Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form

DOI10.1007/s11464-018-0730-zzbMath1405.65155OpenAlexW2895657781WikidataQ129150267 ScholiaQ129150267MaRDI QIDQ1626562

Qian Zhou, Ruishu Wang, Kai Zhang, Xiao Shen Wang

Publication date: 27 November 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-018-0730-z

zbMATH Keywords

linear elasticitymixed finite element methodhybridization techniqueweak Galerkin (WG)

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Error bounds for boundary value problems involving PDEs (65N15) PDEs of mixed type (35M10) 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) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations ⋮ The lowest-order weak Galerkin finite element method for linear elasticity problems on convex polygonal grids ⋮ A hybridized weak Galerkin finite element scheme for linear elasticity problem ⋮ New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor

Cites Work

• Unnamed Item
• A weak Galerkin finite element scheme for solving the stationary Stokes equations
• A hybridized formulation for the weak Galerkin mixed finite element method
• 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 \(C^0\)-weak Galerkin finite element method for the biharmonic equation
• A posteriori error estimates for weak Galerkin finite element methods for second order elliptic problems
• A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order
• Mixed \(hp\)-finite element method for linear elasticity with weakly imposed symmetry
• Multi-level Monte Carlo weak Galerkin method for elliptic equations with stochastic jump coefficients
• A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods
• A robust WG finite element method for convection-diffusion-reaction equations
• A family of higher order mixed finite element methods for plane elasticity
• Two families of mixed finite elements for second order elliptic problems
• Some equilibrium finite element methods for two-dimensional elasticity problems
• Mixed finite elements for elasticity
• A weak Galerkin finite element method for second-order elliptic problems
• A two-level algorithm for the weak Galerkin discretization of diffusion problems
• A mixed finite element method for elasticity in three dimensions
• An equilibrium stress field model for finite element solutions of two- dimensional elastostatic problems
• A weak Galerkin mixed finite element method for second order elliptic problems
• Weak Galerkin Finite Element Methods on Polytopal Meshes
• Mixed finite element methods for linear elasticity with weakly imposed symmetry
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• PEERS: A new mixed finite element for plane elasticity
• A Weak Galerkin Finite Element Method for the Linear Elasticity Problem in Mixed Form
• Robust Globally Divergence-Free Weak Galerkin Methods for Stokes Equations
• A New Weak Galerkin Finite Element Scheme for the Brinkman Model
• A weak Galerkin finite element method for the Stokes equations

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