4 papers
A robust and optimal method for a sixth-order elliptic singular perturbation problem
Mingqing Chen, Jianguo Huang
In this paper we propose a robust nonconforming finite method for a gradient-elastic Kirchhoff plate (GEKP) model with a small parameter . While the method employs an …
An Optimal and Robust Nonconforming Finite Element Method for the Strain Gradient Elasticity
Jianguo Huang, Xuehai Huang, Zheqian Tang
An optimal and robust low-order nonconforming finite element method is developed for the strain gradient elasticity (SGE) model in arbitrary dimensions. An -nonconforming quad…
A robust interior penalty method for a gradient-elastic Kirchhoff plate model
Mingqing Chen, Jianguo Huang, Xuehai Huang
This paper is devoted to proposing and analyzing a robust interior penalty method for a gradient-elastic Kirchhoff plate (GEKP) model over a convex polygon. The numerical met…
Exponential integrator Fourier Galerkin methods for semilinear parabolic equations
Jianguo Huang, Yuejin Xu
In this paper, in order to improve the spatial accuracy, the exponential integrator Fourier Galerkin method (EIFG) is proposed for solving semilinear parabolic equations in rectang…