论文标题
糟糕的法林分裂上的确切序列
Exact sequences on Worsey-Farin Splits
论文作者
论文摘要
我们构建了在三维糟糕的 - 法林拆分上定义的几个平滑有限元元素空间。 In particular, we construct $C^1$, $H^1(\curl)$, and $H^1$-conforming finite element spaces and show the discrete spaces satisfy local exactness properties.空间的一个特征是它们的低多项式程度，并且在网格的子简约中缺乏外部超级平滑度。 In the lowest order case, the last two spaces in the sequence consist of piecewise linear and piecewise constant spaces, and are suitable for the discretization of the (Navier-)Stokes equation.
We construct several smooth finite element spaces defined on three--dimensional Worsey--Farin splits. In particular, we construct $C^1$, $H^1(\curl)$, and $H^1$-conforming finite element spaces and show the discrete spaces satisfy local exactness properties. A feature of the spaces is their low polynomial degree and lack of extrinsic supersmoothness at sub-simplices of the mesh. In the lowest order case, the last two spaces in the sequence consist of piecewise linear and piecewise constant spaces, and are suitable for the discretization of the (Navier-)Stokes equation.
