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math.NA2026
Local power of approximation in hierarchical spline spaces on weakly admissible meshes
Gustavo A. Fernandez Lezcano, Eduardo M. Garau, Bárbara Ivaniszyn
We study local approximation properties in hierarchical spline spaces through a twofold approach. First, we design and analyze a robust adaptive refinement algorithm to construct l…
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…