Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

FVCA 8, Lille, France, June 2017

  • Clément Cancès
  • Pascal Omnes
Conference proceedings FVCA 2017

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 199)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Invited Papers

  3. Benchmark on Discretization Methods for Viscous Incompressible Flows

    1. Front Matter
      Pages 57-57
    2. Louis Vittoz, Guillaume Oger, Zhe Li, Matthieu de Leffe, David Le Touzé
      Pages 73-89
    3. Daniele A. Di Pietro, Stella Krell
      Pages 91-106
    4. Jérôme Droniou, Robert Eymard
      Pages 107-124
    5. Eric Chénier, Robert Eymard, Raphaèle Herbin
      Pages 125-139
    6. Franck Boyer, Stella Krell, Flore Nabet
      Pages 163-180
    7. P.-E. Angeli, M.-A. Puscas, G. Fauchet, A. Cartalade
      Pages 181-202
  4. Theoretical Aspects of Finite Volumes

    1. Front Matter
      Pages 203-203
    2. Florian De Vuyst
      Pages 235-243
    3. Raphaèle Herbin, Jean-Claude Latché, Khaled Saleh
      Pages 255-263
    4. T. Gallouët, R. Herbin, J.-C. Latché, K. Mallem
      Pages 265-273
    5. Claire Chainais-Hillairet, Benoît Merlet, Antoine Zurek
      Pages 285-292
    6. J. Droniou, R. Eymard
      Pages 311-319
    7. Robert Eymard, Cindy Guichard
      Pages 321-329
    8. Claire Chainais-Hillairet, Benoît Merlet, Alexis F. Vasseur
      Pages 331-339
    9. François Dubois, Isabelle Greff, Charles Pierre
      Pages 341-349
    10. Naveed Ahmed, Alexander Linke, Christian Merdon
      Pages 351-359
    11. J. Droniou, R. Eymard, T. Gallouët, C. Guichard, R. Herbin
      Pages 371-379
    12. M. Bessemoulin-Chatard, C. Chainais-Hillairet, A. Jüngel
      Pages 381-389
    13. Matúš Tibenský, Angela Handlovičová
      Pages 411-419
    14. Clément Cancès, Claire Chainais-Hillairet, Stella Krell
      Pages 439-447
  5. Back Matter
    Pages 475-476

Other volumes

  1. Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects
    FVCA 8, Lille, France, June 2017
  2. FVCA 8, Lille, France, June 2017

About these proceedings


This first volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers comparing advanced numerical methods for Stokes and Navier–Stokes equations on a benchmark, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field.
The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualit
ative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.
The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.


65-06, 65Mxx, 65Nxx, 76xx, 78xx,85-08, 86-08, 92-08 finite volume schemes conservation and balance laws numerical analysis conference proceedings high performance computing incompressible flows numerical modelling numerical simulations

Editors and affiliations

  • Clément Cancès
    • 1
  • Pascal Omnes
    • 2
  1. 1.Equipe RAPSODIInria Lille - Nord EuropeVilleneuve-d’AscqFrance
  2. 2.Commissariat à l'énergie atomique et aux énergies alternativesCentre de SaclayGif-sur-YvetteFrance

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