4 papers
Finite elements for symmetric and traceless tensors in three dimensions
Kaibo Hu, Ting Lin, Bowen Shi
We construct a family of finite element sub-complexes of the conformal complex on tetrahedral meshes and show their exactness on contractible domains. This complex includes vector…
Deep learning and the rate of approximation by flows
Jingpu Cheng, Qianxiao Li, Ting Lin +1
We investigate the dependence of the approximation capacity of deep residual networks on its depth in a continuous dynamical systems setting. This can be formulated as the general…
Regge metrics with enhanced trace
Snorre H. Christiansen, Ting Lin
We introduce variants of Regge finite element metrics with enhanced properties of the trace. In particular the trace operator is surjective to a finite element space of continuous…
Finite element form-valued forms: Construction
Kaibo Hu, Ting Lin
We provide a finite element discretization of -form-valued -forms on triangulation in for general , and and any polynomial degree. The const…