Journal article icon

Journal article

Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure

Abstract:

We propose fully discrete, implicit-in-time finite volume schemes for general nonlinear nonlocal Fokker-Planck type equations with a gradient flow structure, usually referred to as aggregation-diffusion equations, in any dimension. The schemes enjoy the positivity-preserving and energy-decaying properties, essential for their practical use. The first order in time and space scheme unconditionally verifies these properties for general nonlinear diffusion and interaction potentials while the se...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
International Press
Journal:
Communications in Mathematical Sciences More from this journal
Volume:
18
Issue:
5
Pages:
1259-1303
Publication date:
2020-09-23
Acceptance date:
2020-02-13
DOI:
ISSN:
1539-6746
Language:
English
Keywords:
Pubs id:
1098167
Local pid:
pubs:1098167
Deposit date:
2020-08-11

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP