Adaptive grids as parametrized scale-free networks
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2005
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| _version_ | 1866915559894941696 |
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| author | Argentini, Gianluca |
| author_facet | Argentini, Gianluca |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_cs_0502045 |
| institution | arXiv |
| publishDate | 2005 |
| record_format | arxiv |
| spellingShingle | Adaptive grids as parametrized scale-free networks Argentini, Gianluca Numerical Analysis Mathematical Physics Analysis of PDEs Fluid Dynamics G.1.8 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. |
| title | Adaptive grids as parametrized scale-free networks |
| topic | Numerical Analysis Mathematical Physics Analysis of PDEs Fluid Dynamics G.1.8 |
| url | https://arxiv.org/abs/cs/0502045 |