JournalsrlmVol. 28, No. 1pp. 143–180

Serendipity face and edge VEM spaces

  • Lourenço Beirão da Veiga

    Università di Milano-Bicocca, Italy and Consiglio Nazionale delle Ricerche, Pavia, Italy
  • Franco Brezzi

    Consiglio Nazionale delle Ricerche, Pavia, Italy
  • Luisa Donatella Marini

    Università di Pavia, Italy and Consiglio Nazionale delle Ricerche, Pavia, Italy
  • Alessandro Russo

    Università di Milano-Bicocca, Italy and Consiglio Nazionale delle Ricerche, Pavia, Italy
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Abstract

We extend the basic idea of Serendipity Virtual Elements from the previous case (by the same authors) of nodal (piecewise smooth and continuous) elements, to a more general framework. Then we apply the general strategy to the case of HH(div) and H(curl)H(\mathbf {curl}) conforming Virtual Element Methods, in two and three dimensions.

Cite this article

Lourenço Beirão da Veiga, Franco Brezzi, Luisa Donatella Marini, Alessandro Russo, Serendipity face and edge VEM spaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 28 (2017), no. 1, pp. 143–180

DOI 10.4171/RLM/756