16 citations · 20 across the 9 of their papers we have counts for
9 papers
A Staggered Discontinuous Galerkin Method for linear elasticity problem on Polytopal Meshes
Long Chen, Xuehai Huang, Ruishu Wang +1
This paper develops a novel staggered discontinuous Galerkin (SDG) method for linear elasticity based on the Hellinger-Reissner variational principle. We construct symmetric stress…
A Primal Staggered Discontinuous Galerkin Method on Polytopal Meshes
L. Chen, X. Huang, E. Park +1
This paper introduces a novel staggered discontinuous Galerkin (SDG) method tailored for solving elliptic equations on polytopal meshes. Our approach utilizes a primal-dual grid fr…
Mixed Variational Formulation of Coupled Plates
Jun Hu, Zhen Liu, Rui Ma +1
This paper proposes a mixed variational formulation for the problem of two coupled plates with a rigid {junction}. The proposed mixed {formulation} introduces {the union of} stress…
An arbitrary order locking-free weak Galerkin method for linear elasticity problems based on a reconstruction operator
Fuchang Huo, Ruishu Wang, Yanqiu Wang +1
The weak Galerkin (WG) finite element method has shown great potential in solving various type of partial differential equations. In this paper, we propose an arbitrary order locki…
A Locking-Free Weak Galerkin Finite Element Method for Linear Elasticity Problems
Fuchang Huo, Ruishu Wang, Yanqiu Wang +1
In this paper, we introduce and analyze a lowest-order locking-free weak Galerkin (WG) finite element scheme for the grad-div formulation of linear elasticity problems. The scheme…
Supercloseness analysis and polynomial preserving recovery for a class of weak Galerkin method
Ruishu Wang, Ran Zhang, Xu Zhang +1
In this paper, we analyze convergence and supercloseness properties of a class of weak Galerkin (WG) finite element methods for solving second-order elliptic problems. It is shown…
A Weak Galerkin Finite Element Scheme for solving the stationary Stokes Equations
Ruishu Wang, Xiaoshen Wang, Qilong Zhai +1
A weak Galerkin (WG) finite element method for solving the stationary Stokes equations in two- or three- dimensional spaces by using discontinuous piecewise polynomials is develope…
A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems
Qilong Zhai, Xiu Ye, Ruishu Wang +1
A new weak Galerkin (WG) finite element method for solving the second-order elliptic problems on polygonal meshes by using polynomials of boundary continuity is introduced and anal…
A Locking-Free Weak Galerkin Finite Element Method for Elasticity Problems in the Primal Formulation
Chunmei Wang, Junping Wang, Ruishu Wang +1
This paper presents an arbitrary order locking-free numerical scheme for linear elasticity on general polygonal/polyhedral partitions by using weak Galerkin (WG) finite element met…