A modified weak Galerkin finite element method for the linear elasticity problem in mixed form

DOI10.1016/j.cam.2022.114743zbMath1497.65239OpenAlexW4296550550MaRDI QIDQ2087481

Shangyou Zhang, Huifang Zhou, Xianglong Meng, Xiuli Wang

Publication date: 21 October 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114743

zbMATH Keywords

linear elasticity problemdiscrete weak divergencemodified weak Galerkin finite element method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for elliptic systems (35J50)

Related Items (2)

A critical review on molecular dynamics applied to structure fracture and failure analysis ⋮ The lowest-order weak Galerkin finite element method for linear elasticity problems on convex polygonal grids

Cites Work

• Unnamed Item
• A weak Galerkin finite element scheme for solving the stationary Stokes equations
• The weak Galerkin method for solving the incompressible Brinkman flow
• A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation
• A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses
• Weak Galerkin methods for second order elliptic interface problems
• Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity
• Stochastic asymptotical stability for stochastic impulsive differential equations and it is application to chaos synchronization
• A modified weak Galerkin finite element method for the Stokes equations
• A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems
• A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods
• Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
• Discrete maximum principle for the \(P_{1}\)-\(P_{0}\) weak Galerkin finite element approximations
• A new modified weak Galerkin finite element scheme for solving the stationary Stokes equations
• Weak Galerkin mixed finite element method for heat equation
• A lowest-order weak Galerkin method for linear elasticity
• Mixed finite elements for elasticity
• A weak Galerkin finite element method for second-order elliptic problems
• A locking-free finite difference method on staggered grids for linear elasticity problems
• An effective implementation for Stokes equation by the weak Galerkin finite element method
• Polynomial preserving recovery for a class of weak Galerkin finite element methods
• An absolutely stable weak Galerkin finite element method for the Darcy-Stokes problem
• A weak Galerkin finite element method with polynomial reduction
• A computational study of the weak Galerkin method for second-order elliptic equations
• A weak Galerkin mixed finite element method for second order elliptic problems
• Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity
• Locking-free DGFEM for elasticity problems in polygons
• A Weak Galerkin Finite Element Method for the Linear Elasticity Problem in Mixed Form
• A finite volume procedure to solve elastic solid mechanics problems in three dimensions on an unstructured mesh
• The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations
• Wong--Zakai Approximations of Stochastic Allen-Cahn Equation
• A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation
• Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems

This page was built for publication: A modified weak Galerkin finite element method for the linear elasticity problem in mixed form