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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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10/28/2022
Second Order Finite Volume Scheme for Shallow Water Equations on Manifolds
In this work, we propose a second-order accurate scheme for shallow wate...
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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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09/02/2022
Well balanced finite volume schemes for shallow water equations on manifolds
In this paper we propose a novel second-order accurate well balanced sch...
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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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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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05/29/2022
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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08/06/2021
A well balanced finite volume scheme for general relativity
In this work we present a novel second order accurate well balanced (WB)...
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10/10/2020
A posteriori subcell finite volume limiter for general PNPM schemes: applications from gasdynamics to relativistic magnetohydrodynamics
In this work, we consider the general family of the so called ADER PNPM ...
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01/28/2020
A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model
In this paper we propose a new diffuse interface model for the numerical...
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12/04/2019
High order ADER schemes for continuum mechanics
In this paper we first review the development of high order ADER finite ...
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09/08/2019