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Meshfree Methods for Partial Differential Equations IX

  • Book
  • © 2019

Overview

Editors:
  1. Michael Griebel

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

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    You can also search for this editor in PubMed   Google Scholar

  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

  • Covers topics from applied mathematics, physics and engineering
  • Addresses the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena

Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 129)

Included in the following conference series:

Conference proceedings info: IWMMPDE 2017.

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-viii
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  2. Preconditioned Conjugate Gradient Solvers for the Generalized Finite Element Method

    • Travis B. Fillmore, Varun Gupta, Carlos Armando Duarte
    Pages 1-17

  3. A Fast and Stable Multi-Level Solution Technique for the Method of Fundamental Solutions

    • Csaba Gáspár
    Pages 19-42

  4. Explicit Margin of Safety Assessment of Composite Structure

    • J. H. Gosse, E. J. Sharp
    Pages 43-51

  5. Kernel-Based Reconstructions for Parametric PDEs

    • Rüdiger Kempf, Holger Wendland, Christian Rieger
    Pages 53-71

  6. Fluid Structure Interaction (FSI) in the MESHFREE Finite Pointset Method (FPM): Theory and Applications

    • Jörg Kuhnert, Isabel Michel, Reiner Mack
    Pages 73-92

  7. Parallel Detection of Subsystems in Linear Systems Arising in the MESHFREE Finite Pointset Method

    • Fabian Nick, Hans-Joachim Plum, Jörg Kuhnert
    Pages 93-115

  8. Numerical Study of the RBF-FD Level Set Based Method for Partial Differential Equations on Evolving-in-Time Surfaces

    • Andriy Sokolov, Oleg Davydov, Stefan Turek
    Pages 117-134

  9. A Data-Driven Multiscale Theory for Modeling Damage and Fracture of Composite Materials

    • Modesar Shakoor, Jiaying Gao, Zeliang Liu, Wing Kam Liu
    Pages 135-148

  10. Modeling the Friction Drilling Process Using a Thermo-Mechanical Coupled Smoothed Particle Galerkin Method

    • Cheng-Tang Wu, Youcai Wu, Wei Hu, Xiaofei Pan
    Pages 149-166

  11. Global-Local Enrichments in PUMA

    • Matthias Birner, Marc Alexander Schweitzer
    Pages 167-183

  12. Stable and Efficient Quantum Mechanical Calculations with PUMA on Triclinic Lattices

    • Clelia Albrecht, Constanze Klaar, Marc Alexander Schweitzer
    Pages 185-195

  13. Back Matter

    Pages 197-206
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Keywords

About this book

This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering.


The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. While the fundamental theory of meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the mathematical analysis and practical implementation of meshfree methods remain.


This symposium aims to promote collaboration among engineers, mathematicians, and computer scientists and industrial researchers to address the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena. It continues the2-year-cycled Workshops on Meshfree Methods for Partial Differential Equations.

Editors and Affiliations

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

    Michael Griebel, Marc Alexander Schweitzer

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