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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.NA2025
Patch bubbles for advection-dominated steady and unsteady problems
Eberhard Bänsch, Pedro Morin, Itatí Zocola
A novel variant of the \emph{residual-free bubble} method (RFB) for advection dominated problems is presented. Since the usual RFB still suffers from oscillations and strong under/…