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Meshfree Methods for Partial Differential Equations IV

  • Conference proceedings
  • © 2008

Overview

Editors:
  1. Michael Griebel

    1. Institut für Numerische Simulation, Universität Bonn, Bonn, Germany

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  2. Marc Alexander Schweitzer

    1. Institut für Numerische Simulation, Universität Bonn, Bonn, Germany

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    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (19 papers)

  1. Front Matter

    Pages I-VIII
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  2. Circumventing Curse of Dimensionality in the Solution of Highly Multidimensional Models Encountered in Quantum Mechanics Using Meshfree Finite Sums Decomposition

    • Amine Ammar, Francisco Chinesta
    Pages 1-17

  3. A Pressure Correction Approach Coupled with the MLPG Method for the Solution of the Navier-Stokes Equations

    • Rubén Avila, Apolinar Pérez
    Pages 19-33

  4. Large Scale, Multiresolution Flow Simulations Using Remeshed Particle Methods

    • Philippe Chatelain, Michael Bergdorf, Petros Koumoutsakos
    Pages 35-46

  5. On the Stabilization of Stress-Point Integration in the Element Free Galerkin Method

    • Qinglin Duan, Ted Belytschko
    Pages 47-68

  6. The Partition of Unity Meshfree Method for Solving Transport-Reaction Equations on Complex Domains: Implementation and Applications in the Life Sciences

    • Martin Eigel, Erwin George, Markus Kirkilionis
    Pages 69-93

  7. Solving One Dimensional Scalar Conservation Laws by Particle Management

    • Yossi Farjoun, Benjamin Seibold
    Pages 95-109

  8. Stability of Energy Transfer in the Weak Coupling Method

    • Konstantin Fackeldey, Rolf Krause, Marc Alexander Schweitzer
    Pages 111-119

  9. Multiscale Approach for Quantum Systems

    • Wei Hu, Jiun-Shyan Chen
    Pages 121-139

  10. A Meshless Technique Based on Integrated Radial Basis Function Networks for Elliptic Partial Differential Equations

    • N. Mai-Duy, T. Tran-Cong
    Pages 141-155

  11. A Higher-Order Finite Volume Method Using Multiresolution Reproducing Kernels

    • Xesús Nogueira, Luis Cueto-Felgueroso, Ignasi Colominas, Fermín Navarrina, Manuel Casteleiro
    Pages 157-171

  12. Interface Tracking in Meshfree Methods and its Applications

    • Hirohisa Noguchi, Zhiqian Zhang
    Pages 173-188

  13. A’posteriori Error Estimation Based on Higher Order Approximation in the Meshless Finite Difference Method

    • Janusz Orkisz, Slawomir Milewski
    Pages 189-213

  14. Exact Bounds for Linear Outputs of the Convection-Diffusion-Reaction Equation Using Flux-Free Error Estimates

    • Núria Parés, Pedro Díez, Antonio Huerta
    Pages 215-230

  15. Preparation of CAD and Molecular Surfaces for Meshfree Solvers

    • Maharavo Randrianarivony, Guido Brunnett
    Pages 231-245

  16. 3D Meshfree Magnetohydrodynamics

    • Stephan Rosswog, Daniel Price
    Pages 247-275

  17. A Particle-Partition of Unity Method Part VIII: Hierarchical Enrichment

    • Marc Alexander Schweitzer
    Pages 277-299

  18. A Framework For Studying The RKEM Representation of Discrete Point Sets

    • Daniel C. Simkins Jr., Nathan Collier, Mario Juha, Lisa B. Whitenack
    Pages 301-314

  19. Coupling of the CFD and the Droplet Population Balance Equation with the Finite Pointset Method

    • Sudarshan Tiwari, Christian Drumm, Menwer Attarakih, Jörg Kuhnert, Hans-Jörg Bart
    Pages 315-334

  20. Hybrid Methods for Fluid-Structure-Interaction Problems in Aeroelasticity

    • Holger Wendland
    Pages 335-358
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Keywords

About this book

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.

Editors and Affiliations

  • Institut für Numerische Simulation, Universität Bonn, Bonn, Germany

    Michael Griebel, Marc Alexander Schweitzer

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