Fast estimation of discretization error for FE problems solved by domain decomposition

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

zbMATH Keywords

verificationnon-overlapping domain decompositionBDDFETIerror in constitutive relation

Mathematics Subject Classification ID

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)

Related Items

A posteriori estimates for a natural Neumann-Neumann domain decomposition algorithm on a unilateral contact problem, Multiscale modal analysis of fully-loaded spent nuclear fuel canisters, Substructured formulations of nonlinear structure problems - influence of the interface condition, An Introductory Review on A Posteriori Error Estimation in Finite Element Computations, An enhanced method with local energy minimization for the robust a posteriori construction of equilibrated stress fields in finite element analyses, A strict error bound with separated contributions of the discretization and of the iterative solver in non-overlapping domain decomposition methods, A SBS-BD based solver for domain decomposition in BE methods, A non-invasive implementation of a mixed domain decomposition method for frictional contact problems, Strict bounding of quantities of interest in computations based on domain decomposition, Study of the strong prolongation equation for the construction of statically admissible stress fields: implementation and optimization, Residual error based adaptive mesh refinement with the non-intrusive patch algorithm

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