The Onsager principle and structure preserving numerical schemes
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914972312797184 |
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| author | Chen, Huangxin Liu, Hailiang Xu, Xianmin |
| author_facet | Chen, Huangxin Liu, Hailiang Xu, Xianmin |
| contents | We present a natural framework for constructing energy-stable time discretization schemes. By leveraging the Onsager principle, we demonstrate its efficacy in formulating partial differential equation models for diverse gradient flow systems. Furthermore, this principle provides a robust basis for developing numerical schemes that uphold crucial physical properties. Within this framework, several widely used schemes emerge naturally, showing its versatility and applicability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12652 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Onsager principle and structure preserving numerical schemes Chen, Huangxin Liu, Hailiang Xu, Xianmin Numerical Analysis 65M12, 65M22, 76M30 We present a natural framework for constructing energy-stable time discretization schemes. By leveraging the Onsager principle, we demonstrate its efficacy in formulating partial differential equation models for diverse gradient flow systems. Furthermore, this principle provides a robust basis for developing numerical schemes that uphold crucial physical properties. Within this framework, several widely used schemes emerge naturally, showing its versatility and applicability. |
| title | The Onsager principle and structure preserving numerical schemes |
| topic | Numerical Analysis 65M12, 65M22, 76M30 |
| url | https://arxiv.org/abs/2406.12652 |