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Application of a modified parareal method for speeding up the numerical resolution of the 2D shallow water equations

Joao Guilherme Caldas Steinstraesser , Vincent Guinot , Antoine Rousseau
Simhydro 2021 - 6th International Conference Models for complex and global water issues - Practices and expectations., Jun 2021, Sophia Antipolis, France
Conference papers hal-03224056v1
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Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms

Arnaud Duran , Fabien Marche
Computers and Fluids, 2014, 101, pp.88-104. ⟨10.1016/j.compfluid.2014.05.031⟩
Journal articles hal-00998024v1
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Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes

Jerome Bonelle , Daniele Di Pietro , Alexandre Ern
Computer Aided Geometric Design, 2015, 35-36, pp.27-41. ⟨10.1016/j.cagd.2015.03.015⟩
Journal articles hal-01097311v1
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A Hybrid High-Order method for passive transport in fractured porous media

Florent Chave , Daniele Di Pietro , Luca Formaggia
GEM - International Journal on Geomathematics, 2019, 10 (1), ⟨10.1007/s13137-019-0114-x⟩
Journal articles hal-01784181v3
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Discontinuous Skeletal Gradient Discretisation Methods on polytopal meshes

Daniele Di Pietro , Jérôme Droniou , Gianmarco Manzini
Journal of Computational Physics, 2018, 355, pp.397-425. ⟨10.1016/j.jcp.2017.11.018⟩
Journal articles hal-01564598v3

Bipotential method for the contact law and steepest gradient method with optimal step size

Serge Dumont , Jérôme Fortin , Hamza Haddad
Tenth International Conference on Computational Structures Technology, Sep 2010, Valencia, Spain
Conference papers hal-01818019v1

Numerical Modeling of Granular Material using DEM

Serge Dumont , Mohamed Guessasma , Jérôme Fortin , Abdelkarim Aît-Mokhtar
International Conference on Numerical Computations in Geotechnical Engineering, Oct 2008, Skikda, Algeria
Conference papers hal-01818075v1
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A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes

Daniele Antonio Di Pietro , Jérôme Droniou
Mathematics of Computation, 2016, 86 (307), pp.2159-2191. ⟨10.1090/mcom/3180⟩
Journal articles hal-01183484v3
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Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity

Michele Botti , Rita Riedlbeck
Computational Methods in Applied Mathematics, 2018, ⟨10.1515/cmam-2018-0012⟩
Journal articles hal-01618593v1
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Error estimates for the convergence of a finite volume discretization of convection-diffusion equations

Jerome Droniou
Journal of Numerical Mathematics, 2003, 11 (1), pp.1-32. ⟨10.1515/156939503322004873⟩
Journal articles hal-00018749v1
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Finite volume schemes for fully non-linear elliptic equations in divergence form

Jerome Droniou
2006
Preprints, Working Papers, ... hal-00009614v3
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A Posteriori Correction of High-Order Discontinuous Galerkin Scheme through Subcell Finite Volume Formulation and Flux Reconstruction

François Vilar
Journal of Computational Physics, 2019, 387, pp.245-279. ⟨10.1016/j.jcp.2018.10.050⟩
Journal articles hal-01847660v1
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Some results on anisotropic fractional mean curvature flows

Antonin Chambolle , Matteo Novaga , Berardo Ruffini
Interfaces and Free Boundaries, 2017, 19 (3), pp.393-415. ⟨10.4171/IFB/387⟩
Journal articles hal-01291718v1
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An arbitrary-order discontinuous skeletal method for solving electrostatics on general polyhedral meshes

Daniele Antonio Di Pietro , Bernard A Kapidani , Ruben A Specogna , Francesco A Trevisan
IEEE Transactions on Magnetics, 2017, 53 (6), pp.1-4. ⟨10.1109/TMAG.2017.2666546⟩
Journal articles hal-01399505v1
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A Hybrid High-Order method for the convective Cahn–Hilliard problem in mixed form

Florent Chave , Daniele Di Pietro , Fabien A Marche
Cancès Clément; Omnes Pascal. Finite Volumes for Complex Applications VIII, 200, Springer, pp.517-525, 2017, Springer Proceedings in Mathematics & Statistics, 978-3-319-57393-9. ⟨10.1007/978-3-319-57394-6_54⟩
Book sections hal-01477247v2
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A Hybrid High-Order method for multiple-network poroelasticity

