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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Strong enforcement of symmetry in H(div)-conforming finite elements yields material-robust stress approximations independent of the constitutive law, whereas weak enforcement produces arbitrarily poor results even in zero-stress cases with anisotropic laws.
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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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Achieving Material Robustness via Symmetric Stress Finite Element Discretizations
Strong enforcement of symmetry in H(div)-conforming finite elements yields material-robust stress approximations independent of the constitutive law, whereas weak enforcement produces arbitrarily poor results even in zero-stress cases with anisotropic laws.