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  • Book
  • © 2015

New Trends in Shape Optimization

Birkhäuser
  • Plenty of modern problems, also including many open ones
  • State-of-the-art description of research a shape optimization
  • Clearly written, easily accessible contributions
  • Includes supplementary material: sn.pub/extras

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 166)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-viii
  2. On the Minimization of Area Among Chord-Convex Sets

    • Beatrice Acciaio, Aldo Pratelli
    Pages 1-17
  3. Optimization Problems Involving the First Dirichlet Eigenvalue and the Torsional Rigidity

    • Michiel van den Berg, Giuseppe Buttazzo, Bozhidar Velichkov
    Pages 19-41
  4. On a Classical Spectral Optimization Problem in Linear Elasticity

    • Davide Buoso, Pier Domenico Lamberti
    Pages 43-55
  5. An Overview on the Cheeger Problem

    • Gian Paolo Leonardi
    Pages 117-139
  6. Shape- and Topology Optimization for Passive Control of Crack Propagation

    • Günter Leugering, Jan Sokołowski, Antoni Zochowski
    Pages 141-197
  7. Recent Existence Results for Spectral Problems

    • Dario Mazzoleni
    Pages 199-215
  8. Towards a Lagrange–Newton Approach for PDE Constrained Shape Optimization

    • Volker H. Schulz, Martin Siebenborn, Kathrin Welker
    Pages 229-249
  9. Shape Optimization in Electromagnetic Applications

    • Johannes Semmler, Lukas Pflug, Michael Stingl, Günter Leugering
    Pages 251-269

About this book

This volume reflects “New Trends in Shape Optimization” and is based on a workshop of the same name organized at the Friedrich-Alexander University Erlangen-Nürnberg in September 2013. During the workshop senior mathematicians and young scientists alike presented their latest findings. The format of the meeting allowed fruitful discussions on challenging open problems, and triggered a number of new and spontaneous collaborations. As such, the idea was born to produce this book, each chapter of which was written by a workshop participant, often with a collaborator. The content of the individual chapters ranges from survey papers to original articles; some focus on the topics discussed at the Workshop, while others involve arguments outside its scope but which are no less relevant for the field today. As such, the book offers readers a balanced introduction to the emerging field of shape optimization.

Editors and Affiliations

  • Department Mathematik, Universität Erlangen‐Nürnberg, Erlangen, Germany

    Aldo Pratelli

  • Department Mathematik, Universität Erlangen-Nürnberg, Erlangen, Germany

    Günter Leugering

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access