1 citations · 2 across the 6 of their papers we have counts for
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A robust lower order mixed finite element method for a strain gradient elasticity model
Mingqing Chen, Jianguo Huang, Xuehai Huang
A robust nonconforming mixed finite element method is developed for a strain gradient elasticity (SGE) model. In two and three dimensional cases, a lower order -continuous $H^…
Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations
Jianguo Huang, Lili Ju, Yuejin Xu
In this paper, we propose an efficient exponential integrator finite element method for solving a class of semilinear parabolic equations in rectangular domains. The proposed metho…
A novel locking-free virtual element method for linear elasticity problems
Jianguo Huang, Sen Lin, Yue Yu
This paper devises a novel lowest-order conforming virtual element method (VEM) for planar linear elasticity with the pure displacement/traction boundary condition. The main trick…
A sparse grid discrete ordinate discontinuous Galerkin method for the radiative transfer equation
Jianguo Huang, Yue Yu
The radiative transfer equation is a fundamental equation in transport theory and applications, which is a 5-dimensional PDE in the stationary one-velocity case, leading to great d…
Some Error Analysis on Virtual Element Methods
Long Chen, Jianguo Huang
Some error analysis on virtual element methods including inverse inequalities, norm equivalence, and interpolation error estimates are presented for polygonal meshes which admits a…
An -version error analysis of the discontinuous Galerkin method for linear elasticity
Jianguo Huang, Xuehai Huang
An -version error analysis is developed for the general DG method in mixed formulation for solving the linear elastic problem. First of all, we give the -version error esti…