[00849] Well-suited upwind DG scheme for a phase-field tumor model
Session Time & Room : 3C (Aug.23, 13:20-15:00) @G710
Type : Contributed Talk
Abstract : This talk is focused on the numerical analysis of a modified diffuse-interface tumor model with degenerate mobility. In particular, we develop a discontinuous Galerkin upwind scheme that conserves the mass, preserves the discrete maximum principle and satisfies an energy law both for the Cahn-Hilliard equation and for the phase-field tumor model. Moreover, we present several numerical experiments that enhance the qualitative behavior of the model and which are in accordance with the theoretical results.