Journal article
A Lagrangian Scheme for the Solution of Nonlinear Diffusion Equations Using Moving Simplex Meshes
- Abstract:
-
A Lagrangian numerical scheme for solving nonlinear degenerate Fokker–Planck equations in space dimensions 𝑑≥2 is presented. It applies to a large class of nonlinear diffusion equations, whose dynamics are driven by internal energies and given external potentials, e.g. the porous medium equation and the fast diffusion equation. The key ingredient in our approach is the gradient flow structure of the dynamics. For discretization of the Lagrangian map, we use a finite subspace of linear maps in...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- Springer Nature Publisher's website
- Journal:
- Journal of Scientific Computing Journal website
- Volume:
- 75
- Issue:
- 3
- Pages:
- 1463-1499
- Publication date:
- 2017-11-07
- Acceptance date:
- 2017-10-27
- DOI:
- EISSN:
-
1573-7691
- ISSN:
-
0885-7474
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1098248
- Local pid:
- pubs:1098248
- Deposit date:
- 2020-04-07
Terms of use
- Copyright holder:
- Carrillo et al.
- Copyright date:
- 2017
- Rights statement:
- © The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License
- Licence:
- CC Attribution (CC BY)
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