A point-cloud discretization via GMLS local charts for high-order curvature and singular-integral approximation in the Hele-Shaw problem with surface tension, supported by consistency/stability analysis and numerical tests showing high-order spatial convergence.
Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis.Journal of mathematical biology, 86(1):19, 2023
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Geometric local parameterization for solving Hele-Shaw problems with surface tension
A point-cloud discretization via GMLS local charts for high-order curvature and singular-integral approximation in the Hele-Shaw problem with surface tension, supported by consistency/stability analysis and numerical tests showing high-order spatial convergence.