A posteriori error estimation based on numerical realization of the variational multiscale method
DOI10.1016/j.cma.2008.02.015zbMath1197.65175OpenAlexW2004966596MaRDI QIDQ995322
Publication date: 13 September 2010
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.2008.02.015
numerical examplesa posteriori error estimatesPoisson equationelliptic problemsvariational multiscale methodadaptive finite element
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Cites Work
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- Adaptive variational multiscale methods based on a posteriori error estimation: energy norm estimates for elliptic problems
- The variational multiscale method -- a paradigm for computational mechanics
- A unified approach to a posteriori error estimation using element residual methods
- Adaptive computations of a posteriori finite element output bounds: a comparison of the hybrid-flux approach and the flux-free approach
- 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
- An optimal control approach to a posteriori error estimation in finite element methods
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- Error Estimate Procedure in the Finite Element Method and Applications
- An Adaptive Finite Element Method for Linear Elliptic Problems
- A‐posteriori error estimates for the finite element method
- Error Estimates for Adaptive Finite Element Computations
- Practical methods fora posteriori error estimation in engineering applications
- Recovering lower bounds of the error by postprocessing implicit residuala posteriorierror estimates
- Analysis of a subdomain‐based error estimator for finite element approximations of elliptic problems
- Fully Reliable Localized Error Control in the FEM
- Local problems on stars: A posteriori error estimators, convergence, and performance
- The generalized finite element method