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Staggered Schemes for Compressible Flow: A General Construction

SIAM journal on scientific computing, 2024-01, Vol.46 (1), p.A399-A428

Abgrall, Remi

2024

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Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization

Journal of computational physics, 2022-03, Vol.453, p.110955, Article 110955

2022

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A pressure‐based method for weakly compressible two‐phase flows under a Baer–Nunziato type model with generic equations of state and pressure and velocity disequilibrium

International journal for numerical methods in fluids, 2022-08, Vol.94 (8), p.1183-1232

2022

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A hybrid finite element–finite volume method for conservation laws

Applied mathematics and computation, 2023-06, Vol.447, p.127846, Article 127846

2023

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A comment on the computation of non-conservative products

Journal of computational physics, 2010-04, Vol.229 (8), p.2759-2763

2010

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High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics

Computers & mathematics with applications (1987), 2019-07, Vol.78 (2), p.274-297

2019

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A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics

Applied mathematics and computation, 2023-03, Vol.440, p.127629, Article 127629

2023

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High Order Asymptotic Preserving Deferred Correction Implicit-Explicit Schemes for Kinetic Models

SIAM journal on scientific computing, 2020-01, Vol.42 (3), p.B816-B845

2020

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A few words about Roland Glowinski

Journal of computational physics, 2024-05, Vol.505, p.112919, Article 112919

2024

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“A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics

Journal of computational physics, 2023-03, Vol.476, p.111898, Article 111898

2023

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A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model

Journal of computational physics, 2023-01, Vol.472, p.111693, Article 111693

2023

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An explicit primitive conservative solver for the Euler equations with arbitrary equation of state

Computers & fluids, 2024-07, Vol.279, p.106340, Article 106340

2024

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The Notion of Conservation for Residual Distribution Schemes (or Fluctuation Splitting Schemes), with Some Applications

Communications on Applied Mathematics and Computation (Online), 2020-09, Vol.2 (3), p.341-368

Abgrall, Rémi

2020

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High order residual distribution conservative finite difference HWENO scheme for steady state problems

Journal of computational physics, 2022-05, Vol.457, p.111045, Article 111045

2022

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A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids

Journal of computational physics, 2014-11, Vol.276, p.188-234

2014

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Novel Well-Balanced Continuous Interior Penalty Stabilizations

Journal of scientific computing, 2024-07, Vol.100 (1), p.14, Article 14

2024

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High-order CFD methods: current status and perspective

International journal for numerical methods in fluids, 2013-07, Vol.72 (8), p.811-845

2013

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Conservative scheme compatible with some other conservation laws: Conservation of the local angular momentum

Computers & fluids, 2022-10, Vol.247, p.105663, Article 105663

2022

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Spectral Analysis of Continuous FEM for Hyperbolic PDEs: Influence of Approximation, Stabilization, and Time-Stepping

Journal of scientific computing, 2021-11, Vol.89 (2), p.31, Article 31

2021

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Residual distribution schemes: Current status and future trends

Computers & fluids, 2006-08, Vol.35 (7), p.641-669

Abgrall, Rémi

2006

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Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics

SIAM journal on scientific computing, 2017-01, Vol.39 (5), p.A2317-A2344

2017

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Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics

SIAM journal on scientific computing, 2020-01, Vol.42 (1), p.A343-A370

2020

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Spectral Analysis of High Order Continuous FEM for Hyperbolic PDEs on Triangular Meshes: Influence of Approximation, Stabilization, and Time-Stepping

Journal of scientific computing, 2023-03, Vol.94 (3), p.49-49, Article 49

2023

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An Arbitrarily High Order and Asymptotic Preserving Kinetic Scheme in Compressible Fluid Dynamic

Communications on Applied Mathematics and Computation (Online), 2024-06, Vol.6 (2), p.963-991

2024

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Two-Layer Shallow Water System: A Relaxation Approach

SIAM journal on scientific computing, 2009-01, Vol.31 (3), p.1603-1627

2009

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Staggered Schemes for Compressible Flow: A General Construction

Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization

A pressure‐based method for weakly compressible two‐phase flows under a Baer–Nunziato type model with generic equations of state and pressure and velocity disequilibrium

A hybrid finite element–finite volume method for conservation laws

A comment on the computation of non-conservative products

High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics

A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics

High Order Asymptotic Preserving Deferred Correction Implicit-Explicit Schemes for Kinetic Models

A few words about Roland Glowinski

“A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics

A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model

An explicit primitive conservative solver for the Euler equations with arbitrary equation of state

The Notion of Conservation for Residual Distribution Schemes (or Fluctuation Splitting Schemes), with Some Applications

High order residual distribution conservative finite difference HWENO scheme for steady state problems

A discontinuous Galerkin discretization for solving the two-dimensional gas dynamics equations written under total Lagrangian formulation on general unstructured grids

Novel Well-Balanced Continuous Interior Penalty Stabilizations

High-order CFD methods: current status and perspective

Conservative scheme compatible with some other conservation laws: Conservation of the local angular momentum

Spectral Analysis of Continuous FEM for Hyperbolic PDEs: Influence of Approximation, Stabilization, and Time-Stepping

Residual distribution schemes: Current status and future trends

Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics

Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics

Spectral Analysis of High Order Continuous FEM for Hyperbolic PDEs on Triangular Meshes: Influence of Approximation, Stabilization, and Time-Stepping

An Arbitrarily High Order and Asymptotic Preserving Kinetic Scheme in Compressible Fluid Dynamic

Two-Layer Shallow Water System: A Relaxation Approach

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