A unified study is presented in this paper for the design and analysis of different finite
element methods (FEMs), including conforming and nonconforming FEMs, mixed FEMs …

This article proposes a selective immersed discontinuous Galerkin method based on
bilinear immersed finite elements (IFE) for solving second‐order elliptic interface problems …

In this paper, we study a mixed discontinuous Galerkin (MDG) method to solve linear
elasticity problem with arbitrary order discontinuous finite element spaces in d-dimension …

In this paper, we design two classes of stabilized mixed finite element methods for linear
elasticity on simplicial grids. In the first class of elements, we use 𝑯⁢(div, Ω; 𝕊)-P k and 𝑳 …

Primal stabilized hybrid finite element methods for the linear elasticity problem are proposed
consisting of locally discontinuous Galerkin problems in the primal variable coupled to a …

We study a mixed discontinuous Galerkin (DG) method for solving the second-order wave
equation. The stress variable p and the displacement variable u are discretized by the mixed …

In this paper, we propose a new finite element approach to simulate the time-dependent
Ginzburg-Landau equations under the temporal gauge, and design an efficient …

This paper presents a weak Galerkin (WG) finite element method for linear elasticity on
general polygonal and polyhedral meshes, free from convexity constraints, by leveraging …

In this article, we employ discontinuous Galerkin methods for the finite element
approximation of the frictionless unilateral contact problem using quadratic finite elements …

A compact discontinuous Galerkin method (CDG) is devised for nearly incompressible linear
elasticity, through replacing the global lifting operator for determining the numerical trace of …