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Wavelets in Numerical Simulation

Problem Adapted Construction and Applications

  • Karsten Urban

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 22)

Table of contents

  1. Front Matter
    Pages I-XV
  2. Karsten Urban
    Pages 1-81
  3. Karsten Urban
    Pages 83-107
  4. Karsten Urban
    Pages 109-159
  5. Back Matter
    Pages 161-186

About this book

Introduction

This research monograph addresses recent developments of wavelet concepts in the context of large scale numerical simulation. It offers a systematic attempt to exploit the sophistication of wavelets as a numerical tool by adapting wavelet bases to the problem at hand. This includes both the construction of wavelets on fairly general domains and the adaptation of wavelet bases to the particular structure of function spaces governing certain variational problems. Those key features of wavelets that make them a powerful tool in numerical analysis and simulation are clearly pointed out. The particular constructions are guided by the ultimate goal to ensure the key features also for general domains and problem classes. All constructions are illustrated by figures and examples are given.

Keywords

Gebietszerlegung Wavelet-Galerkin Verfahren Wavelet-Galerkin methods construction domain decomposition elastoplasticity numerical analysis simulation turbulent flows turbulente Strömungen

Authors and affiliations

  • Karsten Urban
    • 1
  1. 1.RWTH Aachen Institut für Geometrie und Praktische MathematikAachenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-56002-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-43055-1
  • Online ISBN 978-3-642-56002-6
  • Series Print ISSN 1439-7358
  • Buy this book on publisher's site
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