{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T13:07:46Z","timestamp":1775480866122,"version":"3.50.1"},"reference-count":50,"publisher":"Informa UK Limited","issue":"3","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Optimization Methods and Software"],"published-print":{"date-parts":[[2019,5,4]]},"DOI":"10.1080\/10556788.2018.1425859","type":"journal-article","created":{"date-parts":[[2018,2,1]],"date-time":"2018-02-01T07:32:02Z","timestamp":1517470322000},"page":"586-611","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":11,"title":["Computational networks and systems \u2013 homogenization of variational problems on micro-architectured networks and devices"],"prefix":"10.1080","volume":"34","author":[{"given":"Erik","family":"Kropat","sequence":"first","affiliation":[{"name":"Faculty of Informatics, University of the Bundeswehr Munich, Neubiberg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Silja","family":"Meyer-Nieberg","sequence":"additional","affiliation":[{"name":"Faculty of Informatics, University of the Bundeswehr Munich, Neubiberg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gerhard-Wilhelm","family":"Weber","sequence":"additional","affiliation":[{"name":"Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey"},{"name":"Present address: Faculty of Engineering Management, Chair of Marketing and Economic Engineering, Poznan University of Technology, 60\u2013965 Poznan, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","published-online":{"date-parts":[[2018,1,31]]},"reference":[{"key":"CIT0001","doi-asserted-by":"publisher","DOI":"10.1002\/nme.4682"},{"key":"CIT0002","doi-asserted-by":"publisher","DOI":"10.1137\/0521046"},{"key":"CIT0003","first-page":"681","volume":"15","author":"Auriault J.-L.","year":"1996","journal-title":"Eur. J. Mech. A"},{"key":"CIT0004","volume-title":"Dynamics of Fluids in Porous Media","author":"Bear J.","year":"1988"},{"key":"CIT0005","doi-asserted-by":"publisher","DOI":"10.1007\/BF01209156"},{"key":"CIT0006","first-page":"21","volume":"37","author":"Bochner S.","year":"1935","journal-title":"Trans. Am. Math. Soc."},{"key":"CIT0007","doi-asserted-by":"publisher","DOI":"10.1007\/BF02395468"},{"key":"CIT0008","first-page":"1","volume":"9","author":"Bouchitt\u00e9 G.","year":"2002","journal-title":"J. Convex Anal."},{"key":"CIT0009","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141000370260"},{"key":"CIT0010","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198507840.001.0001"},{"key":"CIT0011","doi-asserted-by":"publisher","DOI":"10.1023\/A:1007609122248"},{"key":"CIT0012","first-page":"61","volume":"30","author":"Chechkin G.A.","year":"2002","journal-title":"Asymp. Anal."},{"key":"CIT0013","doi-asserted-by":"publisher","DOI":"10.1090\/mmono\/234"},{"key":"CIT0014","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2158-6"},{"key":"CIT0015","doi-asserted-by":"publisher","DOI":"10.1002\/9781118086810"},{"key":"CIT0017","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0327-8"},{"key":"CIT0018","first-page":"408","volume":"3","author":"Fortin A.","year":"2012","journal-title":"Int. J. Numer. Anal. Model. Ser. B"},{"key":"CIT0019","doi-asserted-by":"publisher","DOI":"10.1137\/090757344"},{"key":"CIT0020","volume-title":"Cellular Solids. Structure and Properties","author":"Gibson L.","year":"1999"},{"key":"CIT0021","series-title":"Classics in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61798-0","volume-title":"Elliptic Partial Differential Equations of Second Order","author":"Gilbarg D.","year":"2001"},{"key":"CIT0022","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmps.2005.04.010"},{"key":"CIT0023","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-22061-6"},{"key":"CIT0024","volume-title":"Homogenization and Structural Topology Optimization: Theory, Practice and Software","author":"Hassani B.","year":"2011"},{"key":"CIT0025","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1920-0"},{"key":"CIT0026","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-84659-5"},{"key":"CIT0027","volume-title":"Photonic