Adjoint-based error estimation and mesh adaptation for stabilized finite deformation elasticity
DOI10.1016/j.cma.2018.03.035zbMath1440.74394OpenAlexW2795488107WikidataQ130043025 ScholiaQ130043025MaRDI QIDQ1985574
Brian N. Granzow, Assad A. Oberai, Mark S. Shephard
Publication date: 7 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2018.03.035
elasticitynonlinear elasticitymesh adaptationadjointa posteriori error estimationstabilized finite element
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Goal functional evaluations for phase-field fracture using PU-based DWR mesh adaptivity
- Variational localizations of the dual weighted residual estimator
- Error-controlled adaptive goal-oriented modeling and finite element approximations in elasticity
- A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity
- A numerical solution of the Navier-Stokes equations using the finite element technique
- Pollution-error in the \(h\)-version of the finite-element method and the local quality of a posteriori error estimators
- Higher order stabilized finite element method for hyperelastic finite deformation
- A feed-back approach to error control in finite element methods: Application to linear elasticity
- Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow
- Grid adaptation for functional outputs: application to two-dimensional inviscid flows
- On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
- A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity
- Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations.
- Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows.
- A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation
- Output-based error estimation and mesh adaptation for variational multiscale methods
- Recovery of cellular traction in three-dimensional nonlinear hyperelastic matrices
- Adaptive remeshing based on a posteriori error estimation for forging simulation
- 3D anisotropic mesh adaptation by mesh modification
- Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery
- Stabilized finite element formulation for elastic--plastic finite deformations
- Approaches for Adjoint-Based A Posteriori Analysis of Stabilized Finite Element Methods
- Error estimation and adaptivity for incompressible hyperelasticity
- A 10-node composite tetrahedral finite element for solid mechanics
- Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
- An optimal control approach to a posteriori error estimation in finite element methods
- A Posteriori Control of Modeling Errors and Discretization Errors
- Strategies for computing goal-orienteda posteriori error measures in non-linear elasticity
- PUMI
This page was built for publication: Adjoint-based error estimation and mesh adaptation for stabilized finite deformation elasticity