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Published in:
2018 | OriginalPaper | Chapter
9. Non-conforming Finite Element Methods
Authors : Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin
Published in: The Gradient Discretisation Method
Publisher: Springer International Publishing
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Abstract
Non-conforming methods are presented in the context of the GDM. An abstract framework is developed that covers a wide range of non-conforming methods, and the special case of non-conforming \(\mathbb {P}_k\) finite elements is then considered. In the case \(k=1\), the presentation is given for all classical boundary conditions, and mass-lumped non-conforming \(Pfe_1\) finite elements are also shown to be GDs.