{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,12]],"date-time":"2026-09-12T03:52:41Z","timestamp":1789185161568,"version":"build-2803163510"},"reference-count":37,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1319720"],"award-info":[{"award-number":["DMS-1319720"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2017,1]]},"abstract":"<jats:p>High frequency integral equation methodologies display the capability of reproducing single-scattering returns in frequency-independent computational times and employ a Neumann series formulation to handle multiple scattering effects. This requires the solution of an enormously large number of single-scattering problems to attain a reasonable numerical accuracy in geometrically challenging configurations. Here we propose a novel and effective Krylov subspace method suitable for the use of high frequency integral equation techniques that significantly accelerates the convergence of Neumann series. We additionally complement this strategy utilizing a preconditioner based upon Kirchhoff approximations that provides a further reduction in the overall computational cost.<\/jats:p>","DOI":"10.1137\/16m1080501","type":"journal-article","created":{"date-parts":[[2017,12,6]],"date-time":"2017-12-06T12:31:34Z","timestamp":1512563494000},"page":"B1130-B1155","source":"Crossref","is-referenced-by-count":7,"title":["Acceleration of an Iterative Method for the Evaluation of High-Frequency Multiple Scattering Effects"],"prefix":"10.1137","volume":"39","author":[{"given":"Yassine","family":"Boubendir","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fatih","family":"Ecevit","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fernando","family":"Reitich","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2017,12,6]]},"reference":[{"key":"atypb1","first-page":"165","volume":"318","author":"Abboud T.","year":"1994","journal-title":"C. R. Acad. Sci. Paris"},{"key":"atypb2","first-page":"178","volume-title":"Mathematical and Numerical Aspects of Wave Propagation: Mandelieu-La Napoule","author":"Abboud T.","year":"1995"},{"key":"atypb3","volume-title":"Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables","author":"Abramowitz M.","year":"2014"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1016\/S0955-7997(02)00161-3"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-009-0263-1"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.4203\/csets.18.8"},{"key":"atypb7","first-page":"1","volume":"38","author":"Balabane M.","year":"2004","journal-title":"Asymptot. Anal."},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drm001"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492910000012"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2006.02.050"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-013-0525-9"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2001.6714"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2003.1338"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2005.844567"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1137\/060662575"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02835-3"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1007\/s00466-009-0377-4"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-007-0071-4"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-016-0800-7"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-009-0249-z"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1977-0436612-4"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1137\/100804644"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1070\/RM1971v026n01ABEH003813"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.11.024"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2012.01.041"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1016\/j.wavemoti.2003.12.004"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2006.06.007"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2011.01.017"},{"key":"atypb29","first-page":"395","volume":"5","author":"Hesthaven J. S.","year":"2004","journal-title":"CMES Comput. Model. Eng. Sci."},{"key":"atypb30","first-page":"138","volume-title":"Proc. Sympos. Pure Math. 10","author":"H\u00f6rmander L.","year":"1967"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1007\/BF02392052"},{"key":"atypb32","doi-asserted-by":"publisher","DOI":"10.1137\/060651525"},{"key":"atypb33","volume-title":"Birkh\u00e4user","author":"Lebedev V. I.","year":"1997"},{"key":"atypb34","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718003"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-016-9475-y"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1109\/TAP.2010.2055809"},{"key":"atypb37","series-title":"SIAM J. Sci. Comput., to appear.","volume-title":"Nested domain decomposition with polarized traces for the $2$D Helmholtz equation","author":"Zepeda-N\u00fan\u0342ez L."}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/16M1080501","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:39:48Z","timestamp":1787333988000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/16M1080501"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1]]},"references-count":37,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2017,1]]}},"alternative-id":["10.1137\/16M1080501"],"URL":"https:\/\/doi.org\/10.1137\/16m1080501","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1]]}}}