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Comp."],"abstract":"<p>In this work we develop a novel fully discrete version of the plates complex, an exact Hilbert complex relevant for the mixed formulation of fourth-order problems. The derivation of the discrete complex follows the discrete de Rham paradigm, leading to an arbitrary-order construction that applies to meshes composed of general polygonal elements. The discrete plates complex is then used to derive a novel numerical scheme for Kirchhoff\u2013Love plates, for which a full stability and convergence analysis are performed. Extensive numerical tests complete the exposition.<\/p>","DOI":"10.1090\/mcom\/3765","type":"journal-article","created":{"date-parts":[[2022,6,8]],"date-time":"2022-06-08T09:25:44Z","timestamp":1654680344000},"page":"51-77","source":"Crossref","is-referenced-by-count":9,"title":["A fully discrete plates complex on polygonal meshes with application to the Kirchhoff\u2013Love problem"],"prefix":"10.1090","volume":"92","author":[{"given":"Daniele","family":"Di Pietro","sequence":"first","affiliation":[]},{"given":"J\u00e9r\u00f4me","family":"Droniou","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2022,8,29]]},"reference":[{"issue":"3","key":"1","doi-asserted-by":"publisher","first-page":"A1417--A1439","DOI":"10.1137\/120877246","article-title":"\u210e\ud835\udc5d-version composite discontinuous Galerkin methods for elliptic problems on complicated domains","volume":"35","author":"Antonietti, Paola F.","year":"2013","journal-title":"SIAM J. 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