A posteriori error estimation in large-strain elasticity using equilibrated local Neumann problems
From MaRDI portal
Publication:1808050
DOI10.1016/S0045-7825(97)00310-1zbMath0943.74062MaRDI QIDQ1808050
Publication date: 30 November 1999
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
upper boundvariational formulationmixed finite elementsa posteriori error estimatorOgden materialpostcritical pathlinearly elastic materialfirst Piola-Kirchhoff stress tensorlarge-strain elasticitynearly-incompressible rubber-like materialsNeumann problem with equilibrated tractionsQ2/P1 elementtwo-field energy functional
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15)
Related Items
An explicit residual-type error estimator for Q1-quadrilateral extended finite element method in two-dimensional linear elastic fracture mechanics, Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity, A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. II: A posteriori error analysis, Constant-free explicit error estimator with sharp upper error bound property for adaptive FE analysis in elasticity and fracture, A compatible mixed finite element method for large deformation analysis of two‐dimensional compressible solids in spatial configuration, An Introductory Review on A Posteriori Error Estimation in Finite Element Computations, Discretization error for the discrete Kirchhoff plate finite element approximation, Large elastic deformation of micromorphic shells. Part II. Isogeometric analysis, Realistic computable error bounds for three-dimensional finite element analyses in linear elasticity, A mixed finite element method for the generalized Stokes problem, An a posteriori error estimator for two-body contact problems on non-matching meshes, Guaranteed computable error bounds for conforming and nonconforming finite element analyses in planar elasticity, Constitutive relation errors for F.E. analysis considering (visco‐) plasticity and damage, Local error estimates of FEM for displacements and stresses in linear elasticity by solving local Neumann problems, A mixed-FEM formulation for nonlinear incompressible elasticity in the plane, A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem, A posteriori error estimator and error control for contact problems, Compatible-strain mixed finite element methods for 2D compressible nonlinear elasticity, Anisotropic discretization- and model-error estimation in solid mechanics by local Neumann problems, Variationally consistent discretization schemes and numerical algorithms for contact problems, A dual-mixed finite element method for nonlinear incompressible elasticity with mixed boundary conditions, Error-controlled adaptive goal-oriented modeling and finite element approximations in elasticity, Goal-oriented a posteriori error estimates in linear elastic fracture mechanics, Analysis, finite element computation and error estimation in transversely isotropic nearly incompressible finite elasticity, A posteriori error estimates for a mixed-FEM formulation of a nonlinear elliptic problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
- Lectures on three-dimensional elasticity. Notes by S. Kesavan
- A posteriori error estimators for the Stokes equations
- Large strain analysis of rubber-like materials based on a perturbed Lagrangian variational principle
- Accuracy and optimal meshes in finite element computation for nearly incompressible materials
- Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
- An equilibrium method for stress calculation using finite element displacement models
- A unified approach to a posteriori error estimation using element residual methods
- A posteriori error estimation for \(h-p\) approximations in elastostatics
- Pollution-error in the \(h\)-version of the finite-element method and the local quality of a posteriori error estimators
- On some mixed finite element methods for incompressible and nearly incompressible finite elasticity
- On the perturbed Lagrangian formulation for nearly incompressible and incompressible hyperelasticity
- A posteriori error estimation in finite element analysis
- An a posteriori error estimate for finite element approximations of the Navier-Stokes equations
- A posteriori error estimates for the Stokes equations: A comparison
- A Posteriori Error Estimators for the Stokes and Oseen Equations
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- Error Estimate Procedure in the Finite Element Method and Applications
- A finite element formulation for nonlinear incompressible elastic and inelastic analysis
- Mixed and Hybrid Finite Element Methods
- A Posteriori Error Estimates for Nonlinear Problems. Finite Element Discretizations of Elliptic Equations
- Consistent finite element procedures for nonlinear rubber elasticity with a higher order strain energy function
- Validation of a posteriori error estimators by numerical approach
- A model study of element residual estimators for linear elliptic problems: The quality of the estimators in the interior of meshes of triangles and quadrilaterals
- Zur Plattenberechnung mittels finiter Elemente