14 citations · 21 across the 4 of their papers we have counts for
4 papers
Solving Biharmonic Eigenvalue Problem With Navier Boundary Condition Via Poisson Solvers On Non-Convex Domains
Baiju Zhang, Hengguang Li, Zhimin Zhang
It is well known that the usual mixed method for solving the biharmonic eigenvalue problem by decomposing the operator into two Laplacians may generate spurious eigenvalues on non-…
A finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain
Hengguang Li, Peimeng Yin, Zhimin Zhang
In this paper, we study the biharmonic equation with the Navier boundary conditions in a polygonal domain. In particular, we propose a method that effectively decouples the 4th-ord…
Regularity and finite element approximation for two-dimensional elliptic equations with line Dirac sources
Hengguang Li, Xiang Wan, Peimeng Yin +1
We study the elliptic equation with a line Dirac delta function as the source term subject to the Dirichlet boundary condition in a two-dimensional domain. Such a line Dirac measur…
A Novel Stochastic Stratified Average Gradient Method: Convergence Rate and Its Complexity
Aixiang Chen, Bingchuan Chen, Xiaolong Chai +2
SGD (Stochastic Gradient Descent) is a popular algorithm for large scale optimization problems due to its low iterative cost. However, SGD can not achieve linear convergence rate a…