A stochastic analysis of steady and transient heat conduction in random media using a homogenization approach

DOI10.1016/j.apm.2013.11.044zbMath1427.80010arXiv1809.01003OpenAlexW2094083723MaRDI QIDQ1630790

Zhi-Jie Xu

Publication date: 10 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01003

zbMATH Keywords

uncertaintyhomogenizationheat conductionrandom fieldstochastic

Mathematics Subject Classification ID

Related Items (2)

Analytical approximation and numerical studies of one-dimensional elliptic equation with random coefficients ⋮ Constructing reliable approximations of the probability density function to the random heat PDE via a finite difference scheme

Cites Work

• Unnamed Item
• Solving stochastic heat transfer problems
• Developments in stochastic structural mechanics
• Stochastic finite element modelling in linear transient heat transfer
• A new stochastic approach to transient heat conduction modeling with uncertainty.
• Stochastic finite element analysis of shells with combined random material and geometric properties.
• Homogenization and Upscaling for Diffusion, Heat Conduction, and Wave Propagation in Heterogeneous Materials
• Random field finite elements
• The stochastic finite-element method
• Homogenization for Periodic Heterogeneous Materials with Arbitrary Position-Dependent Material Properties

This page was built for publication: A stochastic analysis of steady and transient heat conduction in random media using a homogenization approach