Convergence of a particle method for diffusive gradient flows in one dimension
File(s)gamma_convergence.pdf (568.88 KB)
Accepted version
Author(s)
Carrillo de la Plata, J
Patacchini, FS
Sternberg, P
Wolansky, G
Type
Journal Article
Abstract
We prove the convergence of a particle method for the approximation of diffusive
gradient flows in one dimension. This method relies on the discretisation of the energy via nonoverlapping
balls centred at the particles and preserves the gradient flow structure at the particle
level. The strategy of the proof is based on an abstract result for the convergence of curves of
maximal slope in metric spaces
gradient flows in one dimension. This method relies on the discretisation of the energy via nonoverlapping
balls centred at the particles and preserves the gradient flow structure at the particle
level. The strategy of the proof is based on an abstract result for the convergence of curves of
maximal slope in metric spaces
Date Issued
2016-11-01
Date Acceptance
2016-08-30
Citation
SIAM Journal on Mathematical Analysis, 2016, 48 (6), pp.3708-3741
ISSN
0036-1410
Publisher
Society for Industrial and Applied Mathematics
Start Page
3708
End Page
3741
Journal / Book Title
SIAM Journal on Mathematical Analysis
Volume
48
Issue
6
Copyright Statement
© 2016, Society for Industrial and Applied Mathematics
Sponsor
The Royal Society
Grant Number
WM120001
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
particle method
diffusion
gradient flow
discrete gradient flow
Gamma-convergence
GAMMA-CONVERGENCE
SWEEPING PROCESS
EQUATION
0101 Pure Mathematics
0102 Applied Mathematics
Applied Mathematics
Publication Status
Published