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ADER discontinuous Galerkin schemes for general-relativistic ideal magnetohydrodynamics

Monthly notices of the Royal Astronomical Society, 2018-03

2018

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Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems

Computers & fluids, 2020-02, Vol.198, p.104399, Article 104399

2020

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A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics

Journal of computational physics, 2021-01, Vol.424, p.109866, Article 109866

2021

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Solving the relativistic magnetohydrodynamics equations with ADER discontinuous Galerkin methods, a posteriori subcell limiting and adaptive mesh refinement

Monthly notices of the Royal Astronomical Society, 2015-09, Vol.452 (3), p.3010-3029

2015

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A divergence‐free semi‐implicit finite volume scheme for ideal, viscous, and resistive magnetohydrodynamics

International journal for numerical methods in fluids, 2019-01, Vol.89 (1-2), p.16-42

2019

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ADER discontinuous Galerkin schemes for general-relativistic ideal magnetohydrodynamics

Monthly notices of the Royal Astronomical Society, Vol.477 (4), p.4543-4564

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An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes

Journal of computational physics, 2019-10, Vol.394, p.385-416

2019

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A new continuum model for general relativistic viscous heat-conducting media

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2020-05, Vol.378 (2170), p.20190175-20190175

2020

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A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies

Computers & fluids, 2020-11, Vol.212, p.104716, Article 104716

2020

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High-order ADER-WENO ALE schemes on unstructured triangular meshes-application of several node solvers to hydrodynamics and magnetohydrodynamics

International journal for numerical methods in fluids, 2014-12, Vol.76 (10), p.737-778

2014

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A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows

Journal of computational physics, 2020-11, Vol.421, p.109743, Article 109743

2020

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Numerical simulations of high Lundquist number relativistic magnetic reconnection

Monthly notices of the Royal Astronomical Society, 2011-12, Vol.418 (2), p.1004-1011

2011

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A unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2021-05, Vol.379 (2196), p.20200130

2021

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Submerged granular channel flows driven by gravity

Advances in water resources, 2014-01, Vol.63, p.1-10

2014

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Staggered discontinuous Galerkin methods for the incompressible Navier–Stokes equations: Spectral analysis and computational results

Numerical linear algebra with applications, 2018-10, Vol.25 (5), p.e2151:1-n/a

2018

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A semi-implicit scheme for 3D free surface flows with high-order velocity reconstruction on unstructured Voronoi meshes

International journal for numerical methods in fluids, 2013-06, Vol.72 (6), p.607-631

2013

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An Efficient Quadrature-Free Formulation for High Order Arbitrary-Lagrangian–Eulerian ADER-WENO Finite Volume Schemes on Unstructured Meshes

Journal of scientific computing, 2016-01, Vol.66 (1), p.240-274

2016

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An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements

Journal of computational physics, 2025-01, Vol.521, p.113551, Article 113551

2025

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An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density

Journal of scientific computing, 2022, Vol.90 (1), p.52, Article 52

2022

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A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers

Applied numerical mathematics, 2022-05, Vol.175, p.108-132

2022

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Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms

Journal of computational physics, 2012-08, Vol.231 (19), p.6472-6494

2012

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On the use of tabulated equations of state for multi-phase simulations in the homogeneous equilibrium limit

Shock waves, 2019-07, Vol.29 (5), p.769-793

2019

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Three-dimensional flow evolution after a dam break

Journal of fluid mechanics, 2010-11, Vol.663, p.456-477

2010

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A novel numerical method of high-order accuracy for flow in unsaturated porous media

International journal for numerical methods in engineering, 2012-01, Vol.89 (2), p.227-240

2012

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Complete Riemann Solvers for the Hyperbolic GPR Model of Continuum Mechanics

Izvestiâ Irkutskogo gosudarstvennogo universiteta. Seriâ "Matematika" (Online), 2021-01, Vol.35 (1), p.60-72

2021

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ADER discontinuous Galerkin schemes for general-relativistic ideal magnetohydrodynamics

Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems

A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics

Solving the relativistic magnetohydrodynamics equations with ADER discontinuous Galerkin methods, a posteriori subcell limiting and adaptive mesh refinement

A divergence‐free semi‐implicit finite volume scheme for ideal, viscous, and resistive magnetohydrodynamics

ADER discontinuous Galerkin schemes for general-relativistic ideal magnetohydrodynamics

An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes

A new continuum model for general relativistic viscous heat-conducting media

A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies

High-order ADER-WENO ALE schemes on unstructured triangular meshes-application of several node solvers to hydrodynamics and magnetohydrodynamics

A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows

Numerical simulations of high Lundquist number relativistic magnetic reconnection

A unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones

Submerged granular channel flows driven by gravity

Staggered discontinuous Galerkin methods for the incompressible Navier–Stokes equations: Spectral analysis and computational results

A semi-implicit scheme for 3D free surface flows with high-order velocity reconstruction on unstructured Voronoi meshes

An Efficient Quadrature-Free Formulation for High Order Arbitrary-Lagrangian–Eulerian ADER-WENO Finite Volume Schemes on Unstructured Meshes

An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements

An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density

A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers

Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms

On the use of tabulated equations of state for multi-phase simulations in the homogeneous equilibrium limit

Three-dimensional flow evolution after a dam break

A novel numerical method of high-order accuracy for flow in unsaturated porous media

Complete Riemann Solvers for the Hyperbolic GPR Model of Continuum Mechanics

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