{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,13]],"date-time":"2024-04-13T12:54:51Z","timestamp":1713012891358},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017,5,29]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In the present paper a semilinear boundary control problem is considered. For its numerical solution proper orthogonal\ndecomposition (POD) is applied. POD is based on a Galerkin type discretization with basis elements created from the\nevolution problem itself. In the context of optimal control this approach may suffer from the fact that the basis elements\nare computed from a reference trajectory containing features which are quite different from those of the optimally\ncontrolled trajectory. Therefore, different POD basis update strategies which avoid this problem of unmodelled dynamics\nare compared numerically.<\/jats:p>","DOI":"10.1515\/auto-2016-0100","type":"journal-article","created":{"date-parts":[[2017,5,3]],"date-time":"2017-05-03T10:01:29Z","timestamp":1493805689000},"page":"298-307","source":"Crossref","is-referenced-by-count":5,"title":["POD basis updates for nonlinear PDE control"],"prefix":"10.1515","volume":"65","author":[{"given":"Carmen","family":"Gr\u00e4\u00dfle","sequence":"first","affiliation":[{"name":"Universit\u00e4t Hamburg, Fachbereich Mathematik, Bundesstra\u00dfe 55, 20146 Hamburg, Germany Germany"}]},{"given":"Martin","family":"Gubisch","sequence":"additional","affiliation":[{"name":"Universit\u00e4t Konstanz, Fachbereich Mathematik und Statistik, Universit\u00e4tsstra\u00dfe 10, 78457 Konstanz, Germany Germany"}]},{"given":"Simone","family":"Metzdorf","sequence":"additional","affiliation":[{"name":"Universit\u00e4t Konstanz, Fachbereich Mathematik und Statistik, Universit\u00e4tsstra\u00dfe 10, 78457 Konstanz, Germany Germany"}]},{"given":"Sabrina","family":"Rogg","sequence":"additional","affiliation":[{"name":"Universit\u00e4t Konstanz, Fachbereich Mathematik und Statistik, Universit\u00e4tsstra\u00dfe 10, 78457 Konstanz, Germany Germany"}]},{"given":"Stefan","family":"Volkwein","sequence":"additional","affiliation":[{"name":"Universit\u00e4t Konstanz, Fachbereich Mathematik und Statistik, Universit\u00e4tsstra\u00dfe 10, 78457 Konstanz, Germany Germany"}]}],"member":"374","published-online":{"date-parts":[[2017,5,3]]},"container-title":["at - Automatisierungstechnik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.degruyter.com\/view\/j\/auto.2017.65.issue-5\/auto-2016-0100\/auto-2016-0100.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2016-0100\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2016-0100\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,21]],"date-time":"2021-06-21T18:30:27Z","timestamp":1624300227000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2016-0100\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,3]]},"references-count":0,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2017,5,3]]},"published-print":{"date-parts":[[2017,5,29]]}},"alternative-id":["10.1515\/auto-2016-0100"],"URL":"https:\/\/doi.org\/10.1515\/auto-2016-0100","relation":{},"ISSN":["0178-2312","2196-677X"],"issn-type":[{"value":"0178-2312","type":"print"},{"value":"2196-677X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,5,3]]}}}