The hole-filling method and multiscale algorithm for the heat transfer performance of periodic porous materials

DOI10.1016/j.cam.2016.08.017zbMath1358.80003OpenAlexW2511991067MaRDI QIDQ730587

Yi Sun, Zihao Yang, Zhiqiang Yang, Jun-Zhi Cui

Publication date: 28 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.08.017

zbMATH Keywords

finite element methodmultiscale analysiscorrectorhomogenized problemtransient heat transfer problemnumerical resolutionhole-filling methodperiodic porous materials

Mathematics Subject Classification ID

Related Items (3)

Multiscale computational method for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains ⋮ Filling holes under non-linear constraints ⋮ Fitting and filling of 3D datasets with volume constraints using radial basis functions under tension

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A method of two-scale thermo-mechanical analysis for porous solids with micro-scale heat transfer
• Multiscale finite element methods for high-contrast problems using local spectral basis functions
• The heterogeneous multiscale methods
• Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains.
• Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains
• Second order corrector in the homogenization of a conductive-radiative heat transfer problem
• The hole-filling method and the multiscale computation for the wave equations in perforated domains
• Multiscale asymptotic expansion and finite element methods for the mixed boundary value problems of second order elliptic equation in perforated domains
• A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions
• Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials
• The Second-Order Two-Scale Method for Heat Transfer Performances of Periodic Porous Materials with Interior Surface Radiation
• Homogenization of a Conductive and Radiative Heat Transfer Problem
• Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
• Second-Order Two-Scale Analysis Method for the Heat Conductive Problem with Radiation Boundary Condition in Periodical Porous Domain
• Thermo‐mechanical analysis of periodic multiphase materials by a multiscale asymptotic homogenization approach

This page was built for publication: The hole-filling method and multiscale algorithm for the heat transfer performance of periodic porous materials