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math.NA2025
A convergent algorithm for mean curvature flow of surfaces with Dirichlet boundary conditions
Bárbara Solange Ivaniszyn, Pedro Morin, M. Sebastián Pauletti
We establish convergence results for a spatial semidiscretization of Mean Curvature Flow (MCF) for surfaces with fixed boundaries. Our analysis is based on Huisken's evolution equa…
math.NA2023
Error analysis for local coarsening in univariate spline spaces
Silvano Figueroa, Eduardo M. Garau, Pedro Morin
In this article we analyze the error produced by the removal of an arbitrary knot from a spline function. When a knot has multiplicity greater than one, this implies a reduction of…