4 papers
A Construction of Conforming Finite Elements on the Alfeld Split in Any Dimension
Ting Lin, Hendrik Speleers, Qingyu Wu
Constructing conforming finite element spaces in any dimension is a long-standing problem. For general triangulations, this problem was recently addressed by Hu-Lin-Wu (2024)…
Finite Element Complexes with Traces Structures: A unified framework for cohomology and bounded interpolation
Jun Hu, Yizhou Liang, Ting Lin
This paper considers the cohomology and bounded interpolation of nonstandard finite element complexes, e.g. Stokes, Hessian, Elasticity, divdiv. Compared to the standard finite ele…
Discretizing linearized Einstein-Bianchi system by symmetric and traceless tensors
Yuyang Guo, Jun Hu, Ting Lin
The Einstein-Bianchi system uses symmetric and traceless tensors to reformulate Einstein's original field equations. However, preserving these algebraic constraints simultaneously…
The sharpness condition for constructing a finite element from a superspline
Jun Hu, Ting Lin, Qingyu Wu +1
This paper addresses sharpness conditions for constructing conforming finite element spaces from a superspline spaces on general simplicial triangulations. We introduce the c…