Fast estimation of discretization error for FE problems solved by domain decomposition
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Publication:643901
DOI10.1016/j.cma.2010.07.002zbMath1225.74103arXiv1208.6385OpenAlexW1997749848MaRDI QIDQ643901
Augustin Parret-Fréaud, Frédéric Feyel, Christian Rey, Pierre Gosselet
Publication date: 2 November 2011
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.6385
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)
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Cites Work
- Unnamed Item
- Unnamed Item
- A new non-intrusive technique for the construction of admissible stress fields in model verification
- A non-intrusive method for the calculation of strict and efficient bounds of calculated outputs of interest in linear viscoelasticity problems
- Non-overlapping domain decomposition methods in structural mechanics
- New advances on a posteriori error on constitutive relation in f. e. analysis
- On the initial estimate of interface forces in FETI methods.
- Subdomain-based flux-free a posteriori error estimators
- FETI and Neumann-Neumann iterative substructuring methods: Connections and new results
- Balancing domain decomposition
- A domain decomposition method for quasi-incompressible formulations with discontinuous pressure field
- A constitutive relation error estimator based on traction-free recovery of the equilibrated stress
- Recovery of equilibrium on star patches using a partition of unity technique
- Error Estimate Procedure in the Finite Element Method and Applications
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Error Estimates for Adaptive Finite Element Computations
- A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems
- Validation of a posteriori error estimators by numerical approach
