A residual-driven local iterative corrector scheme for the multiscale finite element method
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Publication:2002454
DOI10.1016/j.jcp.2018.10.030zbMath1416.65460OpenAlexW2898253613WikidataQ129032336 ScholiaQ129032336MaRDI QIDQ2002454
Dominik Schillinger, Lam H. Nguyen
Publication date: 12 July 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.10.030
heterogeneous materialsparallel computingmultiscale finite element methoditerative corrector schemeresidual-driven correction
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Parallel numerical computation (65Y05)
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Uses Software
Cites Work
- Optimal local multi-scale basis functions for linear elliptic equations with rough coefficients
- The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
- An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
- Generalized multiscale finite element methods (GMsFEM)
- Extended multiscale finite element method for mechanical analysis of heterogeneous materials
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
- Multiple scale analysis of heterogeneous elastic structures using homogenization theory and Voronoi cell finite element method
- Multiscale finite-element method for linear elastic geomechanics
- An adaptive GMsFEM for high-contrast flow problems
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- Modeling of failure in composites by X-FEM and level sets within a multiscale framework
- Accurate multiscale finite element methods for two-phase flow simulations
- The reduced model multiscale method (R3M) for the nonlinear homogenization of hyperelastic media at finite strains
- Iterative multiscale finite-volume method
- A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales
- Multi-scale computational homogenization: trends and challenges
- Multiscale enrichment based on partition of unity for nonperiodic fields and nonlinear problems
- Eigendeformation-based reduced order homogenization for failure analysis of heterogeneous materials
- The variational multiscale method -- a paradigm for computational mechanics
- A multiscale finite element method for elliptic problems in composite materials and porous media
- Nonuniform transformation field analysis
- \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
- A variational multiscale approach to strain localization -- formulation for multidimensional problems
- A high-order multiscale finite-element method for time-domain acoustic-wave modeling
- A locally conservative multiscale finite element method for multiphase flow simulation through heterogeneous and fractured porous media
- An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
- Effective properties of composite materials with periodic microstructure: A computational approach
- The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements
- Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials
- A stabilized Nitsche cut finite element method for the Oseen problem
- A multiscale predictor/corrector scheme for efficient elastoplastic voxel finite element analysis, with application to CT-based bone strength prediction
- Residual-driven online generalized multiscale finite element methods
- Multiscale stabilization for convection-dominated diffusion in heterogeneous media
- A semi-implicit discrete-continuum coupling method for porous media based on the effective stress principle at finite strain
- Multiscale computational homogenization methods with a gradient enhanced scheme based on the discontinuous Galerkin formulation
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Randomized Oversampling for Generalized Multiscale Finite Element Methods
- Multiscale method for characterization of porous microstructures and their impact on macroscopic effective permeability
- CutFEM: Discretizing geometry and partial differential equations
- Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements
- Homogenization and two‐scale simulations of granular materials for different microstructural constraints
- Multiscale Finite Element Methods
- Locality constraints within multiscale model for non-linear material behaviour
- A multiscale projection method for macro/microcrack simulations
- Mathematical homogenization of nonperiodic heterogeneous media subjected to large deformation transient loading
- A variational multiscale method to model crack propagation at finite strains
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- Can a finite element method perform arbitrarily badly?
- Convergence of a Nonconforming Multiscale Finite Element Method
- Reduced Basis Multiscale Finite Element Methods for Elliptic Problems
- Oversampling for the Multiscale Finite Element Method
- Multiscale enrichment based on partition of unity
- An approach to micro-macro modeling of heterogeneous materials
- Large eddy simulation and the variational multiscale method
- The discontinuous enrichment method
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