Homogenization of reticulated structures
From MaRDI portal
Publication:1294675
zbMath0929.35002MaRDI QIDQ1294675
Jeannine Saint Jean Paulin, Doina Cioranescu
Publication date: 4 July 1999
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
Singular perturbations in context of PDEs (35B25) Polar materials (74A35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Homogenization, determination of effective properties in solid mechanics (74Qxx)
Related Items
Asymptotic analysis of an \(L\)-shaped junction of two elastic beams, Periodic Rotating Waves of a Geodesic Curvature Flow on the Sphere, Locally Periodic Unfolding Method and Two-Scale Convergence on Surfaces of Locally Periodic Microstructures, A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions, Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure, Mathematical analysis and 2-scale convergence of a heterogeneous microscopic bidomain model, Homogenization and singular perturbation in porous media, Isogeometric shape optimization of periodic structures in three dimensions, Two-Stage Stochastic Optimization Meets Two-Scale Simulation, Homogenization of the time-dependent heat equation on planar one-dimensional periodic structures, Correctors for the Neumann problem in thin domains with locally periodic oscillatory structure, Homogenization of a boundary-value problem with a nonlinear boundary condition in a thick junction of type 3:2:1, Modeling the flash-heat experiment on porous domains, Shape optimization for composite materials in linear elasticity, On the non‐stationary non‐Newtonian flow through a thin porous medium, Some remarks on simplified double porosity model of immiscible incompressible two-phase flow, Homogenization of a quasilinear problem with semilinear terms in a two-component domain, Homogenization of non-symmetric jump processes, Homogenization of an eigenvalue problem through rough surfaces, Corrector estimates and numerical simulations of a system of diffusion-reaction-dissolution-precipitation model in a porous medium, Homogenization of a class of singular elliptic problems in two-component domains, Homogenization of a poroelasticity model for fiber‐reinforced hydrogels, Homogenization of the scalar boundary value problem in a thin periodically broken cylinder, Modeling large-deformation-induced microflow in soft biological tissues, Multiscale Analysis and Simulation of a Signaling Process With Surface Diffusion, Shape Optimization for Composite Materials and Scaffold Structures, Spectral Approach to Homogenization of Elliptic Operators in a Perforated Space, Homogenization of Kondaurov’s non-equilibrium two-phase flow in double porosity media, Locally periodic thin domains with varying period, A micro-mechanical model for statistically unidirectional and randomly distributed fibre-reinforced solids, ΓD‐convergence for a class of quasilinear elliptic equations in thin structures, Computational networks and systems – homogenization of variational problems on micro-architectured networks and devices, Corrector results for a parabolic problem with a memory effect, Homogenization of thin piezoelectric perforated shells, Homogenization of a boundary value problem with mixed type of boundary conditions in a thick junction, Homogenization of Biomechanical Models for Plant Tissues, Homogenization of the boundary value for the Neumann problem, Junction of elastic plates and beams, Multiscale asymptotic expansion and finite element methods for the mixed boundary value problems of second order elliptic equation in perforated domains, On the homogenization of some linear problems in domains weakly connected by a system of traps, Iterated two-scale asymptotic method and numerical algorithm for the elastic structures of composite materials, Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?, Homogenization and concentrated capacity for the heat equation with non-linear variational data in reticular almost disconnected structures and applications to visual transduction, Generalized Beams and Continua. Dynamics of Reticulated Structures, Homogenization in perforated domains with rapidly pulsing perforations, Two-scale FEM for homogenization problems, THE METHOD OF MULTI-SCALE ASYMPTOTIC EXPANSIONS AND ITS CORRESPONDING FINITE ELEMENT ALGORITHM FOR THE PROBLEM OF HEAT EXCHANGE IN COMPOSITE PLANE WALL, Nonlocal problems in perforated domains, Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics, Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary, Homogenization of an elliptic system under condensing perforation of the domain, Cell-to-Muscle homogenization. Application to a constitutive law for the myocardium, Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs, On a hierarchy of models for electrical conduction in biological tissues, Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients, On the Design of Optimal Iterative Methods for Solving Nonlinear Equations, Multiscale Analysis of Nutrient Uptake by Plant Roots with Sparse Distribution of Root Hairs: Nonstandard Scaling, Homogenization of an Eigenvalue Problem in a Two-Component Domain with Interfacial Jump, Homogenization of Highly Oscillating Boundaries with Strongly Contrasting Diffusivity, Asymptotic analysis of a semi-linear elliptic system in perforated domains: well-posedness and correctors for the homogenization limit, Upscaling the interplay between diffusion and polynomial drifts through a composite thin strip with periodic microstructure, Transmission conditions for the Helmholtz-equation in perforated domains, Multiscale modelling and analysis of signalling processes in tissues with non-periodic distribution of cells, Computational networks and systems -- homogenization of self-adjoint differential operators in variational form on periodic networks and micro-architectured systems, A note on iterations-based derivations of high-order homogenization correctors for multiscale semi-linear elliptic equations, Strong convergence of a linearization method for semi-linear elliptic equations with variable scaled production, Homogenization of quasilinear elliptic problems with nonlinear Robin conditions and \(L^1\) data, The periodic unfolding method for the heat equation in perforated domains, From a microscopic to a macroscopic model for Alzheimer disease: two-scale homogenization of the Smoluchowski equation in perforated domains, Asymptotic expansions of one-dimensional second-order Helmholtz equation with rapidly oscillating coefficient, Junction of a periodic family of elastic rods with a 3d plate. I., Homogenization of nonlocal partial differential equations related to stochastic differential equations with Lévy noise, Superconvergence analysis of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients, Homogenization of a quasilinear elliptic problem in a two-component domain with \(L^1\) data, Thin domains with non-smooth periodic oscillatory