{"id":"https://openalex.org/W3003710149","doi":"https://doi.org/10.3390/sym12020218","title":"Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric Objects","display_name":"Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric Objects","publication_year":2020,"publication_date":"2020-02-02","ids":{"openalex":"https://openalex.org/W3003710149","doi":"https://doi.org/10.3390/sym12020218","mag":"3003710149"},"language":"en","primary_location":{"id":"doi:10.3390/sym12020218","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12020218","pdf_url":"https://www.mdpi.com/2073-8994/12/2/218/pdf","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/12/2/218/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062036386","display_name":"Praveen Kalarickel Ramakrishnan","orcid":"https://orcid.org/0000-0002-6853-7627"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Praveen Kalarickel Ramakrishnan","raw_affiliation_strings":["Department of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genoa, Via Opera Pia 11a, I\u201316145 Genoa, Italy"],"raw_orcid":"https://orcid.org/0000-0002-6853-7627","affiliations":[{"raw_affiliation_string":"Department of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genoa, Via Opera Pia 11a, I\u201316145 Genoa, Italy","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014806364","display_name":"Mirco Raffetto","orcid":"https://orcid.org/0000-0001-6541-3453"},"institutions":[{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Mirco Raffetto","raw_affiliation_strings":["Department of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genoa, Via Opera Pia 11a, I\u201316145 Genoa, Italy"],"raw_orcid":"https://orcid.org/0000-0001-6541-3453","affiliations":[{"raw_affiliation_string":"Department of Electrical, Electronic, Telecommunications Engineering and Naval Architecture, University of Genoa, Via Opera Pia 11a, I\u201316145 Genoa, Italy","institution_ids":["https://openalex.org/I83816512"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014806364"],"corresponding_institution_ids":["https://openalex.org/I83816512"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.6242,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.66877373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"12","issue":"2","first_page":"218","last_page":"218"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9995999932289124,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6571981906890869},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.6338348388671875},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.6334689259529114},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.5635342001914978},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5449361801147461},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.536180317401886},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5222854614257812},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41449353098869324},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.33418020606040955},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23592761158943176},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22390973567962646},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.12782716751098633}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6571981906890869},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.6338348388671875},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.6334689259529114},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.5635342001914978},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5449361801147461},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.536180317401886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5222854614257812},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41449353098869324},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33418020606040955},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23592761158943176},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22390973567962646},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.12782716751098633},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym12020218","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12020218","pdf_url":"https://www.mdpi.com/2073-8994/12/2/218/pdf","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0c57b54dbb7d4b59833643137a765420","is_oa":true,"landing_page_url":"https://doaj.org/article/0c57b54dbb7d4b59833643137a765420","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":"Symmetry, Vol 12, Iss 2, p 218 (2020)","raw_type":"article"},{"id":"pmh:oai:iris.unige.it:11567/1019272","is_oa":true,"landing_page_url":"http://hdl.handle.net/11567/1019272","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"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:10.3390/sym12020218","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12020218","pdf_url":"https://www.mdpi.com/2073-8994/12/2/218/pdf","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3003710149.pdf","grobid_xml":"https://content.openalex.org/works/W3003710149.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1014305279","https://openalex.org/W1575701986","https://openalex.org/W1582734821","https://openalex.org/W1605773447","https://openalex.org/W1667661882","https://openalex.org/W1965201444","https://openalex.org/W1965605543","https://openalex.org/W1983002506","https://openalex.org/W1985606844","https://openalex.org/W1985746901","https://openalex.org/W1986891339","https://openalex.org/W2006742571","https://openalex.org/W2010852603","https://openalex.org/W2011347541","https://openalex.org/W2016860432","https://openalex.org/W2028434980","https://openalex.org/W2029910675","https://openalex.org/W2032861904","https://openalex.org/W2038919376","https://openalex.org/W2044684310","https://openalex.org/W2058586798","https://openalex.org/W2068819672","https://openalex.org/W2091635642","https://openalex.org/W2107431181","https://openalex.org/W2122699854","https://openalex.org/W2160783151","https://openalex.org/W2165155416","https://openalex.org/W2168233173","https://openalex.org/W2338423844","https://openalex.org/W2483264321","https://openalex.org/W2525484777","https://openalex.org/W3046457476","https://openalex.org/W3098922976","https://openalex.org/W3200161464","https://openalex.org/W4210300254","https://openalex.org/W4252104256","https://openalex.org/W4300202567"],"related_works":["https://openalex.org/W3143842500","https://openalex.org/W2034854043","https://openalex.org/W2066838737","https://openalex.org/W2148444155","https://openalex.org/W3145198003","https://openalex.org/W2027151972","https://openalex.org/W2020494338","https://openalex.org/W3002806525","https://openalex.org/W2055836843","https://openalex.org/W2241523782"],"abstract_inverted_index":{"A":[0],"set":[1],"of":[2,12,17,43,58,69,81,84],"sufficient":[3],"conditions":[4,60],"for":[5,36,66,89],"the":[6,10,13,37,41,56,82,85],"well":[7],"posedness":[8],"and":[9,61],"convergence":[11],"finite":[14],"element":[15],"approximation":[16],"three-dimensional":[18],"time-harmonic":[19],"electromagnetic":[20,90],"boundary":[21],"value":[22],"problems":[23,72,91],"involving":[24,92],"non-conducting":[25],"rotating":[26,75,93],"objects":[27],"with":[28],"stationary":[29],"boundaries":[30],"or":[31,76],"bianisotropic":[32,77],"media":[33],"is":[34,47,51],"provided":[35,88],"first":[38],"time":[39],"to":[40,54],"best":[42],"authors\u2019":[44],"knowledge.":[45],"It":[46],"shown":[48],"that":[49,62],"it":[50],"not":[52],"difficult":[53],"check":[55],"validity":[57],"these":[59],"they":[63],"hold":[64],"true":[65],"broad":[67],"classes":[68],"practically":[70],"important":[71],"which":[73],"involve":[74],"materials.":[78],"All":[79],"details":[80],"applications":[83],"theory":[86],"are":[87],"axisymmetric":[94],"objects.":[95]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}