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Meshfree Methods for Partial Differential Equations VIII

  • Conference proceedings
  • © 2017

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 115)

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Table of contents (11 papers)

  1. Front Matter

    Pages i-viii
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  2. A Two-Level Additive Schwarz Domain Decomposition Preconditioner for a Flat-Top Partition of Unity Method

    • Susanne C. Brenner, Christopher B. Davis, Li-yeng Sung
    Pages 1-16

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

    • Patrick Diehl, Michael Bußler, Dirk Pflüger, Steffen Frey, Thomas Ertl, Filip Sadlo et al.
    Pages 17-34

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

    • Adeleke O. Bankole, Michael Dumbser, Armin Iske, Thomas Rung
    Pages 35-52

  5. A Meshfree Method for the Fractional Advection-Diffusion Equation

    • Yanping Lian, Gregory J. Wagner, Wing Kam Liu
    Pages 53-66

  6. Meshless Multi-Point Flux Approximation

    • Alexander A. Lukyanov, Cornelis Vuik
    Pages 67-84

  7. Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations

    • Donald L. Brown, Dietmar Gallistl, Daniel Peterseim
    Pages 85-115

  8. Error Analysis of Nodal Meshless Methods

    • Robert Schaback
    Pages 117-143

  9. Generalizations of Simple Kriging Methods in Spatial Data Analysis

    • Qi Ye
    Pages 145-166

  10. Evaluation of Local Multiscale Approximation Spaces for Partition of Unity Methods

    • Marc Alexander Schweitzer, Sa Wu
    Pages 167-198

  11. Embedding Enriched Partition of Unity Approximations in Finite Element Simulations

    • Marc Alexander Schweitzer, Albert Ziegenhagel
    Pages 199-208

  12. Building a Numerical Framework to Model Gas-Liquid-Solid Interactions Using Meshfree Interpolation Methods

    • Chu Wang, Lucy T. Zhang
    Pages 209-231

  13. Back Matter

    Pages 233-240
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Keywords

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.

Editors and Affiliations

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

    Michael Griebel, Marc Alexander Schweitzer

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