Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials

DOI10.1016/j.apm.2020.11.028zbMath1481.35361OpenAlexW3108191892MaRDI QIDQ823322

N. E. Zubov

Publication date: 24 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.11.028

zbMATH Keywords

finite element simulationhierarchically perforated structureNeumann-type elliptic eigenvalue problemsecond-order two-scale and three-scale asymptotic computationssuccessive two-scale asymptotic analysis

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Stochastic higher-order three-scale strength prediction model for composite structures with micromechanical analysis ⋮ Conductivity gain predictions for multiscale fibrous composites with interfacial thermal barrier resistance ⋮ Multiscale asymptotic analysis and algorithm for the quadratic eigenvalue problem in composite materials ⋮ Second-order three-scale asymptotic analysis and algorithms for Steklov eigenvalue problems in composite domain with hierarchical cavities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogenization of the transmission eigenvalue problem for periodic media and application to the inverse problem
• Second-order asymptotic algorithm for heat conduction problems of periodic composite materials in curvilinear coordinates
• Homogenization of elliptic eigenvalue problems. I
• Reiterated homogenization of linear eigenvalue problems in multiscale perforated domains beyond the periodic setting
• Two-scale convergence of Stekloff eigenvalue problems in perforated domains
• Multiscale finite element algorithm of the eigenvalue problems for the elastic equations in composite materials
• Homogenization of elliptic eigenvalue problems. II
• Homogenization of eigenvalue problems in perforated domains
• A multiscale finite element method for elliptic problems in composite materials and porous media
• Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains
• Homogenization of a spectral problem in neutronic multigroup diffusion.
• Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates
• Multi-scale modal analysis for axisymmetric and spherical symmetric structures with periodic configurations
• A three-scale asymptotic analysis for ageing linear viscoelastic problems of composites with multiple configurations
• Homogenization of the eigenvalues of the Neumann-Poincaré operator
• Second-order asymptotic analysis and computations of axially and spherically symmetric piezoelectric problems for composite structures
• A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration
• Numerical methods for general and structured eigenvalue problems.
• Homogenization and localization for a 1D eigenvalue problem in a periodic medium with an interface
• Three-scale convergence for processes in heterogeneous media
• The heterogeneous multiscale method
• Eigenvalue homogenization for quasilinear elliptic equations with different boundary conditions
• High-frequency homogenization for periodic media
• Homogenization and Two-Scale Convergence
• Asymptotic computation for transient heat conduction performance of periodic porous materials in curvilinear coordinates by the second‐order two‐scale method
• Multiscale Asymptotic Analysis and Numerical Simulation for the Second Order Helmholtz Equations with Rapidly Oscillating Coefficients Over General Convex Domains
• Multiscale convergence and reiterated homogenisation
• Homogenization of eigenvalue problems for the laplace operator with nonlinear terms in domains in many tiny holes

This page was built for publication: Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials