Lecture Notes in Computational Science and Engineering

Meshfree Methods for Partial Differential Equations VIII

Editors: Griebel, Michael, Schweitzer, Marc Alexander (Eds.)

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About this book

There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s. The growing interest in these methods is in part due to the fact that they offer extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods have a number of advantageous features that are especially attractive when dealing with multiscale phenomena: A-priori knowledge about the solution’s particular local behavior can easily be introduced into the meshfree approximation space, and coarse scale approximations can be seamlessly refined by adding fine scale information. However, the implementation of meshfree methods and their parallelization also requires special attention, for instance with respect to numerical integration.

About the authors

Table of contents (11 chapters)

  • A Two-Level Additive Schwarz Domain Decomposition Preconditioner for a Flat-Top Partition of Unity Method

    Brenner, Susanne C. (et al.)

    Pages 1-16

  • Extraction of Fragments and Waves After Impact Damage in Particle-Based Simulations

    Diehl, Patrick (et al.)

    Pages 17-34

  • A Meshfree Semi-implicit Smoothed Particle Hydrodynamics Method for Free Surface Flow

    Bankole, Adeleke O. (et al.)

    Pages 35-52

  • A Meshfree Method for the Fractional Advection-Diffusion Equation

    Lian, Yanping (et al.)

    Pages 53-66

  • Meshless Multi-Point Flux Approximation

    Lukyanov, Alexander A. (et al.)

    Pages 67-84

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-51954-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-319-51953-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Meshfree Methods for Partial Differential Equations VIII
Editors
  • Michael Griebel
  • Marc Alexander Schweitzer
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
115
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-51954-8
DOI
10.1007/978-3-319-51954-8
Hardcover ISBN
978-3-319-51953-1
Series ISSN
1439-7358
Edition Number
1
Number of Pages
VIII, 240
Number of Illustrations and Tables
11 b/w illustrations, 58 illustrations in colour
Topics