Meshfree Methods for Partial Differential Equations IV

  • Michael Griebel
  • Marc Alexander Schweitzer
Conference proceedings

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 65)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Philippe Chatelain, Michael Bergdorf, Petros Koumoutsakos
    Pages 35-46
  3. Konstantin Fackeldey, Rolf Krause, Marc Alexander Schweitzer
    Pages 111-119
  4. Wei Hu, Jiun-Shyan Chen
    Pages 121-139
  5. Xesús Nogueira, Luis Cueto-Felgueroso, Ignasi Colominas, Fermín Navarrina, Manuel Casteleiro
    Pages 157-171
  6. Hirohisa Noguchi, Zhiqian Zhang
    Pages 173-188
  7. Maharavo Randrianarivony, Guido Brunnett
    Pages 231-245
  8. Stephan Rosswog, Daniel Price
    Pages 247-275
  9. Daniel C. Simkins Jr., Nathan Collier, Mario Juha, Lisa B. Whitenack
    Pages 301-314
  10. Sudarshan Tiwari, Christian Drumm, Menwer Attarakih, Jörg Kuhnert, Hans-Jörg Bart
    Pages 315-334
  11. Back Matter
    Pages 359-403

About these proceedings


The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the proceedings papers of the Fourth International Workshop on Meshfree Methods held in September 2007 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this very active and exciting area of interdisciplinary research and to present recent advances and results in this field.


3D Computer-Aided Design (CAD) Simulation differential equation element-free Garlekin methods engineering applications finite element method linear optimization mechanics meshfree discretization partial differential equation partial differential equations partition of unity method smoothed particle hydrodynamics stability

Editors and affiliations

  • Michael Griebel
    • 1
  • Marc Alexander Schweitzer
    • 1
  1. 1.Institut für Numerische SimulationUniversität BonnBonnGermany

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