Publications

1. 2026

   1. samurai/ponio: two complementary software libraries for the efficient implementation of adaptive space/time numerical schemes

      Sébastien Dubois, Loïc Gouarin, Alexandre Hoffmann, Josselin Massot, Marc Massot, Pierre Matalon, Laurent Séries

      ReportHAL

2. 2025

   1. High Performance Parallel Solvers for the time-harmonic Maxwell Equations

      Élise Fressart, Sébastien Dubois, Loïc Gouarin, Marc Massot, Michel Nowak, Nicole Spillane

      PreprintarXivOpen version

3. 2024

   1. A new modeling approach of Myxococcus xanthus bacteria using polarity-based reversals

      Hélène Bloch, Vincent Calvez, Benoît Gaudeul, Loïc Gouarin, Aline Lefebvre-Lepot, Tâm Mignot, Michèle Romanos, Jean-Baptiste Saulnier

      ArticleESAIM Proceedings and SurveysOpen version

   2. Fully algebraic domain decomposition preconditioners with adaptive spectral bounds

      Loïc Gouarin, Nicole Spillane

      ArticleETNA - Electronic Transactions on Numerical AnalysisOpen version

4. 2022

   1. Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps?

      Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot

      ArticleComptes Rendus MathématiqueOpen version

   2. High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations

      Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot

      ArticleSMAI Journal of Computational MathematicsOpen version

   3. Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis

      Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot

      ArticleJournal of Computational Physics

   4. Multiresolution-Based Mesh Adaptation and Error Control for Lattice Boltzmann Methods with Applications to Hyperbolic Conservation Laws

      Thomas Bellotti, Loïc Gouarin, Benjamin Graille, Marc Massot

      ArticleSIAM Journal on Scientific ComputingOpen version

5. 2015

   1. Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions

      Daniel Bennequin, Martin J. Gander, Loïc Gouarin, Laurence Halpern

      ArticleNumerische MathematikOpen version

6. 2013

   1. A smooth extension method

      Benoît Fabrèges, Loïc Gouarin, Bertrand Maury

      ArticleComptes Rendus MathématiqueOpen version

   2. Pourquoi une structuration des mésos-centres en France ?

      Loïc Gouarin, Romaric David, Laurent Séries, O. Politano, Pierre Gay

      Conference paperHAL

7. 2012

   1. Linear lattice Boltzmann schemes for acoustic: Parameter choices and isotropy properties

      Adeline Augier, François Dubois, Loïc Gouarin, Benjamin Graille

      ArticleComputers & Mathematics with ApplicationsOpen version

8. 2010

   1. 3D Direct Simulation of a Nonpremixed Hydrogen Flame with Detailed Models

      Gordon Fru, Dominique Thévenin, C. Zistl, Gábor Janiga, L. Gouarin, A. Laverdant

      ChapterERCOFTAC series

   2. Optimized Schwarz Waveform Relaxation Methods: A Large Scale Numerical Study

      Martin J. Gander, Loïc Gouarin, Laurence Halpern

      ChapterLecture notes in computational science and engineeringOpen version

9. 2007

   1. Interaction of a Gaussian acoustic wave with a turbulent non-premixed flame

      A. Laverdant, L. Gouarin, Dominique Thévenin

      ArticleCombustion Theory and Modelling

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