# Publications

## Peer reviewed (18)

M. Dumbser, O. Zanotti, **E. Gaburro** and I. Peshkov.

A well-balanced discontinuous Galerkin method for the first–order Z4 formulation of the Einstein–Euler system.

*Journal of Computational Physics, 504, 112875, 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.

## Submitted (2)

** E. Gaburro**, S. Chiocchetti.

High order Well-Balanced Arbitrary-Lagrangian-Eulerian ADER discontinuous Galerkin schemes on general polygonal moving meshes.

*Submitted, 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.

*Submitted, 2024. *
Preprint available here.

## Dissemination articles written upon invitation (1)

** 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.

## Proceedings (3)

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.*

## In preparation ( ... coming soon ... )

** E. Gaburro**, B. Després, S. Del Pino, M. Dumbser.

**Angular momentum preserving schemes for compressible Euler equations.**

Preprint