[00852] Energy stable and positive DG scheme for Keller-Segel equations
Session Time & Room : 5B (Aug.25, 10:40-12:20) @E703
Type : Contributed Talk
Abstract : This work is focused on discretization of the Keller-Segel equations for chemotaxis, a challenging problem due to its convective nature. Specifically, we introduce a new upwind, mass-conservative, positive and energy-dissipative discontinuous Galerkin which is based on the gradient-flow structure of the equations. Also we present some numerical tests in accordance with the aforementioned properties of the discretization, showing a good behaviour in the case of chemotactic collapse, where very steep gradients appear
