Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures

DOI10.1016/j.amc.2016.11.023zbMath1411.74053OpenAlexW2558887067MaRDI QIDQ1735095

Hao Dong, Yatao Wu, Zihao Yang, Jun-Zhi Cui, Yu-Feng Nie

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.11.023

zbMATH Keywords

damped wave equationsNewmark schemequasi-periodic structuremultiscale asymptotic analysissecond-order two-scale numerical method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Singular perturbations in context of PDEs (35B25) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Almost and pseudo-almost periodic solutions to PDEs (35B15) Linear waves in solid mechanics (74J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

Homogenization of the wave equation with non-uniformly oscillating coefficients ⋮ Multi-scale computational method for nonlinear dynamic thermo-mechanical problems of composite materials with temperature-dependent properties ⋮ A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures ⋮ A Second-Order Two-Scale Algorithm for Thermo-Mechanical Coupling Problems in Quasi-Periodic Porous Materials ⋮ Multiscale numerical algorithms for elastic wave equations with rapidly oscillating coefficients ⋮ Diffraction grating with varying slit width: quasi-periodic homogenization and its numerical implementation

Cites Work

• A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients
• Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients
• Asymptotic analysis for a weakly damped wave equation with application to a problem arising in elasticity
• Multiscale asymptotic expansions methods and numerical algorithms for the wave equations in perforated domains
• Deterministic homogenization of weakly damped nonlinear hyperbolic-parabolic equations
• The second-order two-scale computation for integrated heat transfer problem with conduction, convection and radiation in periodic porous materials
• Multiscale asymptotic expansion and finite element methods for the mixed boundary value problems of second order elliptic equation in perforated domains
• Comparison of Four Multiscale Methods for EllipticProblems
• Multiscale Asymptotic Method for Maxwell's Equations in Composite Materials
• On the Homogenization of a Damped Wave Equation
• Multiscale Asymptotic Analysis and Numerical Simulation for the Second Order Helmholtz Equations with Rapidly Oscillating Coefficients Over General Convex Domains
• Multiscale Computation and Convergence for Coupled Thermoelastic System in Composite Materials
• Finite Elemente
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures