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.
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Droniou, J., Eymard, R., Gallouët, T., Guichard, C., Herbin, R. (2018). Non-conforming Finite Element Methods. In: The Gradient Discretisation Method. Mathématiques et Applications, vol 82. Springer, Cham. https://doi.org/10.1007/978-3-319-79042-8_9
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DOI: https://doi.org/10.1007/978-3-319-79042-8_9
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-79041-1
Online ISBN: 978-3-319-79042-8
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