{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T15:31:56Z","timestamp":1772292716719,"version":"3.50.1"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"4","funder":[{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"crossref","award":["FA9550-13-1-0199"],"award-info":[{"award-number":["FA9550-13-1-0199"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"crossref"}]},{"name":"NSF","award":["DMS-1016092"],"award-info":[{"award-number":["DMS-1016092"]}]},{"name":"US Army Research Laboratory and US Army Research Office","award":["W911NF-11-2-0046"],"award-info":[{"award-number":["W911NF-11-2-0046"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014,10,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In this paper\nwe consider the transmission eigenvalue problem corresponding to acoustic scattering by a bounded isotropic inhomogeneous object in two dimensions. This is a non-self-adjoint eigenvalue problem for a quadratic pencil of operators. In particular we are concerned with theoretical error analysis of a finite element method for computing the eigenvalues and corresponding eigenfunctions. Our analysis of convergence makes use of Osborn's perturbation theory for eigenvalues of non-self-adjoint compact operators. Some numerical examples are presented to confirm our theoretical error analysis.<\/jats:p>","DOI":"10.1515\/cmam-2014-0021","type":"journal-article","created":{"date-parts":[[2014,7,25]],"date-time":"2014-07-25T08:14:00Z","timestamp":1406276040000},"page":"419-427","source":"Crossref","is-referenced-by-count":50,"title":["Error Analysis for the Finite Element Approximation of Transmission Eigenvalues"],"prefix":"10.1515","volume":"14","author":[{"given":"Fioralba","family":"Cakoni","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Monk","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiguang","family":"Sun","sequence":"additional","affiliation":[{"name":"Mathematical Sciences, Michigan Technological University, 1400 Townsend Drive, Houghton, MI 49931-1295, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2014,7,24]]},"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/14\/4\/article-p419.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0021\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0021\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T21:02:50Z","timestamp":1680296570000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2014-0021\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7,24]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2014,8,20]]},"published-print":{"date-parts":[[2014,10,1]]}},"alternative-id":["10.1515\/cmam-2014-0021"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2014-0021","relation":{},"ISSN":["1609-4840","1609-9389"],"issn-type":[{"value":"1609-4840","type":"print"},{"value":"1609-9389","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,7,24]]}}}