6 citations · 7 across the 6 of their papers we have counts for
10 papers · 1 filter
New conforming finite element divdiv complexes in three dimensions
Jun Hu, Yizhou Liang, Rui Ma +1
In this paper, the first family of conforming finite element divdiv complexes on cuboid grids in three dimensions is constructed. Besides, a new family of conforming finite element…
Theoretical analysis of the extended cyclic reduction algorithm
Xuhao Diao, Jun Hu, Suna Ma
The extended cyclic reduction algorithm developed by Swarztrauber in 1974 was used to solve the block-tridiagonal linear system. The paper fills in the gap of theoretical results c…
Conforming finite element DIVDIV complexes and the application for the linearized Einstein-Bianchi system
Jun Hu, Yizhou Liang, Rui Ma
This paper presents the first family of conforming finite element divdiv complexes on tetrahedral grids in three dimensions. In these complexes, finite element spaces of $H(\text{d…
Conforming Discrete Gradgrad-Complexes in Three Dimensions
Jun Hu, Yizhou Liang
In this paper, the first family of conforming discrete three dimensional Gradgrad-complexes consisting of finite element spaces is constructed. These discrete complexes are exact i…
Finite Element Methods For Interface Problems On Local Anisotropic Fitting Mixed Meshes
Jun Hu, Hua Wang
A simple and efficient interface-fitted mesh generation algorithm is developed in this paper. This algorithm can produce a local anisotropic fitting mixed mesh which consists of bo…
Preconditioned Legendre spectral Galerkin methods for the non-separable elliptic equation
Xuhao Diao, Jun Hu, Suna Ma
The Legendre spectral Galerkin method of self-adjoint second order elliptic equations usually results in a linear system with a dense and ill-conditioned coefficient matrix. In thi…