The local microscale problem in the multiscale modeling of strongly heterogeneous media: Effects of boundary conditions and cell size
From MaRDI portal
Publication:876012
DOI10.1016/j.jcp.2006.07.034zbMath1158.74541OpenAlexW2124939526MaRDI QIDQ876012
Publication date: 16 April 2007
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2006.07.034
boundary conditionsheterogeneous mediacomposite materialsscale effectseffective coefficientsmultiscale modelingheterogeneous multiscale methods
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (38)
Numerical homogenization method for parabolic advection-diffusion multiscale problems with large compressible flows ⋮ A time dependent approach for removing the cell boundary error in elliptic homogenization problems ⋮ A posteriori error analysis of the heterogeneous multiscale method for homogenization problems ⋮ Numerical homogenization: survey, new results, and perspectives ⋮ Sequential Homogenization of Reactive Transport in Polydisperse Porous Media ⋮ Optimal Approximation of the First-Order Corrector in Multiscale Stochastic Elliptic PDE ⋮ A Nitsche hybrid multiscale method with non-matching grids ⋮ A data-driven approach for a macroscopic conductivity model utilizing finite element approximation ⋮ An isogeometric analysis for elliptic homogenization problems ⋮ Macroscopically consistent non-local modeling of heterogeneous media ⋮ On the approximation of electromagnetic fields by edge finite elements. II: A heterogeneous multiscale method for Maxwell's equations ⋮ The extended distributed microstructure model for gradient-driven transport: a two-scale model for bypassing effective parameters ⋮ On periodic boundary conditions and ergodicity in computational homogenization of heterogeneous materials with random microstructure ⋮ Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems ⋮ Superaccurate effective elastic moduli via postprocessing in computational homogenization ⋮ An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization ⋮ A new boundary condition for homogenization of high-contrast random heterogeneous materials ⋮ An optimal error estimate in stochastic homogenization of discrete elliptic equations ⋮ DeepBND: a machine learning approach to enhance multiscale solid mechanics ⋮ A short and versatile finite element multiscale code for homogenization problems ⋮ Efficient methods for the estimation of homogenized coefficients ⋮ THE METHOD OF MULTISCALE ASYMPTOTIC EXPANSIONS FOR THE PROBLEM OF HEAT EXCHANGE IN COMPOSITE PLANE WALL WITH STATIONARY RANDOM FIELDS ⋮ Filters for Improvement of Multiscale Data from Atomistic Simulations ⋮ A stochastic mixed finite element heterogeneous multiscale method for flow in porous media ⋮ The heterogeneous multiscale method to study particle size and partitioning effects in drug delivery ⋮ THE METHOD OF MULTI-SCALE ASYMPTOTIC EXPANSIONS AND ITS CORRESPONDING FINITE ELEMENT ALGORITHM FOR THE PROBLEM OF HEAT EXCHANGE IN COMPOSITE PLANE WALL ⋮ Modeling multiscale diffusion processes in random heterogeneous media ⋮ Prediction of effective properties for random heterogeneous materials with extrapolation ⋮ Computing homogenized coefficientsviamultiscale representation and hierarchical hybrid grids ⋮ Heterogeneous Multiscale Method for Maxwell's Equations ⋮ The heterogeneous multiscale finite element method for the homogenization of linear elastic solids and a comparison with the FE\(^2\) method ⋮ REDUCTION OF THE RESONANCE ERROR — PART 1: APPROXIMATION OF HOMOGENIZED COEFFICIENTS ⋮ Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems ⋮ A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus ⋮ The choice of representative volumes in the approximation of effective properties of random materials ⋮ Convergence and error analysis of FE-HMM/FE\(^2\) for energetically consistent micro-coupling conditions in linear elastic solids ⋮ A parabolic local problem with exponential decay of the resonance error for numerical homogenization ⋮ Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The heterogeneous multiscale methods
- Use of border regions for improved permeability upscaling
- Approximations of effective coefficients in stochastic homogenization
- Analysis of upscaling absolute permeability
- Scale effects on the elastic behavior of periodic and hierarchical two-dimensional composites
- Analysis of the heterogeneous multiscale method for elliptic homogenization problems
- Random heterogeneous materials. Microstructure and macroscopic properties
This page was built for publication: The local microscale problem in the multiscale modeling of strongly heterogeneous media: Effects of boundary conditions and cell size