Finite difference heterogeneous multi-scale method for homogenization problems.

From MaRDI portal
Publication:1413119

DOI10.1016/S0021-9991(03)00303-6zbMath1034.65067OpenAlexW2161740392MaRDI QIDQ1413119

Assyr Abdulle, E. Weinan

Publication date: 16 November 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00303-6



Related Items

Multiscale extended finite element method for deformable fractured porous media, A general strategy for designing seamless multiscale methods, Multiscale Methods for Wave Propagation in Heterogeneous Media Over Long Time, Multiscale numerical methods for passive advection-diffusion in incompressible turbulent flow fields, A multiscale cell boundary element method for elliptic problems, Three-scale convergence for processes in heterogeneous media, COUPLING HETEROGENEOUS MULTISCALE FEM WITH RUNGE–KUTTA METHODS FOR PARABOLIC HOMOGENIZATION PROBLEMS: A FULLY DISCRETE SPACETIME ANALYSIS, Randomized spectral and Fourier-wavelet methods for multidimensional Gaussian random vector fields, A multiscale algorithm for simulating spatially-extended Langmuir circulation dynamics, Optimal spatiotemporal reduced order modeling. I: Proposed framework, FE heterogeneous multiscale method for long-time wave propagation, The extended distributed microstructure model for gradient-driven transport: a two-scale model for bypassing effective parameters, A uniform multiscale method for 2D static and dynamic analyses of heterogeneous materials, Superaccurate effective elastic moduli via postprocessing in computational homogenization, A multiscale \(hp\)-FEM for 2D photonic crystal bands, Monotone meshfree methods for linear elliptic equations in non-divergence form via nonlocal relaxation, Dual-grid mapping method for the advection-diffusion-reaction equation in a heterogeneous medium, Adaptive multiscale extended finite element method (MS-XFEM) for the simulation of multiple fractures propagation in geological formations, Numerical Homogenization Methods for Parabolic Monotone Problems, On the heterogeneous multiscale method with various macroscopic solvers, New scheme of finite difference heterogeneous multiscale method to solve saturated flow in porous media, Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems, Multiscale Finite Element Modeling of Nonlinear Magnetoquasistatic Problems using Magnetic Induction Conforming Formulations, Multiscale method based on discontinuous Galerkin methods for homogenization problems, Semi-discrete finite difference multiscale scheme for a concrete corrosion model: a priori estimates and convergence, Patch dynamics with buffers for homogenization problems, The heterogeneous multiscale method to study particle size and partitioning effects in drug delivery, A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift, Multiscale nonconforming finite element computation to small periodic composite materials of elastic structures on anisotropic meshes, A Priori Error Analysis of the Finite Element Heterogeneous Multiscale Method for the Wave Equation over Long Time, A LOCAL CONSERVATIVE MULTISCALE METHOD FOR ELLIPTIC PROBLEMS WITH OSCILLATING COEFFICIENTS, Finite element heterogeneous multiscale method for elastic waves in heterogeneous media, Three scale unfolding homogenization method applied to cardiac bidomain model, ANALYSIS OF A HETEROGENEOUS MULTISCALE FEM FOR PROBLEMS IN ELASTICITY, The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains, A framework for optimal microstructural design of random heterogeneous materials, Analysis of the heterogeneous multiscale method for parabolic homogenization problems, Analysis of Control Volume Heterogeneous Multiscale Methods for Single Phase Flow in Porous Media, Analysis of Heterogeneous Multiscale Methods for Long Time Wave Propagation Problems, Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects, A posteriori error estimates in quantities of interest for the finite element heterogeneous multiscale method, Homogenization of the Poisson--Nernst--Planck equations for Ion Transport in Charged Porous Media


Uses Software


Cites Work