Research
Publications
Bruni Bruno, L., Erb, W., Polynomial interpolation of function averages on interval segments. Accepted for publication in SIAM Journal on Numerical Analysis. [preprint]
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 Whitney finite element spaces on simplices: the edge element case, 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., Felisetti, C., Zampa, E., Symmetric weights in finite element exterior calculus, (2023).
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., Elefante, G., Interpolation by integrals on balls, (2023). [preprint] [code]
Bruni Bruno, L., Erb, W., The Fekete problem in segmental polynomial interpolation, (2024). [preprint]
Bruni Bruno, L., Elefante, G., A least squares approach to Whitney forms, (2024). [preprint] [code]
Awards
INdAM Postdoctoral grant, 2023
Best student paper, ESCO conference 2022
See my research gate or google scholar.
Talks, seminars and lectures
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