تقرير
Numerical Study of a Particle Method for Gradient Flows
| العنوان: | Numerical Study of a Particle Method for Gradient Flows |
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| المؤلفون: | Carrillo, J. A., Huang, Y., Patacchini, F. S., Wolansky, G. |
| سنة النشر: | 2015 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis |
| الوصف: | We study the numerical behaviour of a particle method for gradient flows involving linear and nonlinear diffusion. This method relies on the discretisation of the energy via non-overlapping balls centred at the particles. The resulting scheme preserves the gradient flow structure at the particle level, and enables us to obtain a gradient descent formulation after time discretisation. We give several simulations to illustrate the validity of this method, as well as a detailed study of one-dimensional aggregation-diffusion equations. Comment: 27 pages, 21 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3934/krm.2017025 |
| URL الوصول: | http://arxiv.org/abs/1512.03029 |
| رقم الأكسشن: | edsarx.1512.03029 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3934/krm.2017025 |
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