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[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.
  • Classification : 35Q92, 65M60, 92-10
  • Format : Online Talk on Zoom
  • Author(s) :
    • Daniel Acosta-Soba (Universidad de Cádiz)
    • Francisco Guillén-González (Universidad de Sevilla)
    • J. Rafael Rodríguez-Galván (Universidad de Cádiz)