Artículo
An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
Autor/es | Acosta Soba, Daniel
Guillén González, Francisco Manuel Rodríguez Galván, José Rafael |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2022-08-12 |
Fecha de depósito | 2023-04-19 |
Publicado en |
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Resumen | 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 ... 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. |
Cita | Acosta Soba, D., Guillén González, F.M. y Rodríguez Galván, J.R. (2022). An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model. Numerical Algorithms, 92, 1589-1619. https://doi.org/10.1007/s11075-022-01355-2. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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An unwind.pdf | 5.423Mb | [PDF] | Ver/ | |