4 citations · 20 across the 22 of their papers we have counts for
10 papers · 1 filter
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…
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes
Baoli Yin, Yang Liu, Hong Li +1
This article devotes to developing robust but simple correction techniques and efficient algorithms for a class of second-order time stepping methods, namely the shifted fractional…
A family of finite element Stokes complexes in three dimensions
Kaibo Hu, Qian Zhang, Zhimin Zhang
We construct finite element Stokes complexes on tetrahedral meshes in three-dimensional space. In the lowest order case, the finite elements in the complex have 4, 18, 16, and 1 de…
Finite Element Calculation of Photonic Band Structures for Frequency Dependent Materials
Wenqiang Xiao, Bo Gong, Jiguang Sun +1
We consider the calculation of the band structure of frequency dependent photonic crystals. The associated eigenvalue problem is nonlinear and it is challenging to develop effectiv…
Three families of grad-div-conforming finite elements
Qian Zhang, Zhimin Zhang
Several smooth finite element de Rham complexes are constructed in three-dimensional space, which yield three families of grad-div conforming finite elements. The simplest element…
A priori and a posteriori error estimates for the quad-curl eigenvalue problem
Lixiu Wang, Qian Zhang, Jiguang Sun +1
In this paper, we propose a new family of H(curl^2)-conforming elements for the quad-curl eigenvalue problem in 2D. The accuracy of this family is one order higher than that in [32…