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Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

FVCA 9, Bergen, Norway, June 2020

  • Robert Klöfkorn
  • Eirik Keilegavlen
  • Florin A. Radu
  • Jürgen Fuhrmann
Conference proceedings FVCA 2020

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 323)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Invited Contributions

    1. Front Matter
      Pages 1-1
    2. Alessio Fumagalli, Anna Scotti
      Pages 55-73
    3. Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Hélène Mathis
      Pages 75-90
  3. Theoretical Aspects

    1. Front Matter
      Pages 91-91
    2. T. Gallouët, R. Herbin, J.-C. Latché, Y. Nasseri
      Pages 123-131
    3. Clément Cancès, Claire Chainais Hillairet, Jürgen Fuhrmann, Benoît Gaudeul
      Pages 163-171
    4. Clément Cancès, Benoît Gaudeul
      Pages 183-191
    5. Andrea Natale, Gabriele Todeschi
      Pages 193-201
    6. Jakub W. Both, Jan M. Nordbotten, Florin A. Radu
      Pages 203-211
    7. Clément Cancès, Flore Nabet
      Pages 213-221
    8. Boris Andreianov, Abraham Sylla
      Pages 243-254
    9. Florent Chave, Daniele A. Di Pietro, Simon Lemaire
      Pages 255-263
    10. Sergio Caucao, Tongtong Li, Ivan Yotov
      Pages 325-333
    11. Martin J. Gander, Laurence Halpern, Florence Hubert, Stella Krell
      Pages 365-373
    12. Sabrina Bassetto, Clément Cancès, Guillaume Enchéry, Quang Huy Tran
      Pages 385-393
    13. Michaël Ndjinga, Sédrick Kameni Ngwamou
      Pages 415-423
    14. Guissel Lagnol Dongmo Nguepi, Benjamin Braconnier, Christophe Preux, Quang-Huy Tran, Christophe Berthon
      Pages 445-453
    15. Moussa Ziggaf, Mohamed Boubekeur, Imad kissami, Fayssal Benkhaldoun, Imad El Mahi
      Pages 455-465
    16. Catherine Choquet, Moussa Mory Diédhiou, Houssein Nasser El Dine
      Pages 467-475
    17. Christiane Helzel, David Kerkmann
      Pages 507-515

About these proceedings

Introduction

The proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields. 

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. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods 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.

Keywords

65-06, 65Mxx, 65Nxx, 76xx, 78xx,85-08, 86-08, 92-08 finite volume schemes conservation and balance laws numerical analysis high performance computing incompressible flows drift-diffusion equations entropy methods shallow water equations open source software cut-cell methods fractured porous media

Editors and affiliations

  • Robert Klöfkorn
    • 1
  • Eirik Keilegavlen
    • 2
  • Florin A. Radu
    • 3
  • Jürgen Fuhrmann
    • 4
  1. 1.NORCE Norwegian Research Centre ASBergenNorway
  2. 2.Department of MathematicsUniversity of BergenBergenNorway
  3. 3.Department of MathematicsUniversity of BergenBergenNorway
  4. 4.Weierstrass Institute for Applied Analysis and StochasticsBerlinGermany

Bibliographic information