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08/11/2022
An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous flow with surface tension
In this paper, we present a semi-implicit numerical solver for a first o...
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08/03/2022
High-order Arbitrary-Lagrangian-Eulerian schemes on crazy moving Voronoi meshes
Hyperbolic partial differential equations (PDEs) cover a wide range of i...
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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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03/05/2020
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure
We are concerned with the numerical solution of a unified first order hy...
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02/21/2020
A solver for stiff finite-rate relaxation in Baer-Nunziato two-phase flow models
In this paper we present a technique for constructing robust solvers for...
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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
