论文标题
$ h（\ mathrm {curl}）$和$ h（\ mathrm {div}）$的部分不连续的淋巴结有限元素
Partially discontinuous nodal finite elements for $H(\mathrm{curl})$ and $H(\mathrm{div})$
论文作者
论文摘要
我们通过部分不连续的节点有限元元素，即矢量值的lagrange有限元元素，在两个和三个空间维度中调查$ h（\ mathrm {curl}）$和$ h（\ mathrm {div}）$的离散化。这些空间可以作为连续和不连续的拉格朗日元素的组合实现，并适合De〜rham复合体。我们构建了条件良好的节点碱基。
We investigate discretization of $H(\mathrm{curl})$ and $H(\mathrm{div})$ in two and three space dimensions by partially discontinuous nodal finite elements, i.e., vector-valued Lagrange finite elements with discontinuity in certain directions. These spaces can be implemented as a combination of continuous and discontinuous Lagrange elements and fit in de~Rham complexes. We construct well-conditioned nodal bases.
