RT journal article
T1 An Unconditionally Energy Stable and Positive Upwind DG Scheme for the Keller–Segel Model
A1 Acosta Soba, Daniel
A1 Guillén González, Francisco
A1 Rodríguez Galván, José Rafael
A2 Matemáticas
K1 Keller–Segel equations     Chemotaxis     Discontinuous Galerkin     Upwind scheme     Positivity preserving     Energy stability
AB The well-suited discretization of the Keller–Segel equations for chemotaxis has become a very challenging problem due to the convective nature inherent to them. This paper aims to introduce a new upwind, mass-conservative, positive and energy-dissipative discontinuous Galerkin scheme for the Keller–Segel model. This approach is based on the gradient-flow structure of the equations. In addition, we show some numerical experiments in accordance with the aforementioned properties of the discretization. The numerical results obtained emphasize the really good behaviour of the approximation in the case of chemotactic collapse, where very steep gradients appear.
PB Springer
SN 1573-7691
YR 2023
FD 2023-09-09
LK http://hdl.handle.net/10498/30864
UL http://hdl.handle.net/10498/30864
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026