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07/13/2023
A well-balanced discontinuous Galerkin method for the first–order Z4 formulation of the Einstein–Euler system
In this paper we develop a new well-balanced discontinuous Galerkin (DG)...
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06/20/2023
An implicit-explicit solver for a two-fluid single-temperature model
We present an implicit-explicit finite volume scheme for two-fluid singl...
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01/19/2023
On thermodynamically compatible finite volume schemes for continuum mechanics
In this paper we present a new family of semi-discrete and fully-discret...
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06/30/2022
Unified description of fluids and solids in Smoothed Particle Hydrodynamics
Smoothed Particle Hydrodynamics (SPH) methods are advantageous in simula...
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07/13/2021
A cell-centered implicit-explicit Lagrangian scheme for a unified model of nonlinear continuum mechanics on unstructured meshes
A cell-centered implicit-explicit updated Lagrangian finite volume schem...
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12/14/2020
Modeling solid-fluid transformations in non-Newtonian viscoplastic flows with a unified flow theory
We discuss the applicability of a unified hyperbolic model for continuum...
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03/05/2020
On numerical methods for hyperbolic PDE with curl involutions
In this paper we present three different numerical approaches to account...
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02/20/2020
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension
In this work, we introduce two novel reformulations of a recent weakly h...
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12/04/2019