Author

W. Boscheri

2 papers indexed here

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Preprint Sep 2026

A structure-preserving staggered semi-implicit four-split finite volume scheme for continuum mechanics on unstructured meshes

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 common mathematical description for fluids and solids and incorporates transport, viscous effects, heat conduction, and elastic deformations...

M. Dumbser, W. Boscheri, M. Tavelli et al. · 2 citations

Preprint Aug 2026

Minimization-based polynomial corrections for high-order curved boundaries on fixed and moving domains: assessment on finite volume and discontinuous Galerkin schemes

In this work, we present two novel strategies to impose high-order boundary conditions on fixed and moving curved domains, approximated with piecewise affine triangulations. Achieving high-order accuracy on curved domains requires tackling both the PDE discretization error and the geometrical error simultaneously. Whil...

Mirco Ciallella, W. Boscheri · 0 citations