Convergence Rates in Periodic Homogenization of Systems of Elasticity
arXiv:1512.00823 · doi:10.1090/proc/13289
Abstract
This paper is concerned with homogenization of systems of linear elasticity with rapidly oscillating periodic coefficients. We establish sharp convergence rates in for the mixed boundary value problems with bounded measurable coefficients.
References in corpus (1)
Cited by in corpus (17)
- Quantitative homogenization in nonlinear elasticity for small loads
- Uniform boundary regularity in almost-periodic homogenization
- Convergence Rate of Multiscale Finite Element Method for Various Boundary Problems
- Approximate Correctors and Convergence Rates in Almost-Periodic Homogenization
- A First-order Two-scale Analysis for Contact Problems with Small Periodic Configurations
- Convergence Rates of Neumann problems for Stokes Systems
- Convergence Rates in Parabolic Homogenization with Time-Dependent Periodic Coefficients
- Convergence rates for general elliptic homogenization problems in a bounded Lipschitz domain
- Combined Effects of Homogenization and Singular Perturbations: Quantitative Estimates
- Homogenization of locally periodic parabolic operators with non-self-similar scales
- Quantitative Estimates in Reiterated Homogenization
- Convergence Rates in Almost-Periodic Homogenization of Higher-order Elliptic Systems
- suboptimal error estimates for homogenization of linear elasticity systems on perforated domains
- Convergence Rates and Interior Estimates in Homogenization of Higher Order Elliptic Systems
- Convergence rates and estimates in homogenization theory of Stokes systems in Lipschitz domains
- Convergence rates in homogenization of higher order parabolic systems
- An H-convergence-based implicit function theorem for homogenization of nonlinear non-smooth elliptic systems