A posteriori error estimation and adaptivity in non-intrusive couplings between concurrent models
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Publication:2186860
DOI10.1016/j.cma.2020.113104zbMath1442.74239OpenAlexW3024741178MaRDI QIDQ2186860
Robin Bouclier, Ludovic Chamoin, Jean-Charles Passieux, Marie Tirvaudey
Publication date: 10 June 2020
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.2020.113104
modeling errora posteriori error estimationmodel adaptationnon-intrusive couplingconcurrent modelsgoal-oriented approaches
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
- Unnamed Item
- Non-intrusive coupling: recent advances and scalable nonlinear domain decomposition
- Multiscale modeling using goal-oriented adaptivity and numerical homogenization. I: Mathematical formulation and numerical results
- Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries
- A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties
- Verifying calculations -- forty years on. An overview of classical verification techniques for FEM simulations.
- An adaptive strategy for the control of modeling error in two-dimensional atomic-to-continuum coupling simulations
- Adaptive multiscale modeling of polymeric materials with Arlequin coupling and goals algorithms
- On two-scale adaptive FE analysis of micro-heterogeneous media with seamless scale-bridging
- A non-invasive implementation of a mixed domain decomposition method for frictional contact problems
- A bridging domain method for coupling continua with molecular dynamics
- Analysis and applications of a generalized finite element method with global-local enrichment functions
- A posteriori error analysis of the heterogeneous multiscale method for homogenization problems
- Non-overlapping domain decomposition methods in structural mechanics
- Non-intrusive and exact global/local techniques for structural problems with local plasticity
- Nonlinear localization strategies for domain decomposition methods: application to post-buckling analyses
- Adaptive variational multiscale methods based on a posteriori error estimation: energy norm estimates for elliptic problems
- Convergence of quasi-Newton matrices generated by the symmetric rank one update
- A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
- The variational multiscale method -- a paradigm for computational mechanics
- A multiscale finite element method for elliptic problems in composite materials and porous media
- The partition of unity finite element method: basic theory and applications
- A feed-back approach to error control in finite element methods: Application to linear elasticity
- Analysis and adaptive modeling of highly heterogeneous elastic structures
- Coupling of atomistic and continuum simulations using a bridging scale decomposition.
- A multilevel finite element method (FE\(^{2}\)) to describe the response of highly nonlinear structures using generalized continua.
- Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I: Error estimates and adaptive algorithms
- A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes
- Isogeometric mortar methods
- On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
- Estimation of modeling error in computational mechanics.
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- The mortar finite element method with Lagrange multipliers
- Hierarchical modeling of heterogeneous solids
- The design and analysis of the generalized finite element method
- \textit{A posteriori} error estimation and adaptive strategy for the control of MsFEM computations
- A Nitsche-based non-intrusive coupling strategy for global/local isogeometric structural analysis
- Development of a new, more regular, mortar method for the coupling of NURBS subdomains within a NURBS patch: application to a non-intrusive local enrichment of NURBS patches
- Residual error based adaptive mesh refinement with the non-intrusive patch algorithm
- Local enrichment of NURBS patches using a non-intrusive coupling strategy: geometric details, local refinement, inclusion, fracture
- Control of modeling errors in the coupling of linear transport and diffusion models
- Finite element approximation of multi-scale elliptic problems using patches of elements
- FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
- Analysis of a Chimera method
- Analysis of an Averaging Operator for Atomic-to-Continuum Coupling Methods by the Arlequin Approach
- Error estimation and model adaptation for a stochastic-deterministic coupling method based on the Arlequin framework
- Nonintrusive coupling of 3D and 2D laminated composite models based on finite element 3D recovery
- A fast weakly intrusive multiscale method in explicit dynamics
- Balancing domain decomposition
- An efficient zooming method for finite element analysis
- An optimal control approach to a posteriori error estimation in finite element methods
- Multiscale Finite Element Methods
- Basics and some applications of the mortar element method
- A local multigrid X-FEM strategy for 3-D crack propagation
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- A refined global‐local finite element analysis method
- Global-local analysis of large-scale composite structures using finite element methods
- A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities
- A finite element method for crack growth without remeshing
- Problèmes mécaniques multi-échelles: la méthode Arlequin
- The multigrid method in solid mechanics: Part I—Algorithm description and behaviour
- An Adaptive Multiscale Finite Element Method
- MultiScale Modeling of Physical Phenomena: Adaptive Control of Models
- Mastering Calculations in Linear and Nonlinear Mechanics
- A version of the Aitken accelerator for computer iteration
- The Arlequin method as a flexible engineering design tool
- Multiscale algorithm with patches of finite elements
- A method of substructuring large-scale computational micromechanical problems
- Estimation of local model error and goal-oriented adaptive modeling of heterogeneous materials. II: A computational environment for adaptive modeling of heterogeneous elastic solids
- Goal-oriented error estimation and adaptivity for the finite element method
