{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,29]],"date-time":"2026-08-29T07:56:53Z","timestamp":1787990213375,"version":"build-2784847793"},"reference-count":26,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["9550-16-1-0355"],"award-info":[{"award-number":["9550-16-1-0355"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1522574"],"award-info":[{"award-number":["DMS-1522574"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1318763"],"award-info":[{"award-number":["DMS-1318763"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1619993"],"award-info":[{"award-number":["DMS-1619993"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>We propose and analyze a novel, second-order in time, partitioned method for the interaction between an incompressible, viscous fluid and a thin, elastic structure. The proposed numerical method is based on the Crank--Nicolson discretization scheme, which is used to decouple the system into a fluid subproblem and a structure subproblem. The scheme is loosely coupled, and therefore at every time step, each subproblem is solved only once. Energy and error estimates for a fully discretized scheme using finite element spatial discretization are derived. We prove that the scheme is stable under a CFL condition, second-order convergent in time, and optimally convergent in space. Numerical examples support the theoretically obtained results and demonstrate the applicability of the method to realistic simulations of blood flow.<\/jats:p>","DOI":"10.1137\/17m1140054","type":"journal-article","created":{"date-parts":[[2018,2,20]],"date-time":"2018-02-20T13:14:20Z","timestamp":1519132460000},"page":"590-613","source":"Crossref","is-referenced-by-count":20,"title":["A Second-Order in Time Approximation of Fluid-Structure Interaction Problem"],"prefix":"10.1137","volume":"56","author":[{"given":"Oyekola","family":"Oyekole","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Catalin","family":"Trenchea","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Martina","family":"Buka\u010d","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2018,2,20]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2008.04.006"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2009.04.004"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2011.09.025"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2014.03.006"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2014.03.004"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2009.10.001"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1051\/mmnp\/20116502"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/16M1055396"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1002\/num.21936"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2008.10.012"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2014.07.007"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2004.12.005"},{"key":"atypb13","volume-title":"The Finite Element Method for Elliptic Problems","volume":"4","author":"Ciarlet P.","year":"1978"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2013.09.049"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-012-0481-9"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2008.09.013"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2005.11.011"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(01)00302-4"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1137\/0727022"},{"key":"atypb20","first-page":"109","volume-title":"Topics in Mathematical Modeling and Analysis, Jindr\u0306ich Nec\u0306as Cent. Math. Model. Lect. Notes 7","author":"Hundertmark-Zau\u0161kov\u00e1 A.","year":"2012"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2013.05.025"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-012-0585-5"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1137\/060678439"},{"key":"atypb24","volume-title":"Technical report TR10-19","author":"\u00d6zisik S.","year":"2010"},{"key":"atypb25","first-page":"31","author":"Wang Z.","year":"2015","journal-title":"Int. J. Numer. Methods Biomed. Eng."},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2013.03.025"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/17M1140054","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T15:08:38Z","timestamp":1787324918000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/17M1140054"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["10.1137\/17M1140054"],"URL":"https:\/\/doi.org\/10.1137\/17m1140054","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1]]}}}