Equilibrated Stress Reconstruction and a Posteriori Error Estimation for Linear Elasticity
DOI10.1007/978-3-030-33520-5_3zbMath1453.74076OpenAlexW2991372080MaRDI QIDQ5115150
Marcel Moldenhauer, Bernhard Kober, Gerhard Starke, Fleurianne Bertrand
Publication date: 29 June 2020
Published in: Novel Finite Element Technologies for Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-33520-5_3
Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Axioms of adaptivity
- A unified framework for a posteriori error estimation for the Stokes problem
- Equilibrated residual error estimates are \(p\)-robust
- A unified approach to a posteriori error estimation using element residual methods
- A review of a posteriori error estimation techniques for elasticity problems
- Theory and practice of finite elements.
- Asymptotically exact a posteriori error analysis for the mixed Laplace eigenvalue problem
- A posteriori error estimation for planar linear elasticity by stress reconstruction
- Optimality of a standard adaptive finite element method
- Reduced symmetry elements in linear elasticity
- Robust Equilibrated Residual Error Estimator for Diffusion Problems: Conforming Elements
- Primer of Adaptive Finite Element Methods
- Parametric Raviart--Thomas Elements for Mixed Methods on Domains with Curved Surfaces
- Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations
- Theory of adaptive finite element methods: An introduction
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- Error Estimate Procedure in the Finite Element Method and Applications
- Data Oscillation and Convergence of Adaptive FEM
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Mixed Finite Element Methods and Applications
- First-order System Least Squares on Curved Boundaries: Higher-order Raviart--Thomas Elements
- Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations
- Equilibrated residual error estimator for edge elements
- First-Order System Least Squares on Curved Boundaries: Lowest-Order Raviart--Thomas Elements
- Three Matlab Implementations of the Lowest-order Raviart-Thomas Mfem with a Posteriori Error Control
- Approximations in elasticity based on the concept of function space
- Finite elements. Theory, fast solvers and applications in elasticity theory