{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T16:24:35Z","timestamp":1754151875628,"version":"3.41.2"},"reference-count":27,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"DOI":"10.13039\/501100004837","name":"MICINN","doi-asserted-by":"crossref","award":["PID2020-114173RB-I00","PID2023-147790OB-I00"],"award-info":[{"award-number":["PID2020-114173RB-I00","PID2023-147790OB-I00"]}],"id":[{"id":"10.13039\/501100004837","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100023561","name":"Ministerio de Universidades","doi-asserted-by":"crossref","award":["RD 289\/2021"],"award-info":[{"award-number":["RD 289\/2021"]}],"id":[{"id":"10.13039\/501100023561","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100004837","name":"MICINN","doi-asserted-by":"crossref","award":["PID2020-116287GB-I00"],"award-info":[{"award-number":["PID2020-116287GB-I00"]}],"id":[{"id":"10.13039\/501100004837","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["FA9550-23-1-0256"],"award-info":[{"award-number":["FA9550-23-1-0256"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2025,8,31]]},"DOI":"10.1137\/24m1686905","type":"journal-article","created":{"date-parts":[[2025,7,21]],"date-time":"2025-07-21T08:00:35Z","timestamp":1753084835000},"page":"1561-1585","source":"Crossref","is-referenced-by-count":0,"title":["Trefftz Discontinuous Galerkin Approximation of an Acoustic Waveguide"],"prefix":"10.1137","volume":"63","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6539-5897","authenticated-orcid":true,"given":"Peter","family":"Monk","sequence":"first","affiliation":[{"name":"Mathematical Sciences Department, University of Delaware, Newark, DE, 19716 USA."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7362-2586","authenticated-orcid":true,"given":"Manuel","family":"Pena","sequence":"additional","affiliation":[{"name":"Depto. Matem\u00e1tica Aplicada I, Universidade de Vigo, Campus das Lagoas-Marcosende, 36310 Vigo, Spain."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0567-5766","authenticated-orcid":true,"given":"Virginia","family":"Selgas","sequence":"additional","affiliation":[{"name":"Depto. Matem\u00e1ticas, EPIG, Universidad de Oviedo, 33203 Gij\u00f3n, Spain."}]}],"member":"351","published-online":{"date-parts":[[2025,7,21]]},"reference":[{"key":"ref1","volume-title":"Pure Appl. Math.","volume":"65","author":"Adams R.","year":"1975"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142901384162"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2008.04.008"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2021.110449"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/24\/1\/015018"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1051\/m2an:2008033"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142995285873"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-96415-7_44"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-018-9621-9"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.21136\/AM.2024.0080-24"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-024-10130-x"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-22061-6_9"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2009002"},{"volume-title":"Elliptic problems in nonsmooth domains","year":"1985","author":"Grisvard P.","key":"ref15"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/090761057"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.apnum.2012.12.004"},{"key":"ref18","series-title":"Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations, Lect. Notes Comput. Sci. Eng. 114","first-page":"237","author":"Hiptmair R.","year":"2016"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2006.10.016"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2002.7148"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TAP.2024.3373063"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1023\/A:1004377501747"},{"key":"ref23","unstructured":"J. M. Melenk, L. Demkowicz, and S. Henneking, Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides, Technical report 2, Oden Institute, The University of Texas at Austin, Austin, TX, 2023, https:\/\/www.oden.utexas.edu\/media\/pending_reports\/paper1.pdf."},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s00033-011-0142-3"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.3934\/ipi.2012.6.709"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(98)00326-0"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2023081"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/s007910050004"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,7,21]],"date-time":"2025-07-21T08:00:38Z","timestamp":1753084838000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1686905"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,21]]},"references-count":27,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,8,31]]}},"alternative-id":["10.1137\/24M1686905"],"URL":"https:\/\/doi.org\/10.1137\/24m1686905","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"type":"print","value":"0036-1429"},{"type":"electronic","value":"1095-7170"}],"subject":[],"published":{"date-parts":[[2025,7,21]]}}}