Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations
We study an implicit finite-volume scheme for nonlinear, non-local aggregation-diffusion equations which exhibit a gradient-flow structure, recently introduced in [R. Bailo, J. A. Carrillo and J. Hu, Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equati...
Main Authors: | Bailo, R, Carrillo, JA, Murakawa, H, Schmidtchen, M |
---|---|
Format: | Journal article |
Language: | English |
Published: |
World Scientific Publishing
2020
|
Similar Items
-
Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure
by: Bailo, R, et al.
Published: (2020) -
Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation
by: Bailo, R, et al.
Published: (2023) -
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion
by: Carrillo de la Plata, J, et al.
Published: (2020) -
A finite-volume scheme for fractional diffusion on bounded domains
by: Bailo, R, et al.
Published: (2024) -
Bound-preserving finite-volume schemes for systems of continuity equations with saturation
by: Bailo, R, et al.
Published: (2023)