boundaries, An uncoupled limit model for a high-contrast problem in a thin multi-structure, Asymptotic behavior of \(3D\) unstable structures made of beams, A local error estimate of the method of multi-scale asymptotic expansions for elliptic problems with rapidly oscillatory coefficients, Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains, Homogenization of the discrete diffusive coagulation-fragmentation equations in perforated domains, Asymptotic partial decomposition of domain for spectral problems in rod structures, Bridging the gap between variational homogenization results and two-scale asymptotic averaging techniques on periodic network structures, Effective properties of two-dimensional dispersed composites. II: Revision of self-consistent methods, Convergence and stability analyses of hierarchic models of dissipative second order evolution equations, Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary, A finite element method for elliptic problems with rapidly oscillating coefficients, Spectral homogenization for a Robin-Neumann problem, Asymptotic behavior of eigenfrequencies of a thin elastic rod with non-uniform cross-Section, Averaging in cascade junctions with a ``wide transmission domain, Convergence theorems for solutions and energy functionals of boundary value problems in thick multilevel junctions of a new type with perturbed Neumann conditions on the boundary of thin rectangles, Homogenization of a boundary value problem in a thick cascade junction, Approximation of the two-dimensional Dirichlet problem by continuous and discrete problems on one-dimensional networks, Asymptotic approximation for the solution to a semi-linear elliptic problem in a thin aneurysm-type domain, Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace-Beltrami operator, Directional properties of fibre network materials evaluated by means of discrete homogenization, Rigorous homogenization of a Stokes-Nernst-Planck-Poisson system, Bounds for the effective coefficients of homogenized low-dimensional structures., Homogenization limit of a parabolic equation with nonlinear boundary conditions, Periodic homogenization for inner boundary conditions with equi-valued surfaces: the unfolding approach, Second-order energies on thin structures: Variational theory and non-local effects, Homogenization in Sobolev spaces with nonstandard growth: brief review of methods and applications, Asymptotic expansion of the solution of an elliptic boundary-value problem in a thin cascade domain, The \(p\)-Laplacian equation in thin domains: the unfolding approach, Homogenization problem in a domain with double oscillating boundary, A note on the existence of extension operators for Sobolev spaces on periodic domains, Convergence rates of solutions for elliptic reiterated homogenization problems, The behavior of a beam fixed on small sets of one of its extremities, Homogenization of a Ginzburg-Landau problem in a perforated domain with mixed boundary conditions, Linear elliptic equations in composite media with anisotropic fibres, Homogenization and dimension reduction of filtration combustion in heterogeneous thin layers, The Neumann problem in thin domains with very highly oscillatory boundaries, Limit models for thin heterogeneous structures with high contrast, Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains, A general homogenization result of spectral problem for linearized elasticity in perforated domains., Homogenization of optimal control problems on curvilinear networks with a periodic microstructure -- results on \(S\)-homogenization and \(\Gamma\)-convergence, Homogenization of a class of singular elliptic problems in perforated domains, Asymptotic solution of the theory of shell boundary value problem, Behavior of the \(p\)-Laplacian on thin domains, Numerical investigation of homogenized Stokes-Nernst-Planck-Poisson systems, Optimization of structural topology in the high-porosity regime, Effective acoustic properties of a meta-material consisting of small Helmholtz resonators, Global attractors for quasilinear parabolic equations on unbounded thin domains, On \(\Gamma \)-convergence of vector-valued mappings, Asymptotic analysis of a parabolic semilinear problem with nonlinear boundary multiphase interactions in a perforated domain, Homogenization and concentrated capacity in reticular almost disconnected structures, Semilinear parabolic problems in thin domains with a highly oscillatory boundary, Homogenization in a thin domain with an oscillatory boundary, Homogenization of the acoustic transmission through a perforated layer, The periodic unfolding method for a class of imperfect transmission problems, Structural optimization of thin elastic plates: the three-dimensional approach, Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity, Periodic unfolding and Robin problems in perforated domains, Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on \(L ^{\infty }(\Omega )\), Waves in a plane rectangular lattice of thin elastic waveguides, Asymptotic behavior of stable structures made of beams, On a pore-scale stationary diffusion equation: scaling effects and correctors for the homogenization limit, Homogenization of degenerate cross-diffusion systems, Asymptotic analysis and modeling of the jointing of a massive body with thin rods, Asymptotic analysis of the high frequencies for the Laplace operator in a thin t-like shaped structure, Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients, Asymptotic analysis, in a thin multidomain, of minimizing maps with values in \(S^2\), Homogenization of some degenerate pseudoparabolic variational inequalities, Limit analysis of periodic beams, Homogenization of diffusion problems with a nonlinear interfacial resistance, Thermomechanical properties of strut-lattices, Piezomaterials for bone regeneration design -- homogenization approach, Homogenization of helical beam-like structures: Application to single-walled carbon nanotubes, Asymptotic expansion of the solution of a linear parabolic boundary-value problem in a thin starlike joint, Hierarchical modeling of the heat equation in a heterogeneous plate, Homogenization of a reaction-diffusion equation with Robin interface conditions, Multiscale algorithm with high accuracy for the elastic equations in three-dimensional honeycomb structures, On the limit spectrum of a degenerate operator in the framework of periodic homogenization or singular perturbation problems, A classical approach for the \(p\)-Laplacian in oscillating thin domains, \(\Gamma\)-convergence of nonlinear functionals in thin reticulated structures, Multiscale nonlocal flow in a fractured porous medium, Nonlinear ``double porosity type model, On the junction of elastic plates and beams, Sensitivity strategies in modelling heterogeneous media undergoing finite deformation, Parabolic problems in highly oscillating thin domains
