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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.14089 |
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| _version_ | 1866918249761865728 |
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| author | Demir, Taylan Koçyiğit, Atakan |
| author_facet | Demir, Taylan Koçyiğit, Atakan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14089 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Adaptive Wavelet-Galerkin Modelling of Heat Conduction in Heterogeneous Composite Materials Demir, Taylan Koçyiğit, Atakan Numerical Analysis 65M60, 65T60, 35K05, 80A20 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. |
| title | Adaptive Wavelet-Galerkin Modelling of Heat Conduction in Heterogeneous Composite Materials |
| topic | Numerical Analysis 65M60, 65T60, 35K05, 80A20 |
| url | https://arxiv.org/abs/2512.14089 |