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FINITE VOLUME MAXIMUM PRINCIPLE FOR HYPERBOLIC SCALAR PROBLEMS

SIAM journal on numerical analysis, 2013-01, Vol.51 (1), p.467-490

CLAIN, STÉPHANE

2013

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Voltage Excitation in Coil Rings Using Magnetically Coupled Inductor/Load For Axisymmetric Geometry

IEEE transactions on power delivery, 2014-02, Vol.29 (1), p.118-125

2014

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Monoslope and multislope MUSCL methods for unstructured meshes

Journal of computational physics, 2010-05, Vol.229 (10), p.3745-3776

2010

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Improved detection criteria for the Multi-dimensional Optimal Order Detection (MOOD) on unstructured meshes with very high-order polynomials

Computers & fluids, 2012-07, Vol.64, p.43-63

2012

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A well-balanced scheme for the shallow-water equations with topography or Manning friction

Journal of computational physics, 2017-04, Vol.335, p.115-154

2017

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Structural schemes for one dimension stationary equations

Applied mathematics and computation, 2023-11, Vol.457, p.128207, Article 128207

2023

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A well-balanced scheme for the shallow-water equations with topography

Computers & mathematics with applications (1987), 2016-08, Vol.72 (3), p.568-593

2016

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Compact schemes in time with applications to partial differential equations

Computers & mathematics with applications (1987), 2023-06, Vol.140, p.107-125

2023

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Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids

Computer methods in applied mechanics and engineering, 2020-03, Vol.360, p.112782, Article 112782

2020

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A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction

Computers & fluids, 2021-11, Vol.230, p.105152, Article 105152

2021

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Smoothed particle hydrodynamics modeling of elevated structures impacted by tsunami-like waves

Engineering structures, 2022-11, Vol.270, p.114851, Article 114851

2022

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Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes

Computer methods in applied mechanics and engineering, 2023-10, Vol.415, p.116274, Article 116274

2023

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Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains

Journal of computational physics, 2021-11, Vol.445, p.110604, Article 110604

2021

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Very high-order accurate finite volume scheme for the steady-state incompressible Navier–Stokes equations with polygonal meshes on arbitrary curved boundaries

Computer methods in applied mechanics and engineering, 2022-06, Vol.396, p.115064, Article 115064

2022

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Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts

Computer methods in applied mechanics and engineering, 2019-12, Vol.357, p.112560, Article 112560

2019

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High‐order accurate conjugate heat transfer solutions with a finite volume method in anisotropic meshes with application in polymer processing

International journal for numerical methods in engineering, 2022-02, Vol.123 (4), p.1146-1185

2022

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Experimentally validated numerical models to assess tsunami hydrodynamic force on an elevated structure

Engineering structures, 2021-12, Vol.249, p.113280, Article 113280

2021

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A Posteriori Stabilized Sixth-Order Finite Volume Scheme with Adaptive Stencil Construction: Basics for the 1D Steady-State Hyperbolic Equations

Communications on Applied Mathematics and Computation (Online), 2023-06, Vol.5 (2), p.751-775

2023

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An a posteriori strategy for adaptive schemes in time for one-dimensional advection-diffusion transport equations

Computers & mathematics with applications (1987), 2021-12, Vol.103, p.65-81

2021

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Very High-Order Accurate Discontinuous Galerkin Method for Curved Boundaries with Polygonal Meshes

Journal of scientific computing, 2024-09, Vol.100 (3), p.66, Article 66

2024

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Very high order treatment of embedded curved boundaries in compressible flows: ADER discontinuous Galerkin with a space-time Reconstruction for Off-site data

Computers & mathematics with applications (1987), 2024-12, Vol.175, p.1-18

2024

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A sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshes

Journal of computational physics, 2017-11, Vol.349, p.501-527

2017

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Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection–diffusion equation with Dirichlet condition

Applied Mathematical Modelling, 2018-02, Vol.54, p.752-767

2018

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First- and second-order finite volume methods for the one-dimensional nonconservative Euler system

Journal of computational physics, 2009-12, Vol.228 (22), p.8214-8248

2009

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Very high‐order accurate finite volume scheme for the convection‐diffusion equation with general boundary conditions on arbitrary curved boundaries

International journal for numerical methods in engineering, 2019-01, Vol.117 (2), p.188-220

2019

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FINITE VOLUME MAXIMUM PRINCIPLE FOR HYPERBOLIC SCALAR PROBLEMS

Voltage Excitation in Coil Rings Using Magnetically Coupled Inductor/Load For Axisymmetric Geometry

Monoslope and multislope MUSCL methods for unstructured meshes

Improved detection criteria for the Multi-dimensional Optimal Order Detection (MOOD) on unstructured meshes with very high-order polynomials

A well-balanced scheme for the shallow-water equations with topography or Manning friction

Structural schemes for one dimension stationary equations

A well-balanced scheme for the shallow-water equations with topography

Compact schemes in time with applications to partial differential equations

Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids

A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction

Smoothed particle hydrodynamics modeling of elevated structures impacted by tsunami-like waves

Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes

Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains

Very high-order accurate finite volume scheme for the steady-state incompressible Navier–Stokes equations with polygonal meshes on arbitrary curved boundaries

Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts

High‐order accurate conjugate heat transfer solutions with a finite volume method in anisotropic meshes with application in polymer processing

Experimentally validated numerical models to assess tsunami hydrodynamic force on an elevated structure

A Posteriori Stabilized Sixth-Order Finite Volume Scheme with Adaptive Stencil Construction: Basics for the 1D Steady-State Hyperbolic Equations

An a posteriori strategy for adaptive schemes in time for one-dimensional advection-diffusion transport equations

Very High-Order Accurate Discontinuous Galerkin Method for Curved Boundaries with Polygonal Meshes

Very high order treatment of embedded curved boundaries in compressible flows: ADER discontinuous Galerkin with a space-time Reconstruction for Off-site data

A sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshes

Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection–diffusion equation with Dirichlet condition

First- and second-order finite volume methods for the one-dimensional nonconservative Euler system

Very high‐order accurate finite volume scheme for the convection‐diffusion equation with general boundary conditions on arbitrary curved boundaries

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