论文标题
三维Alfeld分裂上的离散弹性复合物
A discrete elasticity complex on three-dimensional Alfeld splits
论文作者
论文摘要
我们在四面体的Alfeld分裂上构造了有限元弹性复合物。该复合物由向量场和对称张量场组成，分别通过线性化变形算子，线性曲率算子和发散操作员相互联系。该结构基于一种代数机械，该代数机械从De〜Rham复合物中得出弹性复合物，并更平滑有限元差分形式。
We construct conforming finite element elasticity complexes on the Alfeld splits of tetrahedra. The complex consists of vector fields and symmetric tensor fields, interlinked via the linearized deformation operator, the linearized curvature operator, and the divergence operator, respectively. The construction is based on an algebraic machinery that derives the elasticity complex from de~Rham complexes, and smoother finite element differential forms.
