Abstract
AbstractThe 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.
Funder
Universidad de Cádiz
University of Tennessee at Chattanooga
Ministerio de Ciencia, Innovación y Universidades
Universidad de Cadiz
Publisher
Springer Science and Business Media LLC
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