activity
20192022
most citedHigh order ADER schemes for continuum mechanics

85 citations · 86 across the 3 of their papers we have counts for

collaborators

8 papers

math.NA20221 cited

Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes

Mirco Ciallella, Elena Gaburro, Marco Lorini +1

In this work we propose a simple but effective high order polynomial correction allowing to enhance the consistency of all kind of boundary conditions for the Euler equations (Diri…

gr-qc2021

A well balanced finite volume scheme for general relativity

Elena Gaburro, Manuel J. Castro, Michael Dumbser

In this work we present a novel second order accurate well balanced (WB) finite volume (FV) scheme for the solution of the general relativistic magnetohydrodynamics (GRMHD) equatio…

math.NA2020

A posteriori subcell finite volume limiter for general PNPM schemes: applications from gasdynamics to relativistic magnetohydrodynamics

Elena Gaburro, Michael Dumbser

In this work, we consider the general family of the so called ADER PNPM schemes for the numerical solution of hyperbolic partial differential equations with \textit{arbitrary} high…

math.HO2020

A simple but efficient concept of blended teaching of mathematics for engineering students during the COVID-19 pandemic

Saray Busto, Michael Dumbser, Elena Gaburro

We present a simple but efficient concept for the realization of blended teaching of mathematics and its applications in theoretical mechanics that was conceived, tested and implem…

math.NA2020

A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model

Friedemann Kemm, Elena Gaburro, Ferdinand Thein +1

In this paper we propose a new diffuse interface model for the numerical simulation of inviscid compressible flows around fixed and moving solid bodies of arbitrary shape. The soli…

physics.comp-ph201985 cited

High order ADER schemes for continuum mechanics

Saray Busto, Simone Chiocchetti, Michael Dumbser +2

In this paper we first review the development of high order ADER finite volume and ADER discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in 1999…