A locking-free weak Galerkin finite element method for linear elasticity problems

DOI10.1016/j.camwa.2024.02.032arXiv2309.05255MaRDI QIDQ6202641

Fuchang Huo, Ran Zhang, Ruishu Wang, Yanqiu Wang

Publication date: 26 March 2024

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.05255

zbMATH Keywords

locking-freeweak Galerkin finite element methodsweak derivativelinear elasticity problems\(H(div)\)-conforming reconstruction

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

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
• A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order
• A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods
• A weak Galerkin finite element method for the Maxwell equations
• Locking effects in the finite element approximation of elasticity problems
• 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
• On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
• A lowest-order weak Galerkin method for linear elasticity
• The weak Galerkin finite element method for incompressible flow
• A right-inverse for divergence operator in spaces of piecewise polynomials. Application to the p-version of the finite element method
• A locking-free nonconforming finite element method for planar linear elasticity
• A weak Galerkin finite element method for second-order elliptic problems
• A locking-free discontinuous Galerkin method for linear elasticity in locally nearly incompressible heterogeneous media
• Lowest-order weak Galerkin finite element methods for linear elasticity on rectangular and brick meshes
• An auxiliary space multigrid preconditioner for the weak Galerkin method
• Robust weak Galerkin finite element solvers for Stokes flow based on a lifting operator
• Viscosity robust weak Galerkin finite element methods for Stokes problems
• Reduced symmetry elements in linear elasticity
• A modified weak Galerkin finite element method for the biharmonic equation on polytopal meshes
• Virtual Elements for Linear Elasticity Problems
• A weak Galerkin mixed finite element method for second order elliptic problems
• A new elasticity element made for enforcing weak stress symmetry
• LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENT FOR THE THREE-DIMENSIONAL ELASTICITY PROBLEM
• Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity
• PEERS: A new mixed finite element for plane elasticity
• Mixed and Hybrid Finite Element Methods
• Analysis of Some Quadrilateral Nonconforming Elements for Incompressible Elasticity
• Supercloseness analysis and polynomial preserving Recovery for a class of weak Galerkin Methods
• A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh
• A locking-free P0 finite element method for linear elasticity equations on polytopal partitions
• Pressure Robust Weak Galerkin Finite Element Methods for Stokes Problems
• A Weak Galerkin Finite Element Method for the Navier-Stokes Equations
• Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems
• A New Weak Galerkin Finite Element Scheme for the Brinkman Model
• The Mathematical Theory of Finite Element Methods
• Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems
• A weak Galerkin finite element method for the Navier-Stokes equations
• A weak Galerkin finite element method for the Navier-Stokes equations
• A weak Galerkin finite element method for the Stokes equations

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