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07/19/2023
Novel well-balanced continuous interior penalty stabilizations
In this work, in a monodimensional setting, the high order accuracy and ...
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12/22/2022
Fully well balanced entropy controlled DGSEM for shallow water flows: global flux quadrature and cell entropy correction
In this paper we propose a high order DGSEM formulation for balance laws...
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09/29/2022
Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes
In this work we propose a simple but effective high order polynomial cor...
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06/13/2022
Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping
In this work we study various continuous finite element discretization f...
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06/08/2022
High order entropy preserving ADER scheme
In this paper, we develop a fully discrete entropy preserving ADER-Disco...
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05/26/2022
Arbitrary High Order WENO Finite Volume Scheme with Flux Globalization for Moving Equilibria Preservation
In the context of preserving stationary states, e.g. lake at rest and mo...
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12/20/2021
Model order reduction strategies for weakly dispersive waves
We focus on the numerical modelling of water waves by means of depth ave...
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09/21/2021
Analytical travelling vortex solutions of hyperbolic equations for validating very high order schemes
Testing the order of accuracy of (very) high order methods for shallow w...
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09/17/2021
Hyperbolic balance laws: residual distribution, local and global fluxes
This paper describes a class of scheme named "residual distribution sche...
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09/17/2021
h- and r- adaptation on simplicial meshes using MMG tools
We review some recent work on the enhancement and application of both r-...
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08/31/2021
Extrapolated DIscontinuity Tracking for complex 2D shock interactions
A new shock-tracking technique that avoids re-meshing the computational ...
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03/30/2021