A residual-driven local iterative corrector scheme for the multiscale finite element method
type: Item
instance of: scholarly article
title: A residual-driven local iterative corrector scheme for the multiscale finite element method
zbMATH Open document ID: 1416.65460
author: Lam Nguyen
author: Dominik Schillinger
published in: Journal of Computational Physics
publication date: 2019-07-12T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 35J15
zbMATH DE Number: 7079837
zbMATH Keywords: multiscale finite element method
zbMATH Keywords: residual-driven correction
zbMATH Keywords: iterative corrector scheme
zbMATH Keywords: parallel computing
zbMATH Keywords: heterogeneous materials
describes a project that uses: CutFEM
describes a project that uses: HYPLAS
MaRDI profile type: Publication
full work available at URL: j.jcp.2018.10.030
OpenAlex ID: W2898253613
cites work: A multiscale predictor/corrector scheme for efficient elastoplastic voxel finite element analysis, with application to CT-based bone strength prediction
cites work: Multiple scale analysis of heterogeneous elastic structures using homogenization theory and Voronoi cell finite element method
cites work: Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials
cites work: Multiscale method for characterization of porous microstructures and their impact on macroscopic effective permeability
cites work: A semi-implicit discrete-continuum coupling method for porous media based on the effective stress principle at finite strain
cites work: Effective properties of composite materials with periodic microstructure: A computational approach
cites work: \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
cites work: An approach to micro-macro modeling of heterogeneous materials
cites work: Nonuniform transformation field analysis
cites work: Eigendeformation-based reduced order homogenization for failure analysis of heterogeneous materials
cites work: The reduced model multiscale method (R3M) for the nonlinear homogenization of hyperelastic media at finite strains
cites work: Mathematical homogenization of nonperiodic heterogeneous media subjected to large deformation transient loading
cites work: Homogenization and two‐scale simulations of granular materials for different microstructural constraints
cites work: Multiscale computational homogenization methods with a gradient enhanced scheme based on the discontinuous Galerkin formulation
cites work: Modeling of failure in composites by X-FEM and level sets within a multiscale framework
cites work: Multi-scale computational homogenization: trends and challenges
cites work: Multiscale Finite Element Methods
cites work: Can a finite element method perform arbitrarily badly?
cites work: A multiscale finite element method for elliptic problems in composite materials and porous media
cites work: The variational multiscale method -- a paradigm for computational mechanics
cites work: Large eddy simulation and the variational multiscale method
cites work: The discontinuous enrichment method
cites work: Multiscale enrichment based on partition of unity
cites work: Multiscale enrichment based on partition of unity for nonperiodic fields and nonlinear problems
cites work: A multiscale projection method for macro/microcrack simulations
cites work: A variational multiscale approach to strain localization -- formulation for multidimensional problems
cites work: Locality constraints within multiscale model for non-linear material behaviour
cites work: A variational multiscale method to model crack propagation at finite strains
cites work: Optimal local multi-scale basis functions for linear elliptic equations with rough coefficients
cites work: An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients
cites work: Generalized multiscale finite element methods (GMsFEM)
cites work: Residual-driven online generalized multiscale finite element methods
cites work: Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
cites work: Accurate multiscale finite element methods for two-phase flow simulations
cites work: Iterative multiscale finite-volume method
cites work: Oversampling for the Multiscale Finite Element Method
cites work: Multiscale finite-element method for linear elastic geomechanics
cites work: A locally conservative multiscale finite element method for multiphase flow simulation through heterogeneous and fractured porous media
cites work: A high-order multiscale finite-element method for time-domain acoustic-wave modeling
cites work: A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales
cites work: Reduced Basis Multiscale Finite Element Methods for Elliptic Problems
cites work: Randomized oversampling for generalized multiscale finite element methods
cites work: Convergence of a Nonconforming Multiscale Finite Element Method
cites work: An adaptive GMsFEM for high-contrast flow problems
cites work: Extended multiscale finite element method for mechanical analysis of heterogeneous materials
cites work: The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
cites work: CutFEM: Discretizing geometry and partial differential equations
cites work: An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
cites work: Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements
cites work: Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
cites work: Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
cites work: The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements
cites work: A stabilized Nitsche cut finite element method for the Oseen problem
cites work: Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
cites work: An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
cites work: Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
cites work: Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
cites work: Multiscale stabilization for convection-dominated diffusion in heterogeneous media

A residual-driven local iterative corrector scheme for the multiscale finite element method (cites work)
cites work: Q3566755

A residual-driven local iterative corrector scheme for the multiscale finite element method (Wikidata QID)
Wikidata QID: Q129032336

A residual-driven local iterative corrector scheme for the multiscale finite element method (DOI)
DOI: 10.1016/J.JCP.2018.10.030