A discrete elasticity complex on three-dimensional Alfeld splits
A discrete elasticity complex on three-dimensional Alfeld splits
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DOI：
10.1007/s00211-023-01381-9
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发表时间：
2020-09
影响因子：
2.1
通讯作者：
S. Christiansen;J. Gopalakrishnan;Johnny Guzm'an;Kaibo Hu
中科院分区：
文献类型：
--
作者：
S. Christiansen;J. Gopalakrishnan;Johnny Guzm'an;Kaibo Hu
在四面体的Alfeld分裂上构造了合型有限元弹性复合体。复合体由向量场和对称张量场组成，分别通过线性化变形算子、线性化曲率算子和散度算子相互连接。该结构基于一种代数机制，该机制从de Rham复合体中衍生出弹性复合体，以及更平滑的有限元微分形式。
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.