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

FVCA 7, Berlin, June 2014

  • Jürgen Fuhrmann
  • Mario Ohlberger
  • Christian Rohde
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 78)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Elliptic and Parabolic Problems

    1. Front Matter
      Pages 469-469
    2. Philippe Angot, Thomas Auphan, Olivier Guès
      Pages 471-478
    3. Martin Balažovjech, Peter Frolkovič, Richard Frolkovič, Karol Mikula
      Pages 479-487
    4. Marianne Bessemoulin-Chatard, Mazen Saad
      Pages 497-505
    5. Konstantin Brenner, Mayya Groza, Cindy Guichard, Roland Masson
      Pages 507-515
    6. Konstantin Brenner, Roland Masson, Laurent Trenty, Yumeng Zhang
      Pages 517-525
    7. Konstantin Brenner, Mayya Groza, Cindy Guichard, Gilles Lebeau, Roland Masson
      Pages 527-535
    8. Konstantin Brenner, Danielle Hilhorst, Huy Cuong Vu Do
      Pages 537-545
    9. Claire Chainais-Hillairet, Pierre-Louis Colin, Ingrid Lacroix-Violet
      Pages 547-555
    10. Robert Eymard, Cindy Guichard, Roland Masson
      Pages 557-565
    11. Miloslav Feistauer, Martin Hadrava, Jaromír Horáček, Adam Kosík
      Pages 567-575
    12. Martin Ferrand, Jacques Fontaine, Ophélie Angelini
      Pages 577-585

About these proceedings

Introduction

The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications. The second volume of the proceedings covers reviewed contributions reporting successful applications in the fields of fluid dynamics, magnetohydrodynamics, 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. Recent decades have brought significant success 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.

Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations.

Keywords

65-06, 65Mxx, 65Nxx, 76xx, 78xx, 85-08, 86-08, 92-08 compatible discretizations convergence analysis finite volume methods numerical methods partial differential equations

Editors and affiliations

  • Jürgen Fuhrmann
    • 1
  • Mario Ohlberger
    • 2
  • Christian Rohde
    • 3
  1. 1.Weierstrass Institute for Applied Analysis and StochasticsBerlinGermany
  2. 2.Institute Comp. Applied MathematicsUniversity of Münster Center for Nonlinear Sciences (CeNoS )MünsterGermany
  3. 3.Inst. Appl. Analysis and Num. SimulationUniversity of StuttgartStuttgartGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-05591-6
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-05590-9
  • Online ISBN 978-3-319-05591-6
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • About this book