-0002-7007-5759"},"institutions":[{"id":"https://openalex.org/I197809005","display_name":"University of Campania \"Luigi Vanvitelli\"","ror":"https://ror.org/02kqnpp86","country_code":"IT","type":"education","lineage":["https://openalex.org/I197809005"]},{"id":"https://openalex.org/I4210126337","display_name":"University of Campania \"Luigi Vanvitelli\"","ror":null,"country_code":"IT","type":null,"lineage":["https://openalex.org/I4210126337"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Formisano","raw_affiliation_strings":["Dipartimneto di Ingegneria, Universit&#x00E0; della Campania &#x201C;Luigi Vanvitelli,&#x201D;, Aversa, Italy","Dipartimneto di Ingegneria, Universit&#x00E0; della Campania &#x201C;Luigi Vanvitelli&#x201D;, Aversa (CE), Italy"],"raw_orcid":"https://orcid.org/0000-0002-7007-5759","affiliations":[{"raw_affiliation_string":"Dipartimneto di Ingegneria, Universit&#x00E0; della Campania &#x201C;Luigi Vanvitelli,&#x201D;, Aversa, Italy","institution_ids":["https://openalex.org/I4210126337"]},{"raw_affiliation_string":"Dipartimneto di Ingegneria, Universit&#x00E0; della Campania &#x201C;Luigi Vanvitelli&#x201D;, Aversa (CE), Italy","institution_ids":["https://openalex.org/I197809005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055031451","display_name":"Paolo Di Barba","orcid":"https://orcid.org/0000-0001-5293-1809"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Di Barba","raw_affiliation_strings":["Department of Electrical Computer and Biomedical Engineering, University of Pavia, Pavia, Italy"],"raw_orcid":"https://orcid.org/0000-0001-5293-1809","affiliations":[{"raw_affiliation_string":"Department of Electrical Computer and Biomedical Engineering, University of Pavia, Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008776171","display_name":"Maria Evelina Mognaschi","orcid":"https://orcid.org/0000-0003-3300-0296"},"institutions":[{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Maria Evelina Mognaschi","raw_affiliation_strings":["Department of Electrical Computer and Biomedical Engineering, University of Pavia, Pavia, Italy"],"raw_orcid":"https://orcid.org/0000-0003-3300-0296","affiliations":[{"raw_affiliation_string":"Department of Electrical Computer and Biomedical Engineering, University of Pavia, Pavia, Italy","institution_ids":["https://openalex.org/I25217355"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.4674,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.8944591,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"12","issue":null,"first_page":"171444","last_page":"171457"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13965","display_name":"Laser and Thermal Forming Techniques","score":0.8264999985694885,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T13965","display_name":"Laser and Thermal Forming Techniques","score":0.8264999985694885,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.76419997215271,"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/T12898","display_name":"Induction Heating and Inverter Technology","score":0.7472000122070312,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/electromagnetics","display_name":"Electromagnetics","score":0.7740173935890198},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.7075850963592529},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6441140174865723},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5648196935653687},{"id":"https://openalex.org/keywords/computational-electromagnetics","display_name":"Computational electromagnetics","score":0.4917631447315216},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4721885919570923},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45505908131599426},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.41060417890548706},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.35023409128189087},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3388763964176178},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.24919715523719788},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23670142889022827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20319566130638123},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19130408763885498},{"id":"https://openalex.org/keywords/engineering-physics","display_name":"Engineering physics","score":0.09239408373832703},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08245080709457397}],"concepts":[{"id":"https://openalex.org/C2909720056","wikidata":"https://www.wikidata.org/wiki/Q11406","display_name":"Electromagnetics","level":2,"score":0.7740173935890198},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.7075850963592529},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6441140174865723},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5648196935653687},{"id":"https://openalex.org/C206844423","wikidata":"https://www.wikidata.org/wiki/Q5157313","display_name":"Computational electromagnetics","level":3,"score":0.4917631447315216},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4721885919570923},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45505908131599426},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.41060417890548706},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35023409128189087},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3388763964176178},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.24919715523719788},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23670142889022827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20319566130638123},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19130408763885498},{"id":"https://openalex.org/C61696701","wikidata":"https://www.wikidata.org/wiki/Q770766","display_name":"Engineering physics","level":1,"score":0.09239408373832703},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08245080709457397},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2024.3500039","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3500039","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:arpi.unipi.it:11568/1281599","is_oa":true,"landing_page_url":"https://ieeexplore.ieee.org/document/10755077","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"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:doaj.org/article:e3f50d73d4ae431aad5716a948eefe08","is_oa":true,"landing_page_url":"https://doaj.org/article/e3f50d73d4ae431aad5716a948eefe08","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 12, Pp 171444-171457 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3500039","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3500039","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W2051434435","https://openalex.org/W2490615762","https://openalex.org/W2899283552","https://openalex.org/W2904548419","https://openalex.org/W2992541290","https://openalex.org/W2993158195","https://openalex.org/W3047333663","https://openalex.org/W3128157635","https://openalex.org/W3128338553","https://openalex.org/W3168878243","https://openalex.org/W4205142804","https://openalex.org/W4211222702","https://openalex.org/W4226516218","https://openalex.org/W4285226320","https://openalex.org/W4293198592","https://openalex.org/W4322731021","https://openalex.org/W4385819922","https://openalex.org/W4392857120","https://openalex.org/W4393230990","https://openalex.org/W6631943919","https://openalex.org/W6638908295"],"related_works":["https://openalex.org/W2136883852","https://openalex.org/W1604556474","https://openalex.org/W639500893","https://openalex.org/W1980866748","https://openalex.org/W1596145689","https://openalex.org/W2091509840","https://openalex.org/W4200038534","https://openalex.org/W4213211651","https://openalex.org/W2995254544","https://openalex.org/W2767365411"],"abstract_inverted_index":{"In":[0],"this":[1],"contribution":[2],"the":[3,24,41,59,65,71,75],"authors":[4],"propose":[5],"a":[6],"hybrid":[7],"Boundary":[8],"Element":[9],"Method":[10],"\u2013":[11,17],"Physics":[12],"Informed":[13],"Neural":[14],"Networks":[15],"(BEM":[16],"PINN)":[18],"approach,":[19],"to":[20,51,64,81,88],"be":[21],"used":[22],"for":[23],"resolution":[25],"of":[26,43,74],"partial":[27],"differential":[28,56],"equations":[29],"arising":[30],"when":[31],"formulating":[32],"boundary-value":[33],"problems":[34],"in":[35],"electromagnetism.":[36],"The":[37,77],"approach":[38],"retains":[39],"both":[40],"advantages":[42],"integral":[44],"methods":[45],"(compact":[46],"representation":[47],"and":[48,55,83],"no":[49],"need":[50],"mesh":[52],"large":[53],"domains)":[54],"methods,":[57],"where":[58],"term":[60],"\u201cdifferential\u201d":[61],"refers":[62],"here":[63],"Automatic":[66],"Differentiation":[67],"carried":[68],"out":[69],"during":[70],"training":[72],"phase":[73],"PINN.":[76],"method":[78],"is":[79],"easy":[80],"implement":[82],"adds":[84],"an":[85],"additional":[86],"flexibility":[87],"purely":[89],"PINN":[90],"based":[91],"solution":[92],"methods.":[93]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":5}],"updated_date":"2026-08-12T21:12:35.861297","created_date":"2024-11-18T00:00:00"}
