论文标题
简单的卷曲 - 折曲构成有限元素二维的有限元
Simple curl-curl-conforming finite elements in two dimensions
论文作者
论文摘要
我们在两个空间尺寸中构建平滑的有限元元素复合物。这导致了三个卷曲卷曲的家庭符合有限元素，其中两个包含两个现有家庭。最简单的三角和矩形有限元分别仅具有6和8度的自由度。每个家族的数值实验证明了解决四轮问题的元素的收敛性和效率。
We construct smooth finite element de Rham complexes in two space dimensions. This leads to three families of curl-curl conforming finite elements, two of which contain two existing families. The simplest triangular and rectangular finite elements have only 6 and 8 degrees of freedom, respectively. Numerical experiments for each family demonstrate the convergence and efficiency of the elements for solving the quad-curl problem.
