RT journal article
T1 An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
A1 Acosta Soba, Daniel
A1 Guillén González, Francisco
A1 Rodríguez Galván, José Rafael
A2 Matemáticas
K1 Discontinuous Galerkin
K1 Upwind scheme
K1 Diffuse interface
K1 Convection
K1 Degenerate mobility
AB The design of numerical approximations of the Cahn-Hilliard model preserving the maximum principle is a challenging problem, even more if considering additional transport terms. In this work, we present a new upwind discontinuous Galerkin scheme for the convective Cahn-Hilliard model with degenerate mobility which preserves the maximum principle and prevents non-physical spurious oscillations. Furthermore, we show some numerical experiments in agreement with the previous theoretical results. Finally, numerical comparisons with other schemes found in the literature are also carried out.
PB SPRINGER
SN 1572-9265
YR 2022
FD 2022-08
LK http://hdl.handle.net/10498/27311
UL http://hdl.handle.net/10498/27311
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026