{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T03:45:39Z","timestamp":1775619939917,"version":"3.50.1"},"reference-count":51,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"5","funder":[{"DOI":"10.13039\/100014600","name":"MathWorks","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100014600","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/L015811\/1"],"award-info":[{"award-number":["EP\/L015811\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/T022132\/1"],"award-info":[{"award-number":["EP\/T022132\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Numer. Anal."],"published-print":{"date-parts":[[2022,10]]},"DOI":"10.1137\/21m1438943","type":"journal-article","created":{"date-parts":[[2022,9,20]],"date-time":"2022-09-20T15:35:25Z","timestamp":1663688125000},"page":"2538-2564","source":"Crossref","is-referenced-by-count":5,"title":["Numerical Analysis of a Discontinuous Galerkin Method for the Borrvall--Petersson Topology Optimization Problem"],"prefix":"10.1137","volume":"60","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3522-8761","authenticated-orcid":true,"given":"Ioannis P. A.","family":"Papadopoulos","sequence":"first","affiliation":[]}],"member":"351","published-online":{"date-parts":[[2022,9,20]]},"reference":[{"key":"atypb1","volume-title":"Numerical analysis of a discontinuous Galerkin method for the Borrvall--Petersson topology optimization problem","author":"Software","year":"2021"},{"key":"atypb2","volume-title":"Sobolev Spaces","author":"Adams R. A.","year":"2003","edition":"2"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.3390\/fluids5010029"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-9286-6"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1007\/s00158-018-2078-0"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1007\/s00158-020-02499-2"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479899358194"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611975543"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142901384162"},{"key":"atypb10","doi-asserted-by":"crossref","unstructured":"S. Balay, S. Abhyankar, M. Adams, J. Brown, P. Brune, K. Buschelman, L. Dalcin, A. Dener, V. Eijkout, W. Gropp, R. Tran Mills, T. Munson, K. Rupp, P. Sana, B. Smith, S. Zampini, H. Zhang, and H. Zhang,PETSc Users Manual, Tech. Report ANL-95\/11 - Revision 3.11, Argonne National Laboratory, Lemont, IL, 2019,http:\/\/www.mcs.anl.gov\/petsc.","DOI":"10.2172\/1614847"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-05086-6"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1080\/10556780500065382"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1002\/fld.426"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1007\/BF01396752"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389710"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drn038"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-006-9107-7"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142900380121"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2012.11.015"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2011.05.004"},{"key":"atypb21","volume-title":"Partial Differential Equations","author":"Evans L. C.","year":"2010","edition":"2"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.200410223"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2014.06.005"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1137\/140984798"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1080\/10556788.2019.1613655"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.5802\/smai-jcm.72"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1137\/18M1219370"},{"key":"atypb28","volume-title":"Advanced Calculus","volume":"5","author":"Fitzpatrick P.","year":"2009","edition":"2"},{"key":"atypb29","volume-title":"Modern Methods in the Calculus of Variations: $L^p$ Spaces","author":"Fonseca I.","year":"2006"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.5802\/smai-jcm.44"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1007\/s00158-004-0508-7"},{"key":"atypb32","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-015-0712-y"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1137\/15M1047696"},{"key":"atypb34","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202511005726"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1007\/s10596-011-9259-x"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1002\/nme.3151"},{"key":"atypb37","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2019.03.010"},{"key":"atypb38","doi-asserted-by":"publisher","DOI":"10.1007\/BF01396415"},{"key":"atypb39","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1468"},{"key":"atypb40","volume-title":"Preconditioners for Computing Multiple Solutions in Three-Dimensional Fluid Topology Optimization, preprint, https:\/\/arxiv.org\/abs\/2202.08248","author":"Papadopoulos I. P. A.","year":"2022"},{"key":"atypb41","doi-asserted-by":"publisher","DOI":"10.1137\/20M1326209"},{"key":"atypb42","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2022.114295"},{"key":"atypb43","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142996313968"},{"key":"atypb44","unstructured":"J. Qin,On the Convergence of Some Low Order Mixed Finite Elements for Incompressible Fluids, Ph.D. thesis, Pennsylvania State University, University Park, PA, 1994."},{"key":"atypb45","doi-asserted-by":"publisher","DOI":"10.1145\/2998441"},{"key":"atypb46","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0064470"},{"key":"atypb47","doi-asserted-by":"publisher","DOI":"10.1137\/0914028"},{"key":"atypb48","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050465"},{"key":"atypb49","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/1985190101111"},{"key":"atypb50","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2021.114177"},{"key":"atypb51","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2010-02412-3"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2022,11,1]],"date-time":"2022-11-01T02:53:06Z","timestamp":1667271186000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/21M1438943"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,20]]},"references-count":51,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2022,10]]}},"alternative-id":["10.1137\/21M1438943"],"URL":"https:\/\/doi.org\/10.1137\/21m1438943","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,9,20]]}}}