4 citations · 11 across the 5 of their papers we have counts for
9 papers
Bias in the representative volume element method: periodize the ensemble instead of its realizations
Nicolas Clozeau, Marc Josien, Felix Otto +1
We study the Representative Volume Element (RVE) method, which is a method to approximately infer the effective behavior of a stationary random medium. The latter…
suboptimal error estimates for homogenization of linear elasticity systems on perforated domains
Li Wang, Qiang Xu, Peihao Zhao
In the present work, we established almost-sharp error estimates for linear elasticity systems in periodically perforated domains. The first result was -error…
Quantitative estimates for homogenization of nonlinear elliptic operators in perforated domains
Li Wang, Qiang Xu, Peihao Zhao
This paper was devoted to study the quantitative homogenization problems for nonlinear elliptic operators in perforated domains. We obtained a sharp error estimate …
Convergence rates on periodic homogenization of p-Laplace type equations
Li Wang, Qiang Xu, Peihao Zhao
In this paper, we find some error estimates for periodic homogenization of p-Laplace type equations under the same structure assumption on homogenized equations. The main idea is t…
Quantitative Estimates on Periodic Homogenization of Nonlinear Elliptic Operators
Li Wang, Qiang Xu, Peihao Zhao
In this paper, we are interested in the periodic homogenization of quasilinear elliptic equations. We obtain error estimates for a domain, and $O(\…
Neumann Problems in Homogenization of General Elliptic Systems
Qiang Xu, Shulin Zhou
In this paper, we extend the nontangential maximal function estimate obtained by C. Kenig, F. Lin and Z. Shen in \cite{KFS1} to the nonhomogeneous elliptic operators with rapidly o…