{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T13:26:48Z","timestamp":1762522008410},"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>We discuss the discrete formulation of systems of conservation laws in port-Hamiltonian form on dual chain\ncomplexes. Based on integral balance equations and topological information, this representation is exact and qualifies as\na control model. The finite-dimensional approximation requires an energy discretization that yields discrete constitutive\nequations. We give (i) a brief overview of discrete modeling of conservation laws on <jats:italic>n<\/jats:italic>-complexes and (ii) extend\nexisting results by allowing for mixed physical types of boundary inputs. This requires the construction of a primal and\na dual complex based on the underlying staggered grids and the localization of the inputs on the system boundary. Finally,\n(iii) we discuss the properties of the resulting structure-preserving discretization scheme based on a consistency\nanalysis for the 2D nonlinear shallow water equations.<\/jats:p>","DOI":"10.1515\/auto-2016-0098","type":"journal-article","created":{"date-parts":[[2017,5,3]],"date-time":"2017-05-03T10:01:29Z","timestamp":1493805689000},"page":"308-322","source":"Crossref","is-referenced-by-count":14,"title":["Discrete port-Hamiltonian formulation and numerical approximation for systems of two conservation laws"],"prefix":"10.1515","volume":"65","author":[{"given":"Paul","family":"Kotyczka","sequence":"first","affiliation":[{"name":"Univ Lyon, Universit\u00e9 Claude Bernard Lyon 1, CNRS, LAGEP UMR 5007, 43 Boulevard du 11 Novembre 1918, 69622 Villeurbanne Cedex France"}]},{"given":"Bernhard","family":"Maschke","sequence":"additional","affiliation":[{"name":"Univ Lyon, Universit\u00e9 Claude Bernard Lyon 1, CNRS, LAGEP UMR 5007, 43 Boulevard du 11 Novembre 1918, 69622 Villeurbanne Cedex France"}]}],"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-2016-0098\/auto-2016-0098.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2016-0098\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2016-0098\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,21]],"date-time":"2021-06-21T18:30:28Z","timestamp":1624300228000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2016-0098\/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-2016-0098"],"URL":"https:\/\/doi.org\/10.1515\/auto-2016-0098","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]]}}}