Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects

FVCA 7, Berlin, June 2014

Springer Proceedings in Mathematics & Statistics Band 77

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Beschreibung


The first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include 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, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Altogether, a rather comprehensive overview is given 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. 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.

Produktdetails

Einband Taschenbuch
Erscheinungsdatum 17.09.2016
Herausgeber Jürgen Fuhrmann, Mario Ohlberger, Christian Rohde
Verlag Springer
Seitenzahl 468
Maße (L/B/H) 23.5/15.5/2.6 cm
Auflage Softcover reprint of the original 1st ed. 2014
Sprache Englisch
ISBN 978-3-319-38287-6

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  • Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects
  • Part I Invited contributions. P. Bochev: Compatible Discretizations for Partial Differential Equations.- F. Bouchu: Finite Volume Methods for Shallow Water Equations, Hyperbolic Equations, Magnetohydrodynamics.- C. Chainais-Hillairet: Finite Volume Methods for Drift-Diffusion Equations.- M. Dumbser: High Order One-Step AMR and ALE Methods for Hyperbolic PDE.- P. Helluy: Compressible Multiphase Flows.- K. Mikula: Finite Volumes in Image Processing and Groundwater Flow.- S. Mishra: Finite Volume Methods for Conservation Laws, Uncertainty Quantification.- Part II Theoretical aspects of Finite Volume Methods.