Springer Proceedings in Mathematics & Statistics

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

FVCA 7, Berlin, June 2014

Editors: Fuhrmann, Jürgen, Ohlberger, Mario, Rohde, Christian (Eds.)

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  • Due: November 4, 2016
  • ISBN 978-3-319-38288-3
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About this book

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.

Table of contents (47 chapters)

Table of contents (47 chapters)
  • Asymptotic-Preserving Methods for an Anisotropic Model of Electrical Potential in a Tokamak

    Angot, Philippe (et al.)

    Pages 471-478

  • Semi-implicit Second Order Accurate Finite Volume Method for Advection-Diffusion Level Set Equation

    Balažovjech, Martin (et al.)

    Pages 479-487

  • Adaptive Time Discretization and Linearization Based on a Posteriori Estimates for the Richards Equation

    Baron, Vincent (et al.)

    Pages 489-496

  • Monotone Combined Finite Volume-Finite Element Scheme for a Bone Healing Model

    Bessemoulin-Chatard, Marianne (et al.)

    Pages 497-505

  • Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media

    Brenner, Konstantin (et al.)

    Pages 507-515

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-05591-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-3-319-05590-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week).
  • Due: November 4, 2016
  • ISBN 978-3-319-38288-3
  • Free shipping for individuals worldwide
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
Book Subtitle
FVCA 7, Berlin, June 2014
Editors
  • Jürgen Fuhrmann
  • Mario Ohlberger
  • Christian Rohde
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
78
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-05591-6
DOI
10.1007/978-3-319-05591-6
Hardcover ISBN
978-3-319-05590-9
Softcover ISBN
978-3-319-38288-3
Series ISSN
2194-1009
Edition Number
1
Number of Pages
XVIII, 518
Number of Illustrations
83 b/w illustrations, 80 illustrations in colour
Topics