A posteriori error estimation for elasto-plastic problems based on duality theory
From MaRDI portal
Publication:1365610
DOI10.1016/S0045-7825(96)01136-XzbMath0886.73082MaRDI QIDQ1365610
Leonidas S. Xanthis, Sergey I. Repin
Publication date: 4 September 1997
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
nonlinear boundary value problemscalculus of variationsconforming approximationduality error estimators
Optimization of other properties in solid mechanics (74P10) Plastic materials, materials of stress-rate and internal-variable type (74C99)
Related Items
Explicit constants in Poincaré-type inequalities for simplicial domains and application to a posteriori estimates ⋮ A posteriori error estimation for elasto-plastic problems based on duality theory ⋮ A posteriori error estimation for nonlinear variational problems by duality theory ⋮ Adaptive Finite Element Solution of Variational Inequalities with Application in Contact Problems ⋮ A Posteriori Error Estimates for the Approximations of the Stresses in the Hencky Plasticity Problem ⋮ Application of functional error estimates with mixed approximations to plane problems of linear elasticity ⋮ A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind ⋮ A posteriori error estimation for variational problems with uniformly convex functionals ⋮ Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems ⋮ Adaptive FEM analysis of selected elastic-visco-plastic problems ⋮ Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems ⋮ Functional a posteriori error estimates for incremental models in elasto-plasticity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Basic problems of a posteriori error estimation
- Adaptive finite element methods in computational mechanics
- The superconvergent patch recovery (SPR) and adaptive finite element refinement
- Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
- Dual spaces of stresses and strains, with applications to Hencky plasticity
- General framework, stability and error analysis for numerical stiff boundary value methods
- Some equilibrium finite element methods for two-dimensional elasticity problems
- Existence of the displacements field for an elasto-plastic body subject to Hecky's law and von Mises yield condition
- Functions of bounded deformation
- A posteriori error estimators in the finite element method
- Incremental formulation in nonlinear mechanics and large strain elasto- plasticity - natural approach. II
- A posteriori error estimators for second order elliptic systems. II: An optimal order process for calculating self-equilibrating fluxes
- A unified approach to a posteriori error estimation using element residual methods
- A posteriori error estimation and adaptive mesh-refinement techniques
- Consistency, stability, a priori and a posteriori errors for Petrov- Galerkin methods applied to nonlinear problems
- A posteriori error estimation for elasto-plastic problems based on duality theory
- Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems
- An a posteriori error estimate for finite element approximations of the Navier-Stokes equations
- Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
- A new variational principle for finite elastic displacements
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- The self-equilibration of residuals and complementarya posteriori error estimates in the finite element method
- Error Estimate Procedure in the Finite Element Method and Applications
- A simple error estimator and adaptive procedure for practical engineerng analysis
- A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional Problems
- Analysis of the Efficiency of an a Posteriori Error Estimator for Linear Triangular Finite Elements
- An outstanding scientific career
- A‐posteriori error estimates for the finite element method
- Error Estimates for Adaptive Finite Element Computations
- A Posteriori Error Estimates for Nonlinear Problems. Finite Element Discretizations of Elliptic Equations
- A posteriori error analysis for linearization of nonlinear elliptic problems and their discretizations
- The problem of the selection of an a posteriori error indicator based on smoothening techniques
- Numerical analysis of nonsmooth variational problems of perfect plasticity
- ERRORS OF FINITE ELEMENT METHOD FOR PERFECTLY ELASTO-PLASTIC PROBLEMS
