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09/06/2023
Nonconforming Virtual Element basis functions for space-time Discontinuous Galerkin schemes on unstructured Voronoi meshes
We introduce a new class of Discontinuous Galerkin (DG) methods for solv...
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08/04/2023
Arbitrary-Lagrangian-Eulerian finite volume IMEX schemes for the incompressible Navier-Stokes equations on evolving Chimera meshes
In this article we design a finite volume semi-implicit IMEX scheme for ...
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06/28/2023
A well-balanced semi-implicit IMEX finite volume scheme for ideal Magnetohydrodynamics at all Mach numbers
We propose a second-order accurate semi-implicit and well-balanced finit...
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06/20/2023
A new thermodynamically compatible finite volume scheme for Lagrangian gas dynamics
The equations of Lagrangian gas dynamics fall into the larger class of o...
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04/15/2023
A new family of semi-implicit Finite Volume / Virtual Element methods for incompressible flows on unstructured meshes
We introduce a new family of high order accurate semi-implicit schemes f...
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12/15/2022
Efficient iterative arbitrary high order methods: an adaptive bridge between low and high order
We propose a new paradigm for designing efficient p-adaptive arbitrary h...
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09/01/2022
An all Froude high order IMEX scheme for the shallow water equations on unstructured Voronoi meshes
We propose a novel numerical method for the solution of the shallow wate...
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06/17/2022
Locally Structure-Preserving div-curl operators for high order Discontinuous Galerkin schemes
We propose a novel Structure-Preserving Discontinuous Galerkin (SPDG) op...
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05/29/2022
Continuous finite element subgrid basis functions for Discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes
We propose a new high order accurate nodal discontinuous Galerkin (DG) m...
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07/23/2021
High order modal Discontinuous Galerkin Implicit-Explicit Runge Kutta and Linear Multistep schemes for the Boltzmann model on general polygonal meshes
Deterministic solutions of the Boltzmann equation represent a real chall...
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07/14/2021
On the construction of conservative semi-Lagrangian IMEX advection schemes for multiscale time dependent PDEs
This article is devoted to the construction of a new class of semi-Lagra...
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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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06/14/2021
Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty
In this paper we introduce a space-dependent multiscale model to describ...
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04/05/2021
A cell-centered Lagrangian ADER-MOOD finite volume scheme on unstructured meshes for a class of hyper-elasticity models
In this paper we present a conservative cell-centered Lagrangian finite ...
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03/27/2021
High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes
In this work, we present a family of time and space high order finite vo...
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12/18/2020
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations
In this work we propose a novel space-dependent multiscale model for the...
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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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09/08/2020
Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design
Several important PDE systems, like magnetohydrodynamics and computation...
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08/04/2020
High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers
This article aims at developing a high order pressure-based solver for t...
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05/08/2020