Crystals","author":"Joannopoulos J.","year":"2008"},{"key":"CIT0028","doi-asserted-by":"publisher","DOI":"10.1016\/j.biomaterials.2011.06.012"},{"key":"CIT0029","series-title":"Interdisciplinary Applied Mathematics","volume-title":"Microflows and Nanoflows. Fundamentals and Simulation","volume":"29","author":"Karniadakis G.","year":"2005"},{"key":"CIT0030","doi-asserted-by":"publisher","DOI":"10.1051\/cocv:2008037"},{"key":"CIT0032","volume-title":"\u00dcber die Homogenisierung von Netzwerk-Differentialgleichungen","author":"Kropat E.","year":"2007"},{"key":"CIT0034","first-page":"293","volume":"22","author":"Kropat E.","year":"2015","journal-title":"Dyn. Contin. Discret Impuls. Syst. Ser. B"},{"key":"CIT0035","doi-asserted-by":"publisher","DOI":"10.1088\/0959-7174\/14\/1\/014"},{"key":"CIT0037","doi-asserted-by":"publisher","DOI":"10.1023\/A:1014481629504"},{"key":"CIT0038","doi-asserted-by":"publisher","DOI":"10.1016\/S1251-8069(97)83186-7"},{"key":"CIT0039","doi-asserted-by":"publisher","DOI":"10.1063\/1.2710001"},{"key":"CIT0040","doi-asserted-by":"publisher","DOI":"10.1137\/S1540345903423919"},{"key":"CIT0041","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202599000415"},{"key":"CIT0042","volume-title":"Asymptotische Theorie elliptischer Randwertaufgaben in singul\u00e4r gest\u00f6rten Gebieten II","author":"Mazja V.","year":"1991"},{"key":"CIT0043","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmps.2005.04.006"},{"key":"CIT0044","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmps.2004.03.011"},{"key":"CIT0047","doi-asserted-by":"publisher","DOI":"10.1142\/S021820259800007X"},{"key":"CIT0048","first-page":"57","volume":"1","author":"Panasenko G.","year":"2000","journal-title":"Int. J. Comput. Civil Struct. Eng."},{"key":"CIT0050","doi-asserted-by":"publisher","DOI":"10.1007\/s10958-005-0500-9"},{"key":"CIT0051","series-title":"Texts in Applied Mathematics","volume-title":"Multiscale Methods. Averaging and Homogenization","volume":"53","author":"Pavliotis G.","year":"2008"},{"key":"CIT0052","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-23588-7"},{"key":"CIT0053","series-title":"Interdisciplinary Applied Mathematics","volume-title":"Heterogeneous Materials. Nonlinear and Breakdown Properties and Atomistic Modeling","volume":"23","author":"Sahimi M.","year":"2003"},{"key":"CIT0054","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-05195-1"},{"key":"CIT0055","first-page":"483","volume":"25","author":"Vogelius M.","year":"1991","journal-title":"RAIRO Mod\u00e9lisation Math\u00e9matique et Analyse Num\u00e9rique"},{"key":"CIT0056","doi-asserted-by":"publisher","DOI":"10.1039\/c3tc30722k"},{"key":"CIT0057","doi-asserted-by":"publisher","DOI":"10.1070\/SM2000v191n07ABEH000491"}],"container-title":["Optimization Methods and Software"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10556788.2018.1425859","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,26]],"date-time":"2020-10-26T20:47:11Z","timestamp":1603745231000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10556788.2018.1425859"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1,31]]},"references-count":50,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2019,4,8]]},"published-print":{"date-parts":[[2019,5,4]]}},"alternative-id":["10.1080\/10556788.2018.1425859"],"URL":"https:\/\/doi.org\/10.1080\/10556788.2018.1425859","relation":{},"ISSN":["1055-6788","1029-4937"],"issn-type":[{"value":"1055-6788","type":"print"},{"value":"1029-4937","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,1,31]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=goms20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=goms20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2016-10-10","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2017-12-13","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2018-01-31","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}