Adaptive grids as parametrized scale-free networks
数值分析
2025-10-20 v2 数值分析
数学物理
偏微分方程分析
math.MP
流体动力学
摘要
In this paper we present a possible model of adaptive grids for numerical resolution of differential problems, using physical or geometrical properties, as viscosity or velocity gradient of a moving fluid. The relation between the values of grid step and these entities is based on the mathematical scheme offered by the model of scale-free networks, due to Barabasi, so that the step can be connected to the other variables by a constitutive relation. Some examples and an application are discussed, showing that this approach can be further developed for treatment of more complex situations.
引用
@article{arxiv.cs/0502045,
title = {Adaptive grids as parametrized scale-free networks},
author = {Gianluca Argentini},
journal= {arXiv preprint arXiv:cs/0502045},
year = {2025}
}
备注
10 pages, 3 figures