The periodic unfolding method for perforated domains and Neumann sieve models
From MaRDI portal
Publication:2481498
DOI10.1016/j.matpur.2007.12.008zbMath1176.49020OpenAlexW2034574171MaRDI QIDQ2481498
Georges Griso, Doina Cioranescu, Daniel Onofrei, Alain Damlamian
Publication date: 10 April 2008
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2007.12.008
Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (35)
Transmission conditions for the Helmholtz-equation in perforated domains ⋮ Locally Periodic Unfolding Method and Two-Scale Convergence on Surfaces of Locally Periodic Microstructures ⋮ Asymptotic analysis for domains separated by a thin layer made of periodic vertical beams ⋮ Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface ⋮ Homogenization of the acoustic transmission on periodically perforated plates interacting with potential mean flow ⋮ Sound absorption by perforated walls along boundaries ⋮ The ``strange term in the periodic homogenization for multivalued Leray-Lions operators in perforated domains ⋮ Homogenization of a quasilinear problem with semilinear terms in a two-component domain ⋮ Asymptotic Expansions of Solutions to the Poisson Equation with Alternating Boundary Conditions on an Open Arc ⋮ Drug release kinetics from biodegradable polymers via partial differential equations models ⋮ Homogenization of Helmholtz equation in a periodic layer to study Faraday cage-like shielding effects ⋮ Asymptotics of a spectral-sieve problem ⋮ Homogenization of a semilinear elliptic problem in a thin composite domain with an imperfect interface ⋮ Operator estimates for the Neumann sieve problem ⋮ Homogenization theory of ion transportation in multicellular tissue ⋮ Effective Helmholtz problem in a domain with a Neumann sieve perforation ⋮ On boundary value problem with singular inhomogeneity concentrated on the boundary ⋮ Unfolding method for diffusion process in a rarefied binary structure ⋮ Unnamed Item ⋮ A model for enhanced and selective transport through biological membranes with alternating pores ⋮ Asymptotics for spectral problems with rapidly alternating boundary conditions on a strainer Winkler foundation ⋮ Modelling wave dispersion in fluid saturating periodic scaffolds ⋮ Homogenization of an alternating Robin-Neumann boundary condition via time-periodic unfolding ⋮ Homogenization of the acoustic transmission through a perforated layer ⋮ Thermal-based damage detection in porous materials ⋮ Homogenization of the vibro-acoustic transmission on perforated plates ⋮ Multiscale Finite Element Methods for Advection-Dominated Problems in Perforated Domains ⋮ A multiscale finite element method for Neumann problems in porous microstructures ⋮ Homogenization of oxygen transport in biological tissues ⋮ Newton’s Method for Convex Optimization ⋮ Homogenization for Alternating Boundary Conditions with Large Reaction Terms Concentrated in Small Regions ⋮ Homogenization of a quasilinear elliptic problem in domains with small holes ⋮ Homogenization of the vibro-acoustic transmission on periodically perforated elastic plates with arrays of resonators ⋮ Singular Limit for Reactive Diffusive Transport Through an Array of Thin Channels in case of Critical Diffusivity ⋮ Pointwise estimate for elliptic equations in periodic perforated domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The thick Neumann's sieve
- Asymptotic analysis of periodically-perforated nonlinear media.
- Periodic unfolding and homogenization
- Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains
- Periodic unfolding and Robin problems in perforated domains
- An adaptation of the multi-scale methods for the analysis of very thin reticulated structures
- Analyse limite d'équations variationnelles dans un domaine contenant une grille
- Problèmes d'écrans perforés pour l'équation de Laplace
- Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?
- Two-scale convergence for nonlinear Dirichlet problems in perforated domains
- ASYMPTOTICS OF A SPECTRAL PROBLEM ASSOCIATED WITH THE NEUMANN SIEVE
- THE NEUMANN SIEVE PROBLEM AND DIMENSIONAL REDUCTION: A MULTISCALE APPROACH
This page was built for publication: The periodic unfolding method for perforated domains and Neumann sieve models