{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T00:57:03Z","timestamp":1773622623560,"version":"3.50.1"},"reference-count":25,"publisher":"Wiley","license":[{"start":{"date-parts":[[2022,2,22]],"date-time":"2022-02-22T00:00:00Z","timestamp":1645488000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003443","name":"Ministry of Education and Science of the Russian Federation","doi-asserted-by":"publisher","award":["0030-2022-0003"],"award-info":[{"award-number":["0030-2022-0003"]}],"id":[{"id":"10.13039\/501100003443","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003443","name":"Ministry of Education and Science of the Russian Federation","doi-asserted-by":"publisher","award":["0030-2021-0017"],"award-info":[{"award-number":["0030-2021-0017"]}],"id":[{"id":"10.13039\/501100003443","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2022,2,22]]},"abstract":"<jats:p>We propose a method of defining absorbing boundary conditions for use in finite element modeling of mechanoacoustic systems. The finite element model of an elastic body is expanded by a water domain, bounded by an axisymmetric surface, to which boundary conditions are applied. The boundary conditions are formed using the method of equivalent sources, so the integral relations for the pressure and its gradient are derived. The method retains its validity for the modeling of radiation in the low-frequency range, as it provides not only the absorption of outgoing waves but also the modeling of the added mass of vibrating elastic bodies.<\/jats:p>","DOI":"10.1155\/2022\/9524376","type":"journal-article","created":{"date-parts":[[2022,2,23]],"date-time":"2022-02-23T01:35:21Z","timestamp":1645580121000},"page":"1-10","source":"Crossref","is-referenced-by-count":4,"title":["Integral Absorbing Boundary Conditions Optimized for Modelling of Acoustic Radiation of Elongated Bodies"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8260-5422","authenticated-orcid":true,"given":"Mikhail B.","family":"Salin","sequence":"first","affiliation":[{"name":"Center for Hydroacoustics, Federal Research Center Institute of Applied Physics of the Russian Academy of Sciences (IAP RAS), Nizhny Novgorod 603093, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3431-4158","authenticated-orcid":true,"given":"Sergey A.","family":"Smirnov","sequence":"additional","affiliation":[{"name":"Center for Hydroacoustics, Federal Research Center Institute of Applied Physics of the Russian Academy of Sciences (IAP RAS), Nizhny Novgorod 603093, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anatoliy S.","family":"Suvorov","sequence":"additional","affiliation":[{"name":"Center for Hydroacoustics, Federal Research Center Institute of Applied Physics of the Russian Academy of Sciences (IAP RAS), Nizhny Novgorod 603093, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Irina A.","family":"Usacheva","sequence":"additional","affiliation":[{"name":"Center for Hydroacoustics, Federal Research Center Institute of Applied Physics of the Russian Academy of Sciences (IAP RAS), Nizhny Novgorod 603093, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Irina A.","family":"V\u2019yushkina","sequence":"additional","affiliation":[{"name":"Center for Hydroacoustics, Federal Research Center Institute of Applied Physics of the Russian Academy of Sciences (IAP RAS), Nizhny Novgorod 603093, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1007\/0-387-22700-8_3"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9399(1991)117:9(2027)"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1071\/EG15068"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.3103\/S0025654420080257"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2006.09.018"},{"key":"6","first-page":"1239","article-title":"An automatic perfectly matched layer for acoustic finite element simulations in convex domains of general shape","volume":"122","author":"H. 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