Interior error estimate for periodic homogenization

From MaRDI portal
Publication:1764194

DOI10.1016/j.crma.2004.10.027zbMath1056.35017arXiv1109.1908OpenAlexW2568696705MaRDI QIDQ1764194

Georges Griso

Publication date: 24 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris, Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1908



Related Items

On homogenization for non-self-adjoint periodic elliptic operators on an infinite cylinder, Uniform regularity estimates in homogenization theory of elliptic systems with lower order terms on the Neumann boundary problem, Convergence rates in homogenization of Stokes systems, Asymptotic analysis of second-order boundary layer correctors, Unfolding-based corrector estimates for a reaction–diffusion system predicting concrete corrosion, Locally Periodic Unfolding Method and Two-Scale Convergence on Surfaces of Locally Periodic Microstructures, Uniform boundary regularity in almost-periodic homogenization, Homogenization of the elliptic Dirichlet problem: error estimates in the \((L_2\to H^1)\)-norm, Operator error estimates in \(L_2\) for homogenization of an elliptic Dirichlet problem, HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES, Convergence rates of Neumann problems for Stokes systems, Homogenization of the first initial boundary-value problem for parabolic systems: operator error estimates, Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast, Scattering by Finely Layered Obstacles: Frequency-Explicit Bounds and Homogenization, Convergence rates in periodic homogenization of systems of elasticity, Operator estimates for homogenization of the Robin Laplacian in a perforated domain, Resolvent estimates in homogenisation of periodic problems of fractional elasticity, Homogenization for Locally Periodic Elliptic Problems on a Domain, Homogenization of the Dirichlet problem for elliptic and parabolic systems with periodic coefficients, Asymptotic analysis of boundary-value problems for the Laplace operator with frequently alternating type of boundary conditions, On operator estimates in homogenization of nonlocal operators of convolution type, Operator estimates for the Neumann sieve problem, Homogenization for operators with arbitrary perturbations in coefficients, Sharp operator‐norm asymptotics for thin elastic plates with rapidly oscillating periodic properties, On homogenization of locally periodic elliptic and parabolic operators, Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients, Norm-resolvent convergence for elliptic operators in domain with perforation along curve, Convergence rates of solutions for elliptic reiterated homogenization problems, Homogenization of higher-order parabolic systems in a bounded domain, On the homogenization of a diffusion-deformation problem in strongly heterogeneous media, A refined convergence result in homogenization of second order parabolic systems, Homogenization of periodic parabolic systems in the $L_2(\mathbb {R}^d)$-norm with the corrector taken into account, On homogenization of the first initial-boundary value problem for periodic hyperbolic systems, Fibre homogenisation, Homogenization for locally periodic elliptic operators, Regularity of a transmission problem and periodic homogenization, Convergence rates in parabolic homogenization with time-dependent periodic coefficients, Corrector Estimates for a Thermodiffusion Model with Weak Thermal Coupling, Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model, Optimal Convergence Rates for Elliptic Homogenization Problems in Nondivergence-Form: Analysis and Numerical Illustrations, Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary, On operator error estimates for homogenization of hyperbolic systems with periodic coefficients, Numerical investigation of homogenized Stokes-Nernst-Planck-Poisson systems, On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary, Interior error estimate for periodic homogenization, Homogenization of a stationary periodic Maxwell system in a bounded domain in the case of constant magnetic permeability, Homogenization of the Neumann problem for higher order elliptic equations with periodic coefficients, Convergence rates in \(L ^{2}\) for elliptic homogenization problems, Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1({\mathbb{R}}^d)$, Derivation of plate equations by the unfolding method applied to the three-dimensional equations, Resolvent estimates for high-contrast elliptic problems with periodic coefficients, Third-order corrections in periodic homogenization for elliptic problem, Homogenization with corrector term for periodic elliptic differential operators, Homogenization of elliptic operators with periodic coefficients in dependence of the spectral parameter, Convergence rates in homogenization of the mixed boundary value problems, Elliptic operators in multidimensional cylinders with frequently alternating boundary conditions along a given curve, Two-parametric error estimates in homogenization of second-order elliptic systems in ℝd, Homogenization of initial boundary value problems for parabolic systems with periodic coefficients, Convergence Rates for General Elliptic Homogenization Problems in Lipschitz Domains, Homogenization of the stationary Maxwell system with periodic coefficients in a bounded domain, Periodic Homogenization of Green and Neumann Functions, Operator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domain, Homogenization of elliptic problems depending on a spectral parameter, Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures, Uniform regularity estimates in homogenization theory of elliptic system with lower order terms



Cites Work

OSZAR »