48 citations · 102 across the 30 of their papers we have counts for
6 papers · 1 filter
A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids
Jun Hu, Rui Ma, Min Zhang
This paper introduces a new family of mixed finite elements for solving a mixed formulation of the biharmonic equations in two and three dimensions. The symmetric stress $\bmσ=-\na…
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…
Characterization of Sobolev spaces by their Fourier coefficients in axisymmetric domains
Martin Costabel, Monique Dauge, Jun-Qi Hu
Using Fourier series representations of functions on axisymmetric domains, we find weighted Sobolev norms of the Fourier coefficients of a function that yield norms equivalent to t…
New Discontinuous Galerkin Algorithms and Analysis for Linear Elasticity with Symmetric Stress Tensor
Qingguo Hong, Jun Hu, Limin Ma +1
This paper presents a new and unified approach to the derivation and analysis of many existing, as well as new discontinuous Galerkin methods for linear elasticity problems. The an…