Variational multiscale a posteriori error estimation for systems. Application to linear elasticity
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Publication:1798559
DOI10.1016/j.cma.2014.11.009zbMath1423.74888OpenAlexW1968392586MaRDI QIDQ1798559
Diego Irisarri, Guillermo Hauke
Publication date: 23 October 2018
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.2014.11.009
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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
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- Realistic computable error bounds for three-dimensional finite element analyses in linear elasticity
- A variational multiscale a posteriori error estimation method for mixed form of nearly incompressible elasticity
- A posteriori error estimation of finite element approximations in fluid mechanics
- Application of variational a posteriori multiscale error estimation to higher-order elements
- Error-controlled adaptive goal-oriented modeling and finite element approximations in elasticity
- Adaptive variational multiscale methods based on a posteriori error estimation: energy norm estimates for elliptic problems
- A feedback finite element method with a posteriori error estimation. I: The finite element method and some basic properties of the a posteriori error estimator
- A posteriori error estimators in the finite element method
- A relationship between stabilized finite element methods and the Galerkin method with bubble functions
- Adaptive approaches and reliability estimations in finite element analysis
- The variational multiscale method -- a paradigm for computational mechanics
- \(b=\int g\)
- A simple subgrid scale stabilized method for the advection-diffusion-reaction equation
- Variational multiscale a posteriori error estimation for systems: the Euler and Navier-Stokes equations
- A posteriori error estimation of steady-state finite element solutions of the Navier-Stokes equations by a subdomain residual method
- Local error estimators for finite element linear analysis
- On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
- On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
- A posteriori error estimators for mixed finite element methods in linear elasticity
- A posteriori error estimation for standard finite element analysis
- Error estimators for advection-reaction-diffusion equations based on the solution of local problems
- The multiscale approach to error estimation and adaptivity
- Proper intrinsic scales for a posteriori multiscale error estimation
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Subdomain-based flux-free a posteriori error estimators
- Variational multiscale a posteriori error estimation for multi-dimensional transport problems
- Local error estimates of FEM for displacements and stresses in linear elasticity by solving local Neumann problems
- A posteriori error estimation of approximate boundary fluxes
- Partition of unity for localization in implicita posteriori finite element error control for linear elasticity
- Error Estimate Procedure in the Finite Element Method and Applications
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Analysis of Optimal Finite-Element Meshes in R 1
- A‐posteriori error estimates for the finite element method
- CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
- Accounting for stability: a posteriori error estimates based on residuals and variational analysis
- Analysis of a subdomain‐based error estimator for finite element approximations of elliptic problems
- Fully computable a posteriori error bounds for stabilised FEM approximations of convection–reaction–diffusion problems in three dimensions
- Generalized Green's Functions and the Effective Domain of Influence
- Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods
- MultiScale Modeling of Physical Phenomena: Adaptive Control of Models
- Intrinsic scales and a posteriori multiscale error estimation for piecewise-linear functions and residuals
- Goal-oriented error estimation and adaptivity for the finite element method
