@misc{10498/27311,
year = {2022},
month = {8},
url = {http://hdl.handle.net/10498/27311},
abstract = {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.},
publisher = {SPRINGER},
keywords = {Discontinuous Galerkin},
keywords = {Upwind scheme},
keywords = {Diffuse interface},
keywords = {Convection},
keywords = {Degenerate mobility},
title = {An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model},
doi = {10.1007/s11075-022-01355-2},
author = {Acosta Soba, Daniel and Guillén González, Francisco and Rodríguez Galván, José Rafael},
}