Publications
Bruni Bruno, L., Dell'Accio, F., Erb, W., Nudo, F., Polynomial histopolation on mock-Chebyshev segments, Journal of Scientific Computing 105 (2025). [paper]
Bruni Bruno, L., Elefante, G., An algorithm for the estimation of the segmental Lebesgue constant, Journal of Computational and Applied Mathematics 471 (2025). [paper]
Bruni Bruno, L., Erb, W., The Fekete problem in segmental polynomial interpolation, BIT Numerical Mathematics 65 (2025). [paper]
Bruni Bruno, L., Piazzon, F., A pluripotential theoretic framework for polynomial interpolation of vector-valued functions and differential forms, Dolomites Research notes on Approximation 17 (2024). [paper]
Bruni Bruno, L., Erb, W., Polynomial interpolation of function averages on interval segments, SIAM Journal on Numerical Analysis 92 (2024). [paper]
Alonso Rodríguez, A., Bruni Bruno, L., Rapetti, F., Flexible weights for high order face based finite element interpolation, Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1, LNCSE 137 (2023). [paper]
Alonso Rodríguez, A., Bruni Bruno, L., Rapetti, F., Whitney edge elements and the Runge phenomenon, Journal of Computational and Applied Mathematics 427 (2023). [paper]
Bruni Bruno, L., Zampa, E., Unisolvent and minimal degrees of freedom for the second family of polynomial differential forms, ESAIM: Mathematical Modeling and Numerical Analysis 56 (2022). [paper]
Alonso Rodríguez, A., Bruni Bruno, L., Rapetti, F., Computing weights for high order Whitney edge elements, Dolomites research notes on approximation 15 (2022). [paper]
Alonso Rodríguez, A., Bruni Bruno, L., Rapetti, F., Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements, Calcolo 59 (2022). [paper]
Alonso Rodríguez, A., Bruni Bruno, L., Rapetti, F., Minimal sets of unisolvent weights for high order Whitney forms on simplices, Numerical Mathematics and Advanced Applications ENUMATH 2019, LNCSE 139 (2020). [paper]
Ph.D. thesis
Weights as degrees of freedom for high order Whitney finite elements. Supervisors: Ana Alonso Rodríguez (Univeristà di Trento), Francesca Rapetti (Université Côte d'Azur), (2022). [thesis] [dissertation slides]
Preprints
Bruni Bruno, L., Piazzon, F., Differential forms: Lagrange interpolation, sampling and approximation on polynomial admissible integral k-meshes, (2025). [preprint]
Bruni Bruno, L., Dell'Accio, F., Erb, W., Nudo, F., Bivariate polynomial histopolation techniques on Padua, Fekete and Leja triangles, (2025). [preprint]
Bruni Bruno, L., Elefante, G., A least squares approach to Whitney forms, (2024). [preprint] [code]
Bruni Bruno, L., Elefante, G., Polynomial reconstruction of integral data, (2024). [preprint (old)] [code]
Bruni Bruno, L., Semplice, M., Serra-Capizzano, S., The numerical linear algebra of weights: from the spectral analysis to conditioning and preconditioning in the Laplacian case, (2023). [preprint]
Bruni Bruno, L., Felisetti, C., Zampa, E., Symmetric weights in finite element exterior calculus, (2023).
Awards
INdAM Postdoctoral grant, 2023
Best student paper, ESCO conference 2022
See my researchgate, google scholar or scopus.
Talks, seminars and lectures
May 2025 - On a very large concept of Lagrange interpolation, Shanks conference Constructive Functions 25, Vanderbilt university.
May 2025 - A Whitney forms approach to Stokes' flow, INdAM workshop Fast methods in isogeometric analysis, Roma La Sapienza.
April 2025 - Lagrange interpolation of non-pointwise data, Politecnico di Torino.
February 2025 - Applications of Whitney forms to histopolation, M2A25.
September 2024 - Polynomial interpolation of averages on segments, NAMAS24.
September 2024 - Lagrange interpolation of differential forms, DWCAA 2024.
July 2024 - Least squares Whitney forms, GIMC SIMAI Young 2024. [slides]
January 2024 - Polynomial interpolation of function averages on interval segments and their Fekete problem, RITA Young Researchers meeting 2024. [slides]
January 2024 - Interpolation by weights: insights and challenges. Series of two seminars, Università di Roma Tor Vergata. [part 1] [part 2]
December 2023 - Polynomial interpolation of averages on segments, SToK2023, Università di Camerino. [slides]
September 2023 - Weights: a spectral analysis, DRWAA, San Vito di Cadore. [slides]
July 2023 - Weights: from interpolation to FEEC, SuprenumPDE 2023, EPFL. [slides]
May 2023 - Spectral analysis of weight-based finite element methods, 2ggALN, Gran Sasso Science Institute. [slides]
February 2023 - The role of symmetry in the computation of the generalised Lebesgue constant, SA 2023. [slides]
February 2023 - Weights as degrees of freedom for high order Whitney finite elements, Università dell'Insubria. [slides]
June 2022 - High-order Whitney edge elements and the Runge phenomenon, ESCO 2022. [slides]
April 2022 - Geometrical degrees of freedom for Whitney elements, NumLab, Università di Padova. [slides]
March 2022 - Geometrical degrees of freedom for Whitney elements, Doc in Progress. [slides]
February 2022 - Weights as degrees of freedom for high order Whitney forms, SA 2022. [slides]
July 2021 - Flexible high order reconstruction of fields, ICOSAHOM 2020. [slides]
December 2019 - Everything you always wanted to know about Whitney forms* (* but were afraid to ask), Doc in Progress. [slides]
October 2019 - A minimal set of unisolvent weights for high order Whitney forms, Enumath 2019. [slides]
July 2019 - Whitney forms for electromagnetism, Università di Trento
June 2019 - From toric varieties to Whitney forms, Università di Trento
Fall 2017 - Minicourse of three lectures on finite element exterior calculus, Emory University