Convergence of adaptive finite element methods in computational mechanics
From MaRDI portal
Publication:1030782
DOI10.1016/j.apnum.2008.12.006zbMath1419.74232OpenAlexW2148669110MaRDI QIDQ1030782
Publication date: 2 July 2009
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2008.12.006
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)
Related Items
Quasi-optimal complexity of adaptive finite element method for linear elasticity problems in two dimensions, hp-adaptive extended finite element method, An optimal adaptive mixed finite element method, An optimal adaptive finite element method for elastoplasticity, \(h\)-\(p\) spectral element methods for three dimensional elliptic problems on non-smooth domains, Convergence of adaptive FEM for some elliptic obstacle problem, On the development of adaptive random differential quadrature method with an error recovery technique and its application in the locally high gradient problems, Energy contraction and optimal convergence of adaptive iterative linearized finite element methods, Duality results and regularization schemes for Prandtl–Reuss perfect plasticity
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Matlab implementation of the finite element method in elasticity
- Adaptive finite element methods in computational mechanics
- An adaptive mesh-refining algorithm allowing for an \(H^1\) stable \(L^2\) projection onto Courant finite element spaces
- Feedback and adaptive finite element solution of one-dimensional boundary value problems
- A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity
- Existence theorems for plasticity problems
- On plasticity with hardening
- Computational inelasticity
- Plasticity. Mathematical theory and numerical analysis
- Averaging techniques for reliable a posteriori FE error control in elastoplasticity with hardening
- Numerical analysis of the primal problem of elastoplasticity with hardening
- A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity
- A review of a posteriori error estimation techniques for elasticity problems
- Convergent adaptive finite elements for the nonlinear Laplacian
- Adaptive finite element methods with convergence rates
- Adaptive numerical analysis in primal elastoplasticity with hardening
- Optimality of a standard adaptive finite element method
- Convergence of an adaptive FEM for a class of degenerate convex minimization problems
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- A Mixed Finite Element Method for Plasticity Problems with Hardening
- Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods
- Convergence of Adaptive Finite Element Methods
- Elastoviscoplastic Finite Element analysis in 100 lines of Matlab
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods
- A convergent adaptive finite element method for the primal problem of elastoplasticity
- Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements
- The generalized finite element method
