{"id":"https://openalex.org/W7133318427","doi":"https://doi.org/10.48550/arxiv.2603.00366","title":"Integral equations for flexural scattering problems with periodic boundaries","display_name":"Integral equations for flexural scattering problems with periodic boundaries","publication_year":2026,"publication_date":"2026-02-27","ids":{"openalex":"https://openalex.org/W7133318427","doi":"https://doi.org/10.48550/arxiv.2603.00366"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2603.00366","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.00366","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2603.00366","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5127941392","display_name":"Fruzsina Agocs","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Agocs, Fruzsina","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5127897701","display_name":"Tristan Goodwill","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Goodwill, Tristan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5127897007","display_name":"Jeremy G. Hoskins","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hoskins, Jeremy G.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5090273940","display_name":"Peter Nekrasov","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nekrasov, Peter","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5127941392"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.18369999527931213,"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"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.18369999527931213,"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/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.16459999978542328,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11205","display_name":"Numerical methods in inverse problems","score":0.1152999997138977,"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/scattering","display_name":"Scattering","score":0.6588000059127808},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.604200005531311},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5156000256538391},{"id":"https://openalex.org/keywords/flexural-strength","display_name":"Flexural strength","score":0.4555000066757202},{"id":"https://openalex.org/keywords/scattering-theory","display_name":"Scattering theory","score":0.36160001158714294},{"id":"https://openalex.org/keywords/line-integral","display_name":"Line integral","score":0.35409998893737793}],"concepts":[{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6722000241279602},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.6588000059127808},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.604200005531311},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5156000256538391},{"id":"https://openalex.org/C178405089","wikidata":"https://www.wikidata.org/wiki/Q857201","display_name":"Flexural strength","level":2,"score":0.4555000066757202},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4341000020503998},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39169999957084656},{"id":"https://openalex.org/C67105901","wikidata":"https://www.wikidata.org/wiki/Q903737","display_name":"Scattering theory","level":3,"score":0.36160001158714294},{"id":"https://openalex.org/C75023562","wikidata":"https://www.wikidata.org/wiki/Q467699","display_name":"Line integral","level":3,"score":0.35409998893737793},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.31529998779296875},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.301800012588501},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2935999929904938},{"id":"https://openalex.org/C98644592","wikidata":"https://www.wikidata.org/wiki/Q184743","display_name":"Periodic function","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.27959999442100525},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2669000029563904},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.2549999952316284},{"id":"https://openalex.org/C44886760","wikidata":"https://www.wikidata.org/wiki/Q1758425","display_name":"Wave propagation","level":2,"score":0.25189998745918274},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2603.00366","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.00366","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2603.00366","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.00366","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,37,53],"develop":[1],"a":[2,13,17,47,63],"method":[3,80],"for":[4],"computing":[5],"the":[6,25,39,44,69,78],"scattering":[7,86],"of":[8,12,20,27,49,89,92],"flexural":[9,71],"waves":[10,23],"off":[11],"periodic":[14,18,31],"wall":[15],"or":[16,34],"line":[19],"scatterers.":[21,93],"These":[22],"model":[24],"fluctuations":[26],"thin":[28],"plates":[29],"with":[30],"clamped,":[32],"supported,":[33],"free":[35],"edges.":[36],"use":[38],"Floquet-Bloch":[40],"transform":[41],"to":[42,84],"convert":[43],"problem":[45,58],"into":[46],"collection":[48],"uncoupled":[50],"quasi-periodic":[51,57,70],"problems.":[52],"then":[54],"solve":[55],"each":[56],"efficiently":[59],"and":[60],"accurately":[61],"using":[62],"novel":[64],"integral":[65],"equation":[66],"based":[67],"on":[68],"Green's":[72],"function.":[73],"Finally,":[74],"we":[75],"show":[76],"how":[77],"proposed":[79],"can":[81],"be":[82],"used":[83],"simulate":[85],"from":[87],"junctions":[88],"semi-infinite":[90],"lines":[91]},"counts_by_year":[],"updated_date":"2026-03-05T07:30:30.508283","created_date":"2026-03-04T00:00:00"}
