activity
20182025
most citedHigh order ADER schemes for continuum mechanics

85 citations · 427 across the 18 of their papers we have counts for

collaborators

18 papers

math.NA2025

An arbitrary Lagrangian-Eulerian semi-implicit hybrid method for continuum mechanics with GLM cleaning

Saray Busto

This paper proposes a semi-implicit arbitrary Lagrangian-Eulerian (ALE) method for the solution of the unified Godunov-Peshkov-Romenski (GPR) model of continuum mechanics. To handl…

math.NA2024★ 2 cited

Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics

Saray Busto, Laura Río-Martín

We present a new hybrid semi-implicit finite volume / finite element numerical scheme for the solution of incompressible and weakly compressible media. From the continuum mechanics…

math.NA2024

An all Mach number semi-implicit hybrid Finite Volume/Virtual Element method for compressible viscous flows on Voronoi meshes

Walter Boscheri, Saray Busto, Michael Dumbser

We present a novel high order semi-implicit hybrid finite volume/virtual element numerical scheme for the solution of compressible flows on Voronoi tessellations. The method relies…

math.NA2023★ 15 cited

A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume/finite element scheme for the incompressible MHD equations

F. Fambri, E. Zampa, S. Busto +4

We present a new divergence-free and well-balanced hybrid FV/FE scheme for the incompressible viscous and resistive MHD equations on unstructured mixed-element meshes in 2 and 3 sp…

math.NA2023★ 1 cited

An implicit staggered hybrid finite volume/finite element solver for the incompressible Navier-Stokes equations

Alessia Lucca, Saray Busto, Michael Dumbser

We present a novel fully implicit hybrid finite volume/finite element method for incompressible flows. Following previous works on semi-implicit hybrid FV/FE schemes, the incompres…

math.NA2023★ 29 cited

Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations

Saray Busto, Eleuterio F. Toro, Maria Elena Vazquez-Cendon

We construct, analyse and assess various schemes of second order of accuracy in space and time for model advection-diffusion-reaction differential equations. The constructed scheme…