Publications

E. Gaburro, W. Boscheri, S. Chiocchetti, M. Ricchiuto
Discontinuous Galerkin schemes for hyperbolic systems in non-conservative variables: quasi-conservative formulation with subcell finite volume corrections.
Computer Methods in Applied Mechanics and Engineering, 431, 117311, 2024. Preprint available here.

M. Ciallella, S. Clain, E. Gaburro, M. Ricchiuto
Very high order treatment of embedded curved boundaries in compressible flows: ADER discontinuous Galerkin with a space-time Reconstruction for Off-site data.
Computers and Mathematics with Applications, 175, pp. 1-18, 2024. Preprint available here.

M. Dumbser, O. Zanotti, E. Gaburro, I. Peshkov
A well-balanced Discontinuous Galerkin method for the first order Z4 formulation of the Einstein-Euler system.
Computers and Mathematics with Applications, 175, pp. 1-18, 2024. Preprint available here.

M.G. Carlino, E. Gaburro
Well balanced finite volume schemes for shallow water equations on manifolds.
Applied Mathematics and Computation, 441, 127676, 2023. Preprint available here.

M. Ciallella, E. Gaburro, M. Lorini, M. Ricchiuto
High-order shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes.
Applied Mathematics and Computation, 441, 127698, 2023. Preprint available here.

E. Gaburro, S. Chiocchetti
High-order Arbitrary-Lagrangian-Eulerian schemes on crazy moving Voronoi meshes.
Accepted for publication on Numerical aspects of hyperbolic balance laws and related problems, Sema Simai, Springer, 2022. Preprint available here.

E. Gaburro, P. Öffner, M. Ricchiuto, D. Torlo
High order entropy preserving ADER scheme.
Applied Mathematics and Computation, 440, 127644, 2023. Preprint available here.

W. Boscheri, M. Dumbser, E. Gaburro
Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes.
Communications in Computational Physics, 32(1) 259–298, 2022. Preprint available here.

E. Gaburro, M.J. Castro, M. Dumbser.
A well balanced finite volume scheme for general relativity.
SIAM Journal on Scientific Computing (SISC), 43(6) B1226–B1251, 2021. Preprint available here.

E. Gaburro, M. Dumbser.
A posteriori subcell finite volume limiter for general PNPM schemes: applications from hydrodynamics to relativistic magnetohydrodynamics.
Journal of Scientific Computing, 86, 37, 2021. Preprint available here.

S. Busto, M. Dumbser, E. Gaburro.
A simple but efficient concept of blended teaching of mathematics for engineering students during the COVID-19 pandemic.
Education Sciences, 11(2), 56, 2021. Preprint available here.

E. Gaburro.
A unified framework for the solution of hyperbolic PDE systems using high order direct Arbitrary-Lagrangian-Eulerian schemes on moving unstructured meshes with topology change.
Archives of Computational Methods in Engineering (ACME), 2020.
Preprint available here.

F. Kemm, E. Gaburro , F. Thein, M. Dumbser.
A simple diffuse interphase approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model.
Computer and Fluids, 104536,, 2020.
Preprint available here.

E. Gaburro, W. Boscheri, S. Chiocchetti, C. Klingenberg, V. Springel, M. Dumbser.
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes.
Journal of Computational Physics, vol. 407, 2020.
Preprint available here.

S. Busto, S. Chiocchetti, M. Dumbser, E. Gaburro, I. Peshkov.
High order ADER schemes for continuum mechanics.
Frontiers in Physics, vol. 8, 2020. Impact factor: 1.90.
Preprint available here.

M. Dumbser, F. Fambri, E. Gaburro, A. Reinarz.
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations.
Journal of Computational Physics, vol 404, 2020.
Preprint available here.

E. Gaburro, M.J. Castro, M. Dumbser.
A well balanced diffuse interface method for complex nonhydrostatic free surface flows.
Computers & Fluids, vol. 175, p. 180-198, 2018.
Preprint available here.

E. Gaburro, M.J. Castro, M. Dumbser.
Reprint of: Direct Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes.
Computers & Fluids, vol. 169, p. 263-284, 2018.
Preprint available here.

E. Gaburro, M.J. Castro, M. Dumbser.
Well balanced Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming meshes for the Euler equations of gasdynamics with gravity.
Monthly Notices of the Royal Astronomical Society, vol. 477(2), p. 2251-2275, 2018.
Preprint available here.

E. Gaburro, M. Dumbser, M.J. Castro.
Direct Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes.
Computers & Fluids, vol. 159, p. 254-275, 2017.
Preprint available here.

E. Gaburro, S. Chiocchetti, W. Boscheri.
High order schemes on crazy moving Voronoi meshes.
Dissemination article for the ECCOMAS 2020 newsletter.
The article appears in the 'Newsletter 2020 July', download it here.
Acknowledgement of acceptance. Acknowledgement of invitation.

M.G. Carlino, E. Gaburro
Second order finite volume scheme for shallow water equations on manifolds.
Accepted for pubblication on American Institute of Physics (AIP) Conference Proceedings, 2022. Preprint available here.

M. Bonazzoli, V. Dolean, E. Gaburro, F. Rapetti.
High order edge finite elements approximations for the time-harmonic Maxwell's equations.
2014 IEEE Conference on Antenna Measurements and Applications (CAMA), pp 1--4. Preprint available here.

M. Bonazzoli, E. Gaburro.
High order edge elements for Maxwell's equations: construction and properties.
2014 International CAE Conference.

E. Gaburro, B. Després, S. Del Pino, M. Dumbser.
Angular momentum preserving schemes for compressible Euler equations.
Preprint