Filomena Di Tommaso
University of Calabria
34 Papers
45 Citations
Filomena Di Tommaso is an academic researcher from University of Calabria. The author has contributed to research in topics: Interpolation & Polynomial. The author has an hindex of 6, co-authored 19 publications. Previous affiliations of Filomena Di Tommaso include National Research Council.
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Papers
Fast and accurate scattered Hermite interpolation by triangular Shepard operators
Francesco Dell’Accio,Francesco Dell’Accio,Filomena Di Tommaso,Filomena Di Tommaso,Otheman Nouisser,Benaissa Zerroudi +5 more
TL;DR: This paper introduces an improvement of the triangular Shepard method for interpolating functional and first order derivatives values at the scattered points and shows that the proposed method reaches at least cubic approximation order.
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Reconstruction of a function from Hermite–Birkhoff data
TL;DR: This paper split up the initial problem in subproblems having a unique polynomial solution and use multinode rational basis functions in order to obtain a global interpolant.
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A general class of enriched methods for the simplicial linear finite elements
TL;DR: In this article , the authors present a general strategy for enriching the standard simplicial linear finite element by non-polynomial functions and provide concrete examples of admissible enrichment functions and perform some numerical tests.
11
Rational Hermite interpolation on six-tuples and scattered data
Francesco Dell’Accio,Francesco Dell’Accio,Filomena Di Tommaso,Filomena Di Tommaso,Otheman Nouisser,Najoua Siar,Najoua Siar +6 more
TL;DR: An approximant is constructed, with cubic precision and quartic approximation order, which interpolates functional values and first order derivatives on a set of scattered data using a combination of six-point Shepard basis functions with rational interpolants based on six-tuples of nodes.
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Enrichment strategies for the simplicial linear finite elements
TL;DR: In this paper , the authors introduce a new class of finite elements by enriching the standard simplicial linear finite element in Rd with additional functions which are not necessarily polynomials.
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