3 papers
math.NA2023
Local Bounded Commuting Projection Operators for Discrete Gradgrad Complexes
Jun Hu, Yizhou Liang, Ting Lin
This paper discusses the construction of local bounded commuting projections for discrete subcomplexes of the gradgrad complexes in two and three dimensions, which play an importan…
math.NA2023
Local Bounded Commuting Projection Operator for Discrete de Rham Complexes
Jun Hu, Yizhou Liang, Ting Lin
The local bounded commuting projection operators of nonstandard finite element de Rham complexes in two and three dimensions are constructed systematically. The assumptions of the…
math.NA2023
Finite element grad grad complexes and elasticity complexes on cuboid meshes
Jun Hu, Yizhou Liang, Ting Lin
This paper constructs two conforming finite element grad grad and elasticity complexes on the cuboid meshes. For the finite element grad grad complex, an conforming finite el…