Multiscale asymptotic expansions methods and numerical algorithms for the wave equations in perforated domains
type: Item
instance of: scholarly article
title: Multiscale asymptotic expansions methods and numerical algorithms for the wave equations in perforated domains
zbMATH Open document ID: 1410.35010
author: Qiao-Li Dong
author: Liqun Cao
published in: Applied Mathematics and Computation
publication date: 2018-06-22T00:00:00Z
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 65N25
zbMATH DE Number: 6893678
zbMATH Keywords: homogenization
zbMATH Keywords: multiscale asymptotic expansion
zbMATH Keywords: wave equation
zbMATH Keywords: finite element method
zbMATH Keywords: symplectic geometric scheme
zbMATH Keywords: perforated domain
MaRDI profile type: Publication
full work available at URL: j.amc.2013.12.112
OpenAlex ID: W2065047377
cites work: Finite Element Heterogeneous Multiscale Method for the Wave Equation
cites work: Q4197852
cites work: Correctors for the homogenization of the wave and heat equations
cites work: Multiscale Asymptotic Analysis and Numerical Simulation for the Second Order Helmholtz Equations with Rapidly Oscillating Coefficients Over General Convex Domains
cites work: Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains
cites work: Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains
cites work: Q3836478
cites work: Q4007940
cites work: Approximate Boundary Controllability for the Wave Equation in Perforated Domains
cites work: Homogenization and correctors for the wave equation in non periodic perforated domains
cites work: Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients
cites work: A multiscale finite element method for elliptic problems in composite materials and porous media
cites work: Q4308736
cites work: Q5634306
cites work: Q4004193
cites work: Non-homogeneous media and vibration theory
cites work: Homogenization of eigenvalue problems in perforated domains
cites work: Q3618393
cites work: Numerical methods for multiscale transport equations and application to two-phase porous media flow
DOI: 10.1016/J.AMC.2013.12.112
description: scientific article; zbMATH DE number 6893678