Lecture Notes in Computational Science and Engineering

A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations

Authors: Schweitzer, Marc Alexander

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eBook 51,16 €
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  • ISBN 978-3-642-59325-3
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About this book

The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. Up to now, however, meshfree methods have been in an early experimental stage and were not competitive due to the lack of efficient iterative solvers and numerical quadrature. This volume now presents an efficient parallel implementation of a meshfree method, namely the partition of unity method (PUM). A general numerical integration scheme is presented for the efficient assembly of the stiffness matrix as well as an optimal multilevel solver for the arising linear system. Furthermore, detailed information on the parallel implementation of the method on distributed memory computers is provided and numerical results are presented in two and three space dimensions with linear, higher order and augmented approximation spaces with up to 42 million degrees of freedom.


Table of contents (7 chapters)

  • Introduction

    Schweitzer, Marc Alexander

    Pages 1-11

    Preview Buy Chapter 30,19 €
  • Partition of Unity Method

    Schweitzer, Marc Alexander

    Pages 13-22

    Preview Buy Chapter 30,19 €
  • Treatment of Elliptic Equations

    Schweitzer, Marc Alexander

    Pages 23-49

    Preview Buy Chapter 30,19 €
  • Multilevel Solution of the Resulting Linear System

    Schweitzer, Marc Alexander

    Pages 51-96

    Preview Buy Chapter 30,19 €
  • Tree Partition of Unity Method

    Schweitzer, Marc Alexander

    Pages 97-126

    Preview Buy Chapter 30,19 €

Buy this book

eBook 51,16 €
price for Spain (gross)
  • ISBN 978-3-642-59325-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 62,39 €
price for Spain (gross)
  • ISBN 978-3-540-00351-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations
Authors
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
29
Copyright
2003
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-59325-3
DOI
10.1007/978-3-642-59325-3
Softcover ISBN
978-3-540-00351-9
Series ISSN
1439-7358
Edition Number
1
Number of Pages
VI, 200
Number of Illustrations and Tables
15 b/w illustrations
Topics