5 papers
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…
A pluripotential theoretic framework for polynomial interpolation of vector-valued functions and differential forms
Ludovico Bruni Bruno, Federico Piazzon
We consider the problem of uniform interpolation of functions with values in a complex inner product space of finite dimension. This problem can be casted within a modified weighte…
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…
Unisolvent and minimal physical degrees of freedom for the second family of polynomial differential forms
Ludovico Bruni Bruno, Enrico Zampa
The principal aim of this work is to provide a family of unisolvent and minimal physical degrees of freedom, called weights, for Nédélec second family of finite elements. Such elem…