A structure-preserving upwind DG scheme with convex splitting for the Cahn-Hilliard-Darcy tumor growth model that maintains mass conservation, pointwise bounds, and a discrete energy law.
Acosta-Soba, F
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A novel linear upwind DG method for local and nonlocal chemotaxis models with nonlinear diffusion, attraction/repulsion, logistic growth and damping that preserves positivity and prevents numerical blow-up.
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Structure-preserving upwind DG scheme for a Cahn-Hilliard-Darcy model of tumor growth
A structure-preserving upwind DG scheme with convex splitting for the Cahn-Hilliard-Darcy tumor growth model that maintains mass conservation, pointwise bounds, and a discrete energy law.
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On a linear DG approximation of chemotaxis models with damping gradient nonlinearities
A novel linear upwind DG method for local and nonlocal chemotaxis models with nonlinear diffusion, attraction/repulsion, logistic growth and damping that preserves positivity and prevents numerical blow-up.