A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses
From MaRDI portal
Publication:302251
DOI10.1515/cmam-2016-0012zbMath1360.74134OpenAlexW2462139209MaRDI QIDQ302251
Publication date: 5 July 2016
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/cmam-2016-0012
Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model, Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form, Hybridized discontinuous Galerkin methods for wave propagation, Chinese-German computational and applied mathematics, A Posteriori Error Estimates for a Modified Weak Galerkin Finite Element Approximation of Second Order Elliptic Problems with DG Norm, A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems, Weak Galerkin finite element method for Biot's consolidation problem, Weak Galerkin finite element method for linear elasticity interface problems, Stabilized mixed finite element method for a quasistatic Maxwell viscoelastic model, Unnamed Item, Mixed virtual element methods for elastodynamics with weak symmetry, An interface/boundary-unfitted eXtended HDG method for linear elasticity problems, Penalty-free any-order weak Galerkin FEMs for linear elasticity on quadrilateral meshes, A locking-free weak Galerkin finite element method for linear elasticity problems, A locking-free stabilized embedded discontinuous Galerkin method for linear elasticity with strong symmetric stress and continuous displacement trace approximation, Semi-discrete and fully discrete HDG methods for Burgers' equation, A lowest-order weak Galerkin method for linear elasticity, A robust finite element method for elastic vibration problems, Stabilized mixed finite element methods for linear elasticity on simplicial grids in \(\mathbb{R}^{n}\), Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Natural Convection Problems, A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity, Virtual element method for two-dimensional linear elasticity problem in mixed weakly symmetric formulation, A robust WG finite element method for convection-diffusion-reaction equations, AC0-weak Galerkin finite element method for fourth-order elliptic problems, New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor, A modified weak Galerkin finite element method for the linear elasticity problem in mixed form
Cites Work
- Analysis of a family of HDG methods for second order elliptic problems
- Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
- High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
- Conforming rectangular mixed finite elements for elasticity
- Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods
- State-of-the-art development of hybrid/mixed finite element method
- A robust WG finite element method for convection-diffusion-reaction equations
- New mixed finite elements for plane elasticity and Stokes equations
- Development and testing of stable, invariant, isoparametric curvilinear 2- and 3-D hybrid-stress elements
- A family of higher order mixed finite element methods for plane elasticity
- A weak Galerkin finite element method for the Maxwell equations
- On the construction of optimal mixed finite element methods for the linear elasticity problem
- A new mixed formulation for elasticity
- A family of mixed finite elements for the elasticity problem
- Some equilibrium finite element methods for two-dimensional elasticity problems
- Uniform convergence and a posteriori error estimators for the enhanced strain finite element method
- A hybridizable discontinuous Galerkin formulation for non-linear elasticity
- Enhanced assumed strain elements and locking in membrane problems
- 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 unified analysis for stress/strain hybrid methods of high performance.
- A weak Galerkin finite element method for second-order elliptic problems
- An auxiliary space multigrid preconditioner for the weak Galerkin method
- A two-level algorithm for the weak Galerkin discretization of diffusion problems
- Discontinuous Galerkin methods for incompressible elastic materials
- Combined hybrid approach to finite element schemes of high performance
- Displacement and equilibrium models in the finite element method by B. Fraeijs de Veubeke, Chapter 9, Pages 145–197 of Stress Analysis, Edited by O. C. Zienkiewicz and G. S. Holister, Published by John Wiley & Sons, 1965
- BPX Preconditioner for Nonstandard Finite Element Methods for Diffusion Problems
- Superconvergent HDG methods for linear elasticity with weakly symmetric stresses
- Weak Galerkin finite element methods for Parabolic equations
- Conditions for superconvergence of HDG methods for second-order elliptic problems
- Multigrid for an HDG method
- Analysis of an HDG method for linear elasticity
- NONCONFORMING MIXED ELEMENTS FOR ELASTICITY
- A weak Galerkin mixed finite element method for second order elliptic problems
- Rational approach for assumed stress finite elements
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- A projection-based error analysis of HDG methods
- Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity
- A hybridizable discontinuous Galerkin method for linear elasticity
- PEERS: A new mixed finite element for plane elasticity
- Mixed and Hybrid Finite Element Methods
- Optimization of stress modes by energy compatibility for 4-node hybrid quadrilaterals
- An HDG method for linear elasticity with strong symmetric stresses
- Korn's inequalities for piecewise $H^1$ vector fields
- Mixed Finite Element Methods and Applications
- Analysis of a Two-Level Algorithm for HDG Methods for Diffusion Problems
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
- RECTANGULAR MIXED FINITE ELEMENTS FOR ELASTICITY
- Least-squares methods for linear elasticity based on a discrete minus one inner product
- A weak Galerkin finite element method for the Stokes equations
- Unnamed Item