Multiscale computational method for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains

DOI10.1016/j.apnum.2018.10.011zbMath1407.65182OpenAlexW2899107290WikidataQ128977364 ScholiaQ128977364MaRDI QIDQ1633328

Qiang Ma, Xiaohan Cheng, Zihao Yang, Hao Dong, Jun-Zhi Cui, Yu-Feng Nie

Publication date: 19 December 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.10.011

zbMATH Keywords

error estimateasymptotic homogenization methodperiodic porous materialsdiverse periodic configurationsSOTS numerical algorithm

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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A Mixed Wavelet-Learning Method of Predicting Macroscopic Effective Heat Transfer Conductivities of Braided Composite Materials ⋮ A multiscale asymptotic expansion for combustion system with composite materials ⋮ Second-order two-scale analysis for heating effect of periodical composite structure ⋮ Multiscale computational method for nonlinear heat transmission problem in periodic porous media

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