Adaptive Wavelet-Galerkin Modelling of Heat Conduction in Heterogeneous Composite Materials
Numerical Analysis
2025-12-17 v1 Numerical Analysis
Abstract
We present an adaptive wavelet Galerkin method for transient heat conduction in heterogeneous composite materials. The approach combines multiresolution wavelet bases with an implicit time discretization to efficiently resolve sharp temperature gradients near material interfaces and boundary layers. Adaptive refinement is driven by wavelet coefficients, significantly reducing the number of degrees of freedom compared to uniform discretizations. Numerical examples demonstrate accurate resolution of layered, inclusion-based, and functionally graded composites with improved computational efficiency.
Keywords
Cite
@article{arxiv.2512.14089,
title = {Adaptive Wavelet-Galerkin Modelling of Heat Conduction in Heterogeneous Composite Materials},
author = {Taylan Demir and Atakan Koçyiğit},
journal= {arXiv preprint arXiv:2512.14089},
year = {2025}
}
Comments
12 pages, 3 figures