The Onsager principle and structure preserving numerical schemes
Numerical Analysis
2024-10-16 v2 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2406.12652,
title = {The Onsager principle and structure preserving numerical schemes},
author = {Huangxin Chen and Hailiang Liu and Xianmin Xu},
journal= {arXiv preprint arXiv:2406.12652},
year = {2024}
}