Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on \(L ^{\infty }(\Omega )\)
From MaRDI portal
Publication:989779
DOI10.1007/s11425-010-0078-7zbMath1196.35078OpenAlexW2023086784MaRDI QIDQ989779
Publication date: 23 August 2010
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-010-0078-7
homogenization solutionmulti-scale homogenization theorysecond order elliptic equations with small periodic coefficients
Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Theoretical approximation in context of PDEs (35A35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items
Existence theory for rosseland equation and its homogenized equation, Interior Hölder and gradient estimates for the homogenization of the linear elliptic equations, The hole-filling method and the multiscale computation for the wave equations in perforated domains, Convergence rates in \(L ^{2}\) for elliptic homogenization problems
Cites Work
- Unnamed Item
- A finite element method for elliptic problems with rapidly oscillating coefficients
- Non-homogeneous media and vibration theory
- Homogenization of reticulated structures
- Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains
- Two-scale analysis method for predicting heat transfer performance of composite materials with random grain distribution
- Numerical methods for multiscale elliptic problems
- Multiscale asymptotic expansion and finite element methods for the mixed boundary value problems of second order elliptic equation in perforated domains
- Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media
- Robust Globally Divergence-Free Weak Galerkin Methods for Stokes Equations
- Analysis of the heterogeneous multiscale method for elliptic homogenization problems
- On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
- Compactness methods in the theory of homogenization II: Equations in non-divergence form
- Smoothness Properties of Bounded Solutions of Dirichlet's Problem for Elliptic Equations in Regions with Corners on the Boundary
- Homogenization and Two-Scale Convergence
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- Numerical Homogenization of Well Singularities in the Flow Transport through Heterogeneous Porous Media
- A mixed multiscale finite element method for elliptic problems with oscillating coefficients
- Convergence of a Nonconforming Multiscale Finite Element Method
- A pointwise estimate on the 1-order approximation of G x0
