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.
Spectral methods for solving elliptic pdes on unknown manifolds.Journal of Computational Physics, 486:112132
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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.