Adaptive grids as parametrized scale-free networks
<|reference_start|>Adaptive grids as parametrized scale-free networks: 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.<|reference_end|>
@article{argentini2005adaptive,
    title={Adaptive grids as parametrized scale-free networks},
    author={Gianluca Argentini},
    journal={arXiv preprint arXiv:cs/0502045},
    year={2005},
    archivePrefix={arXiv},
    eprint={cs/0502045},
    primaryClass={cs.NA math-ph math.AP math.MP physics.flu-dyn}
}