A stabilizer free weak Galerkin finite element method for the linear elasticity equations
DOI10.3934/CPAA.2024049zbMATH Open1546.65108MaRDI QIDQ6599736
Yongkui Zou, Ruishu Wang, Yue Feng, Hui Peng
Publication date: 6 September 2024
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05) 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) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation
- Discretization by finite elements of a model parameter dependent problem
- Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
- An analysis of the p-version of the finite element method for nearly incompressible materials. Uniformly valid, optimal error estimates
- Mixed finite elements for elasticity
- A weak Galerkin finite element method for second-order elliptic problems
- Lowest-order weak Galerkin finite element methods for linear elasticity on rectangular and brick meshes
- A stabilizer free weak Galerkin finite element method for parabolic equation
- A stabilizer-free weak Galerkin finite element method on polytopal meshes
- Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem
- A weak Galerkin mixed finite element method for second order elliptic problems
- Weak Galerkin Finite Element Methods on Polytopal Meshes
- PEERS: A new mixed finite element for plane elasticity
- Nonconforming Finite Element Methods for the Equations of Linear Elasticity
- A Weak Galerkin Finite Element Method for the Linear Elasticity Problem in Mixed Form
- A weak Galerkin finite element scheme for the Cahn-Hilliard equation
- Korn's inequalities for piecewise $H^1$ vector fields
- A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations
- A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes
- $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations
- The Weak Galerkin Method for Elliptic Eigenvalue Problems
- Numerical Approximation to A Stochastic Parabolic PDE with Weak Galerkin Method
- A New Weak Galerkin Finite Element Scheme for the Brinkman Model
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
- A weak Galerkin finite element method for the Stokes equations
- Optimal convergence analysis of weak Galerkin finite element methods for parabolic equations with lower regularity
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