3 papers
math.NA2025
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…
math.NA2025
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…
math.NA2025
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…