most citedConforming Discrete Gradgrad-Complexes in Three Dimensions

6 citations · 6 across the 3 of their papers we have counts for

collaborators

6 papers

math.NA20206 cited

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…

math.NA2020

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…

math.NA2020

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…

math.NA2019

3D -nonconforming tetrahedral finite elements for the biharmonic equation

Jun Hu, Shudan Tian, Shangyou Zhang

In this article, a family of -nonconforming finite elements on tetrahedral grids is constructed for solving the biharmonic equation in 3D. In the family, the polynomi…

math.NA2019

Asymptotically exact a posteriori error estimates of eigenvalues by the Crouzeix-Raviart element and enriched Crouzeix-Raviart element

Jun Hu, Limin Ma

Two asymptotically exact a posteriori error estimates are proposed for eigenvalues by the nonconforming Crouzeix--Raviart and enriched Crouzeix-- Raviart elements. The main challen…

math.NA2019

Asymptotic expansions of eigenvalues by both the Crouzeix-Raviart and enriched Crouzeix-Raviart elements

Jun Hu, Limin Ma

Asymptotic expansions are derived for eigenvalues produced by both the Crouzeix-Raviart element and the enriched Crouzeix--Raviart element. The expansions are optimal in the sense…