155 citations · 987 across the 104 of their papers we have counts for
6 papers · 1 filter
Randomized Method of Subspace Corrections
Xiaozhe Hu, Jinchao Xu, Ludmil Zikatanov
In this paper, we consider the iterative method of subspace corrections with random ordering. We prove identities for the expected convergence rate, which can provide sharp estimat…
Simplex-averaged finite element methods for , and convection-diffusion problems
Shuonan Wu, Jinchao Xu
This paper is devoted to the construction and analysis of the finite element approximations for the convection-diffusion problems, where can be chosen as , $…
ReLU Deep Neural Networks and Linear Finite Elements
Juncai He, Lin Li, Jinchao Xu +1
In this paper, we investigate the relationship between deep neural networks (DNN) with rectified linear unit (ReLU) function as the activation function and continuous piecewise lin…
Make Regularization Effective in Training Sparse CNN
Juncai He, Xiaodong Jia, Jinchao Xu +2
Compressed Sensing using regularization is among the most powerful and popular sparsification technique in many applications, but why has it not been used to obtain sparse…
Uniform Stability and Error Analysis for Some Discontinuous Galerkin Methods
Qingguo Hong, Jinchao Xu
In this paper, we provide a number of new estimates on the stability and convergence of both hybrid discontinuous Galerkin (HDG) and weak Galerkin (WG) methods. By using the standa…
Generalized Gaffney inequality and discrete compactness for discrete differential forms
Juncai He, Kaibo Hu, Jinchao Xu
We prove generalized Gaffney inequalities and the discrete compactness for finite element differential forms on -regular domains, including general Lipschitz domains. In computa…