an encyclopedia of finite element definitions

The \(S_{2,k}\) or \(\mathcal{S}^-_{k}\Lambda^{r}\) family

  • \(\left[S_{2,k}^\square\right]_{0}\) or \(\mathcal{S}^-_{k}\Lambda^{0}(\square_d)\) (serendipity)
  • \(\left[S_{2,k}^\square\right]_{1}\) or \(\mathcal{S}^-_{k}\Lambda^{1}(\square_d)\) (trimmed serendipity H(curl))
  • \(\left[S_{2,k}^\square\right]_{d-1}\) or \(\mathcal{S}^-_{k}\Lambda^{d-1}(\square_d)\) (trimmed serendipity H(div))
  • \(\left[S_{2,k}^\square\right]_{d}\) or \(\mathcal{S}^-_{k}\Lambda^{d}(\square_d)\) (dPc)