© 2017

Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems

FVCA 8, Lille, France, June 2017

  • Clément Cancès
  • Pascal Omnes
  • Offers a comprehensive overview of the state of the art of finite volume applications

  • Covers both theoretical and applied aspects

  • Includes contributions from leading researchers in the field

Conference proceedings FVCA 2017

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 200)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Hyperbolic Problems

    1. Front Matter
      Pages 1-1
    2. David Iampietro, Frédéric Daude, Pascal Galon, Jean-Marc Hérard
      Pages 3-11
    3. Manuel J. Castro, José M. Gallardo, Antonio Marquina
      Pages 23-31
    4. Charles Demay, Christian Bourdarias, Benoît de Laage de Meux, Stéphane Gerbi, Jean-Marc Hérard
      Pages 33-41
    5. Clément Colas, Martin Ferrand, Jean-Marc Hérard, Erwan Le Coupanec, Xavier Martin
      Pages 53-61
    6. Christophe Chalons, Régis Duvigneau, Camilla Fiorini
      Pages 71-79
    7. Jooyoung Hahn, Karol Mikula, Peter Frolkovič, Branislav Basara
      Pages 81-89
    8. Thierry Goudon, Julie Llobell, Sebastian Minjeaud
      Pages 91-99
    9. Christian Bourdarias, Stéphane Gerbi, Ralph Lteif
      Pages 101-108
    10. Hamza Boukili, Jean-Marc Hérard
      Pages 109-117
    11. M. J. Castro, C. Escalante, T. Morales de Luna
      Pages 119-126
    12. Mohamed Boubekeur, Fayssal Benkhaldoun, Mohammed Seaid
      Pages 137-144
    13. Ward Melis, Thomas Rey, Giovanni Samaey
      Pages 145-153
    14. Lei Zhang, Jean-Michel Ghidaglia, Anela Kumbaro
      Pages 155-162

Other volumes

  1. FVCA 8, Lille, France, June 2017
  2. Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
    FVCA 8, Lille, France, June 2017

About these proceedings


This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics.

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 qualitative 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 useful for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations.


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

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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