Lorenzo Botti , Michele Botti , Daniele Antonio Di Pietro
Polyhedral methods in geosciences, 27, pp.227-258, 2021, SEMA SIMAI Springer Series, ⟨10.1007/978-3-030-69363-3_6⟩
Book sections hal-02461755v2
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A locking-free discontinuous Galerkin method for linear elasticity in locally nearly incompressible heterogeneous media

Daniele Antonio Di Pietro , Serge Nicaise
Applied Numerical Mathematics, 2012, 63, pp.105-116. ⟨10.1016/j.apnum.2012.09.009⟩
Journal articles hal-00685020v1

Méthodes de résolution par sous-domaines et calcul parallèle

Catherine Lacour , Caroline Japhet , Francois-Xavier Roux , D. Kalfon
1996
Other publications hal-00369591v1
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Two different approaches for matching nonconforming grids: the mortar element method and the FETI method.

Catherine Lacour , Yvon Maday
BIT Numerical Mathematics, 1997, 37 (3), pp.720 -- 738. ⟨10.1007/BF02510249⟩
Journal articles hal-00369517v1

A Positive Preserving High Order VFRoe Scheme for Shallow Water Equations: A Class of Relaxation Schemes

Fabien Marche , Christophe Berthon
SIAM Journal on Scientific Computing, 2008, 30 (5), pp. 2587-2612. ⟨10.1137/070686147⟩
Journal articles hal-00370486v1
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A DDR method for the Reissner-Mindlin plate bending problem on polygonal meshes

Daniele Antonio Di Pietro , Jérôme Droniou
2021
Preprints, Working Papers, ... hal-03234088v1
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A robust DG-ALE formulation for nonlinear shallow water interactions with a partially immersed object

Ali Haidar , Fabien Marche , Francois Vilar
2022
Preprints, Working Papers, ... hal-03764650v1
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Hydromorpho: A coupled model for unsteady Stokes/Exner equations and numerical results with Feel++ library

Nora Aissiouene , Tarik Amtout , Matthieu Brachet , Emmanuel Frénod , Romain Hild , et al.
ESAIM: Proceedings and Surveys, 2016, CEMRACS 2015: Coupling multi-physics models involving fluids, 55, pp.23-40. ⟨10.1051/proc/201655023⟩
Journal articles hal-01266223v2

Numerical resolution of well-balanced shallow water equations with complex source terms

Fabien Marche , Qiuhua Liang
Advances in Water Resources, 2009, 32 (6), pp.873))884. ⟨10.1016/j.advwatres.2009.02.010⟩
Journal articles istex hal-00799080v1

Compact finite difference schemes on non-uniform meshes. Application to direct numerical simulations of compressible flows

Laurence Gamet-Payrastre , F. Ducros , Franck Nicoud , Thierry Poinsot
International Journal for Numerical Methods in Fluids, 1999, 29 (2), pp.159-191. ⟨10.1002/(SICI)1097-0363(19990130)29:2<159::AID-FLD781>3.0.CO;2-9⟩
Journal articles istex hal-00910370v1

Incorporation of linear multipoint constraints in substructure based iterative solvers - PART I: A numerically scalable algorithm

Catherine Lacour , Charbel Farhat , Daniel J. Rixen
International Journal for Numerical Methods in Engineering, 1998, 43 (6), pp.997--1016. ⟨10.1002/(SICI)1097-0207(19981130)43:6<997::AID-NME455>3.0.CO;2-B⟩
Journal articles istex hal-00369536v1
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Supervised learning of analysis-sparsity priors with automatic differentiation

Hashem Ghanem , Joseph Salmon , Nicolas Keriven , Samuel Vaiter
IEEE Signal Processing Letters, In press, 30 (339-343), ⟨10.1109/LSP.2023.3244511⟩
Journal articles hal-03518852v1
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An exterior calculus framework for polytopal methods

Francesco Bonaldi , Daniele A. Di Pietro , Jérôme Droniou , Kaibo Hu
2023
Preprints, Working Papers, ... hal-04037653v1
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phi-FEM for the heat equation: optimal convergence on unfitted meshes in space

Michel Duprez , Vanessa Lleras , Alexei Lozinski , Killian Vuillemot
2023
Preprints, Working Papers, ... hal-03685445v2
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Stability of finite difference schemes for the hyperbolic initial boundary value problem by winding number computations

Benjamin Boutin , Pierre Le Barbenchon , Nicolas Seguin
2023
Preprints, Working Papers, ... hal-03970775v1