Homogenization of a variational problem in three-dimension space

DOI10.1016/j.amc.2014.01.072zbMath1410.35011OpenAlexW2019540539MaRDI QIDQ1646107

Weiyu Liu, Cuiping Guo

Publication date: 22 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.072

zbMATH Keywords

homogenizationunfolding methodunfolding operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• Multiscale computation method for an advection-diffusion equation
• Multiscale analysis and numerical algorithm for the Schrödinger equations in heterogeneous media
• Homogenization of oscillating boundaries
• Two-scale finite element method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients.
• Periodic unfolding and homogenization
• A multiscale rectangular element method for elliptic problems with entirely small periodic coefficients
• Boundary homogenization and Neumann boundary value problem
• Junction of a periodic family of elastic rods with a 3d plate. I.
• Junction of a periodic family of elastic rods with a thin plate. II.
• Homogenization of a monotone problem in a domain with oscillating boundary
• The Periodic Unfolding Method in Homogenization
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