A comparison of mapping algorithms for hierarchical adaptive FEM in finite elasto-plasticity
From MaRDI portal
Publication:1015570
DOI10.1007/s00466-006-0051-zzbMath1166.74033OpenAlexW2153120940MaRDI QIDQ1015570
Anke Bucher, Reiner Kreißig, Uwe-Jens Görke, Arnd Meyer
Publication date: 8 May 2009
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-006-0051-z
element-oriented extrapolation procedurenodal history-dependent state datapatch-oriented transfer approach
Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)
Related Items
A robust numerical procedure for the thermomechanical flow simulation of friction stir welding process using an adaptive element-free Galerkin method, A consistent mixed finite element formulation for hydro-mechanical processes in~saturated porous media at large strains based on a generalized material description, An updated Lagrangian method with error estimation and adaptive remeshing for very large deformation elasticity problems, Efficient 3D data transfer operators based on numerical integration, Lie-group interpolation and variational recovery for internal variables, A hierarchically enhanced recovery-based error estimator for bidimensional elastoplastic modelling by generalized finite element approach, Towards the Direct and Inverse Adaptive Mixed Finite Element Formulations for Nearly Incompressible Elasticity at Large Strains, Projection and transfer operators in adaptive isogeometric analysis with hierarchical B-splines, Fully automatic multigrid adaptive mesh refinement strategy with controlled accuracy for nonlinear quasi-static problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On superconvergence techniques
- Adaptive finite element methods in computational mechanics
- The superconvergent patch recovery (SPR) and adaptive finite element refinement
- Enhanced derivative recovery through least square residual penalty
- Transfer operators for evolving meshes in small strain elasto-plasticity
- Averaging techniques for reliable a posteriori FE error control in elastoplasticity with hardening
- A material model for finite elasto-plastic deformations considering a substructure.
- Recovery procedures in error estimation and adaptivity. II: Adaptivity in nonlinear problems of elasto-plasticity behaviour
- Superconvergence in Galerkin finite element methods
- A contribution to error estimation and mapping algorithms for a hierarchical adaptive FE-strategy in finite elastoplasticity
- Superconvergent patch recovery techniques - some further tests
- A simple error estimator and adaptive procedure for practical engineerng analysis
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
- A‐posteriori error estimates for the finite element method
- Patch recovery based on superconvergent derivatives and equilibrium
- Superconvergent patch recovery with equilibrium and conjoint interpolant enhancements
- Superconvergent patch recovery of finite‐element solution and a posteriori L2 norm error estimate
- Validation of a posteriori error estimators by numerical approach
- Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions
- Some remarks on the history and future of averaging techniques in a posteriori finite element error analysis
- A hierarchical adaptive finite element strategy for elastic–plastic problems
- Condensation algorithms for the regular mesh substructuring
- Local and global smoothing of discontinuous finite element functions using a least squares method
- On the calculation of consistent stress distributions in finite element approximations
- Averaging technique for FE -- a posteriori error control in elasticity. I: Conforming FEM
- Development of a generalized material interface for the simulation of finite elasto-plastic deformations.
