A lowest-order weak Galerkin method for linear elasticity

DOI10.1016/j.cam.2018.10.016zbMath1469.74111OpenAlexW2898145960WikidataQ129073695 ScholiaQ129073695MaRDI QIDQ1713174

Peng Zhang

Publication date: 24 January 2019

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.2018.10.016

zbMATH Keywords

error estimatedisplacement formulationpost-processing techniquelocking-free weak finite element method

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (13)

Penalty-free any-order weak Galerkin FEMs for elliptic problems on quadrilateral meshes ⋮ An immersed weak Galerkin method for elliptic interface problems on polygonal meshes ⋮ The lowest-order weak Galerkin finite element method for linear elasticity problems on convex polygonal grids ⋮ Analysis of a \(\boldsymbol{P}_1 \oplus \boldsymbol{RT}_0\) finite element method for linear elasticity with Dirichlet and mixed boundary conditions ⋮ On the enriched mixed Galerkin method with \(\theta\) scheme for the elastic wave equation ⋮ Penalty-free any-order weak Galerkin FEMs for linear elasticity on quadrilateral meshes ⋮ Weak Galerkin finite element methods with and without stabilizers for H(div;Ω)${\bf H}(\mbox{div}; \Omega )$‐elliptic problems ⋮ A locking-free weak Galerkin finite element method for linear elasticity problems ⋮ A locking-free solver for linear elasticity on quadrilateral and hexahedral meshes based on enrichment of Lagrangian elements ⋮ A lowest-order weak Galerkin finite element method for Stokes flow on polygonal meshes ⋮ New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor ⋮ A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems ⋮ A modified weak Galerkin finite element method for the linear elasticity problem in mixed form

Cites Work

• Unnamed Item
• Unnamed Item
• 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 stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods
• A weak Galerkin finite element method for the Maxwell equations
• Aspects of an adaptive \(hp\)-finite element method: Adaptive strategy, conforming approximation and efficient solvers
• Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity
• Mixed finite elements for 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
• An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes
• Nonconforming mixed finite element methods for linear elasticity using rectangular elements in two and three dimensions
• A Weak Galerkin Mixed Finite Element Method for Biharmonic Equations
• Weak Galerkin finite element methods for Parabolic equations
• A new weak Galerkin finite element method for the Helmholtz equation
• Minimal degree $H(\mathrm {curl})$ and $H(\mathrm {div})$ conforming finite elements on polytopal meshes
• A Hybridized Weak Galerkin Finite Element Method for the Biharmonic Equation
• Mixed finite element methods for linear elasticity with weakly imposed symmetry
• Finite Element Methods for Navier-Stokes Equations
• The $h-p$ version of the finite element method with quasiuniform meshes
• Nonconforming Finite Element Methods for the Equations of Linear Elasticity
• Mixed and Hybrid Finite Element Methods
• Linear Finite Element Methods for Planar Linear Elasticity
• Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
• A NEW NONCONFORMING MIXED FINITE ELEMENT METHOD FOR LINEAR ELASTICITY
• RECTANGULAR MIXED FINITE ELEMENTS FOR ELASTICITY
• A weak Galerkin finite element method for the Stokes equations

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