4 papers
An interior penalty nonconforming finite element method for strain gradient elasticity
Xuehai Huang, Zheqian Tang
An interior penalty nonconforming finite element method is developed for a strain gradient elasticity (SGE) model in arbitrary dimensions, using an -nonconforming displacement…
A Lowest-Order Robust Mixed Finite Element Method with a Third-Order Tensor Variable for Strain Gradient Elasticity
Xuehai Huang, Zheqian Tang
A lowest-order mixed finite element method is developed for the strain gradient elasticity (SGE) model in arbitrary dimensions. We take the physically meaningful third-order double…
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…
Robust and Optimal Mixed Methods for a Fourth-Order Elliptic Singular Perturbation Problem
Xuehai Huang, Zheqian Tang
A series of robust and optimal mixed methods based on two mixed formulations of the fourth-order elliptic singular perturbation problem are developed in this paper. First, a mixed…