121 citations · 551 across the 20 of their papers we have counts for
22 papers
A structure-preserving staggered semi-implicit four-split finite volume scheme for continuum mechanics on unstructured meshes
M. Dumbser, W. Boscheri, M. Tavelli +1
We present a new semi-implicit structure-preserving (SP) finite volume discretization for a unified first-order hyperbolic model of continuum mechanics. This framework provides a c…
A semi-implicit two dimensional solver for a covariant formulation of the shallow water equations
Maurizio Tavelli, Olindo Zanotti
In this paper we combine a flexible covariant formulation of the shallow water equations with the semi-implicit numerical scheme developed over the years by Casulli and collaborato…
SCOUT: Semi-Lagrangian COnservative and Unconditionally sTable schemes for nonlinear advection-diffusion problems
Silvia Preda, Walter Boscheri, Matteo Semplice +1
In this work, we propose a new semi-Lagrangian (SL) finite difference scheme for nonlinear advection-diffusion problems. To ensure conservation, which is fundamental for achieving…
A structure-preserving semi-implicit four-split scheme for continuum mechanics
Michael Dumbser, Andrea Thomann, Maurizio Tavelli +1
We introduce a novel structure-preserving vertex-staggered semi-implicit four-split discretization of a unified first order hyperbolic formulation of continuum mechanics that is ab…
A new class of efficient high order semi-Lagrangian IMEX discontinuous Galerkin methods on staggered unstructured meshes
M. Tavelli, W. Boscheri
In this paper we present a new high order semi-implicit DG scheme on two-dimensional staggered triangular meshes applied to different nonlinear systems of hyperbolic conservation l…
A high order accurate space-time trajectory reconstruction technique for quantitative particle trafficking analysis
Eloina Corradi, Maurizio Tavelli, Marie-Laure Baudet +1
The study of moving particles (e.g. molecules, virus, vesicles, organelles, or whole cells) is crucial to decipher a plethora of cellular mechanisms within physiological and pathol…