3 papers
math.NA2026
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 …
math.NA2024
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…
math.NA2022
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^…