8 papers · 1 filter
Scattered Data Histopolation in Averaging Kernel Hilbert Spaces
Ludovico Bruni Bruno, Giacomo Cappellazzo, Wolfgang Erb +1
Kernel-based methods offer a powerful and flexible mathematical framework for addressing histopolation problems. In histopolation, the available input data does not consist of poin…
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…
On the conditioning of polynomial histopolation
Ludovico Bruni Bruno, Stefano Serra-Capizzano
Histopolation is the approximation procedure that associates a degree polynomial with a locally integrable function imposing tha…
Sampling, approximation, and interpolation of differential forms by admissible integral k-meshes
Ludovico Bruni Bruno, Federico Piazzon
In this work we introduce the concept of admissible integral -mesh for sampling differential forms with contiuous coefficients on a real body , and provide two te…
A least squares approach to Whitney forms
Ludovico Bruni Bruno, Giacomo Elefante
In this work we describe and test the construction of least squares Whitney forms based on weights. If, on the one hand, the relevance of such a family of differential forms is now…
Interpolation by integrals on balls
Ludovico Bruni Bruno, Giacomo Elefante
In this work we blend interpolation theory with numerical integration, constructing an interpolator based on integrals over -dimensional balls. We show that, under hypotheses on…