A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation
From MaRDI portal
Publication:298251
DOI10.1016/j.cam.2015.12.015zbMath1338.74104arXiv1508.03855OpenAlexW2963605320MaRDI QIDQ298251
Junping Wang, Ruishu Wang, Ran Zhang, Chunmei Wang
Publication date: 20 June 2016
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.03855
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for elliptic systems (35J50)
Related Items
Weak Galerkin method for the Stokes equations with damping, Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model, Hybrid high-order methods for finite deformations of hyperelastic materials, A family of interior-penalized weak Galerkin methods for second-order elliptic equations, Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form, A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains, A conforming discontinuous Galerkin finite element method for linear elasticity interface problems, A coupling of weak Galerkin and mixed finite element methods for poroelasticity, A Posteriori Error Estimates for a Modified Weak Galerkin Finite Element Approximation of Second Order Elliptic Problems with DG Norm, Weak Galerkin finite element method for Biot's consolidation problem, Penalty-free any-order weak Galerkin FEMs for elliptic problems on quadrilateral meshes, Weak Galerkin finite element method for linear elasticity interface problems, A Hybrid High-Order Method for Nonlinear Elasticity, A divergence free weak virtual element method for the Stokes problem on polytopal meshes, Numerical and theoretical study of weak Galerkin finite element solutions of Turing patterns in reaction–diffusion systems, Unnamed Item, The lowest-order weak Galerkin finite element method for linear elasticity problems on convex polygonal grids, Curved elements in weak Galerkin finite element methods, An extended \(P_1\)-nonconforming finite element method on general polytopal partitions, On the enriched mixed Galerkin method with \(\theta\) scheme for the elastic wave equation, A New Locking-Free Virtual Element Method for Linear Elasticity Problems, A hybridized weak Galerkin finite element scheme for linear elasticity problem, Penalty-free any-order weak Galerkin FEMs for linear elasticity on quadrilateral meshes, Generalized weak Galerkin finite element methods for biharmonic equations, A locking-free weak Galerkin finite element method for linear elasticity problems, A weak Galerkin method for nonlinear stochastic parabolic partial differential equations with additive noise, A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model, A locking free numerical approximation for quasilinear poroelasticity problems, A locking-free solver for linear elasticity on quadrilateral and hexahedral meshes based on enrichment of Lagrangian elements, A lowest-order weak Galerkin method for linear elasticity, A robust finite element method for elastic vibration problems, A new upwind weak Galerkin finite element method for linear hyperbolic equations, A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes, New primal-dual weak Galerkin finite element methods for convection-diffusion problems, A Staggered Cell-Centered DG Method for Linear Elasticity on Polygonal Meshes, Stabilized mixed finite element methods for linear elasticity on simplicial grids in \(\mathbb{R}^{n}\), A weak Galerkin-mixed finite element method for the Stokes-Darcy problem, A variational multiscale discontinuous Galerkin formulation for both implicit and explicit dynamic modeling of interfacial fracture, Lowest-order weak Galerkin finite element methods for linear elasticity on rectangular and brick meshes, A weak Galerkin finite element method for a type of fourth order problem arising from fluorescence tomography, A conforming discontinuous Galerkin finite element method on rectangular partitions, Hybridized weak Galerkin finite element methods for Brinkman equations, A symmetric weak Galerkin method for solving non-divergence form elliptic equations, A Multipoint Stress Mixed Finite Element Method for Elasticity on Simplicial Grids, Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions, New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor, An a posteriori error estimator for the weak Galerkin least-squares finite-element method, A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes, Polynomial preserving recovery for a class of weak Galerkin finite element methods, A modified weak Galerkin finite element method for the linear elasticity problem in mixed form, Analysis of a weak Galerkin method for second-order elliptic equations with minimal regularity on polytopal meshes, An \(L^p\)-primal-dual weak Galerkin method for convection-diffusion equations, A weak Galerkin method for elasticity interface problems, Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- Locking effects in the finite element approximation of elasticity problems
- 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
- 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
- A weak Galerkin finite element method with polynomial reduction
- An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes
- A weak Galerkin mixed finite element method for second order elliptic problems
- Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
- PEERS: A new mixed finite element for plane elasticity
- On Korn's second inequality
- Mixed and Hybrid Finite Element Methods
- Korn's inequalities for piecewise $H^1$ vector fields
- Weak Galerkin finite element methods for elliptic PDEs
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
- Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems