|Publisher DOI:||10.1051/m2an/2015090||Title:||The nonconforming virtual element method||Language:||English||Authors:||Ayuso De Dios, Blanca
|Keywords:||Elliptic problems;Nonconforming method;Poisson equation;Unstructured meshes;Virtual element method||Issue Date:||1-May-2016||Source:||ESAIM: Mathematical Modelling and Numerical Analysis 3 (50): 879-904 (2016-05-01)||Journal or Series Name:||ESAIM: Mathematical Modelling and Numerical Analysis||Abstract (english):||We introduce the nonconforming Virtual Element Method (VEM) for the approximation of second order elliptic problems. We present the construction of the new element in two and three dimensions, highlighting the main differences with the conforming VEM and the classical nonconforming finite element methods. We provide the error analysis and establish the equivalence with a family of mimetic finite difference methods. Numerical experiments verify the theory and validate the performance of the proposed method.||URI:||http://hdl.handle.net/11420/6151||ISSN:||0764-583X||Institute:||Mathematik E-10||Type:||(wissenschaftlicher) Artikel|
|Appears in Collections:||Publications without fulltext|
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