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Multiscale Problems and Methods in Numerical Simulations

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 9-15, 2001

  • Authors
  • James H. Bramble
  • Albert Cohen
  • Wolfgang Dahmen
  • Editors
  • Claudio Canuto

Part of the Lecture Notes in Mathematics book series (LNM, volume 1825)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. James H. Bramble
    Pages 97-151
  3. Back Matter
    Pages 153-162

About this book

Introduction

This volume aims to disseminate a number of new ideas that have emerged in the last few years in the field of numerical simulation, all bearing the common denominator of the "multiscale" or "multilevel" paradigm. This covers the presence of multiple relevant "scales" in a physical phenomenon; the detection and representation of "structures", localized in space or in frequency, in the solution of a mathematical model; the decomposition of a function into "details" that can be organized and accessed in decreasing order of importance; and the iterative solution of systems of linear algebraic equations using "multilevel" decompositions of finite dimensional spaces.

Keywords

Finite Elements Wavelets adaptive methods best approximation finite element method multigrid methods

Bibliographic information

  • DOI https://doi.org/10.1007/b13466
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-20099-4
  • Online ISBN 978-3-540-39810-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site