3 citations · 5 across the 5 of their papers we have counts for
5 papers
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…
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…
Explicit Lower Bounds Against -Rounds of Sum-of-Squares
Max Hopkins, Ting-Chun Lin
We construct an explicit family of 3-XOR instances hard for -levels of the Sum-of-Squares (SoS) semi-definite programming hierarchy. Not only is this the first explicit const…
A Novel Randomized XR-Based Preconditioned CholeskyQR Algorithm
Yuwei Fan, Yixiao Guo, Ting Lin
CholeskyQR is a simple and fast QR decomposition via Cholesky decomposition, while it has been considered highly sensitive to the condition number. In this paper, we provide a rand…
A Construction of Conforming Finite Element Spaces in Any Dimension
Jun Hu, Ting Lin, Qingyu Wu
This paper proposes a construction of conforming finite element spaces with arbitrary in any dimension. It is shown that if the space of p…