an encyclopedia of finite element definitions

The \(\mathcal{S}_{k}\Lambda^{r}\) / \(S_{1,k}\) family

  • \(\mathcal{S}_{k}\Lambda^{0}(\square_d)\) / \(\left[S_{1,k}^\square\right]_{0}\) (serendipity)
  • \(\mathcal{S}_{k}\Lambda^{1}(\square_d)\) / \(\left[S_{1,k}^\square\right]_{1}\) (serendipity H(curl))
  • \(\mathcal{S}_{k}\Lambda^{d-1}(\square_d)\) / \(\left[S_{1,k}^\square\right]_{d-1}\) (serendipity H(div))
  • \(\mathcal{S}_{k}\Lambda^{d}(\square_d)\) / \(\left[S_{1,k}^\square\right]_{d}\) (dPc)