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math.NA2026
Structure-preserving upwind DG scheme for a Cahn-Hilliard-Darcy model of tumor growth
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván
In this work, we develop a structure-preserving numerical scheme for a Cahn-Hilliard-Darcy model that describes tumor growth in a fluid-saturated porous medium. First, we derive a…
math.NA2023★ 5 cited
A structure-preserving upwind DG scheme for a degenerate phase-field tumor model
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez Galván
In this work, we present a modification of the phase-field tumor growth model given in [26] that leads to bounded, more physically meaningful, volume fraction variables. In additio…