论文标题
Crouzeix-Raviart和Raviart-Thomas有限元空间的正交关系
Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces
论文作者
论文摘要
在一般条件下得出了将Raviart-Thomas有限元矢量场的投影与Crouzeix-Raviart有限元函数的离散梯度相关联的身份。推导了各种含义，例如离散凸双重性结果以及对Crouzeix-Ravaiart空间投影的图像的表征。
Identities that relate projections of Raviart-Thomas finite element vector fields to discrete gradients of Crouzeix-Raviart finite element functions are derived under general conditions. Various implications such as discrete convex duality results and a characterization of the image of the projection of the Crouzeix-Ravaiart space onto elementwise constant functions are deduced.
