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The Lebesgue constant for uniform approximation of differential forms
Ludovico Bruni Bruno, Fwderico Piazzon
In this work we address the problem of uniform approximation of differential forms starting from weak data defined by integration on rectifiable sets. We study approximation scheme…
Computing the L1 optimal transport density: a FEM approach
Federico Piazzon, Enrico Facca, Mario Putti
The optimal transport density is the unique solution of the Monge-Kantorovich equations. It has been recently characterized also as the unique minimizer of t…
Computing optimal experimental designs on finite sets by log-determinant gradient flow
Federico Piazzon
Optimal experimental designs are probability measures with finite support enjoying an optimality property for the computation of least squares estimators. We present an algorithm f…
Pluripotential Numerics
Federico Piazzon
We introduce numerical methods for the approximation of the main (global) quantities in Pluripotential Theory as the \emph{extremal plurisubharmonic function} of a compact…
Caratheodory-Tchakaloff Subsampling
Federico Piazzon, Alvise Sommariva, Marco Vianello
We present a brief survey on the compression of discrete measures by Caratheodory-Tchakaloff Subsampling, its implementation by Linear or Quadratic Programming and the application…
Optimal Polynomial Admissible Meshes on Some Classes of Compact Subsets of
Federico Piazzon
We show that any compact subset of which is the closure of a bounded star-shaped Lipschitz domain , such that has positive reach in the sense of Federer,…