Convergence rates in homogenization of the mixed boundary value problems
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Publication:2298238
DOI10.1155/2019/2680657zbMath1435.35039OpenAlexW2920176905MaRDI QIDQ2298238
Publication date: 20 February 2020
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/2680657
Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Boundary value problems for second-order elliptic systems (35J57)
Cites Work
- Unnamed Item
- On the spectrum of deformations of compact double-sided flat hypersurfaces
- Boundary estimates in elliptic homogenization
- Spectral boundary homogenization in domains with oscillating boundaries
- Boundary homogenization in domains with randomly oscillating boundary
- Uniform \(W^{1,p}\) estimates for systems of linear elasticity in a periodic medium
- Convergence rates in \(L ^{2}\) for elliptic homogenization problems
- \(W^{1,p}\) estimates for elliptic problems with Neumann boundary conditions in Lipschitz domains
- Asymptotics of a spectral-sieve problem
- Homogenization of elliptic problems with \(L^p\) boundary data
- Interior error estimate for periodic homogenization
- On the rate of convergence for perforated plates with a small interior Dirichlet zone
- Topics on concentration phenomena and problems with multiple scales
- On homogenization of problems in domains of the ``Infusorium type
- Quantitative
- Lipschitz Estimates in Almost-Periodic Homogenization
- Operator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domain
- Convergence rates in periodic homogenization of systems of elasticity
- On the rate of convergence of solutions in domain with periodic multilevel oscillating boundary
- Homogenization of Stokes Systems and Uniform Regularity Estimates
- Compactness methods in the theory of homogenization
- Compactness methods in the theory of homogenization II: Equations in non-divergence form
- Lp bounds on singular integrals in homogenization
- Asymptotic Approximation of the Solution of the Laplace Equation in a Domain with Highly Oscillating Boundary
- Error estimate and unfolding for periodic homogenization
- Homogenization of the boundary value for the Neumann problem
- Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions
- HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES
- Homogenization of elliptic systems with Neumann boundary conditions
- Optimal Boundary Estimates for Stokes Systems in Homogenization Theory
- Homogenization of the Neumann Problem for Elliptic Systems with Periodic Coefficients
- Periodic Homogenization of Green and Neumann Functions
- Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues
