Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Shape Optimization, Homogenization and Optimal Control

DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017

  • Book
  • © 2018

Overview

Editors:
  1. Volker Schulz

    1. FB IV Abt. Mathematik, Universität Trier, Trier, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Diaraf Seck

    1. Département de Mathématiques de la, Université Cheikh Anta Diop de Daka, Dakar-Fann, Senegal

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Provides novel developments
  • Scope is from mathematical foundations to numerical solution methods as well as specific applications
  • Contributions were selected from a joint DFG-AIMS workshop

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 169)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (13 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Homogenization in Magnetic-Shape-Memory Polymer Composites

    • Sergio Conti, Martin Lenz, Matthäus Pawelczyk, Martin Rumpf
    Pages 1-17

  3. Homogenization of Stochastic Parabolic Equations in Varying Domains

    • Mogtaba A. Y. Mohammed, Mamadou Sango
    Pages 19-40

  4. Two-Scale Convergence: Obviousness of the Choice of Test Functions? Not Always

    • Hubert Nnang
    Pages 41-55

  5. Corrector Problem and Homogenization of Nonlinear Elliptic Monotone PDE

    • Jean Louis Woukeng
    Pages 57-73

  6. Instantaneous Optimal Control of Friction Dominated Flow in a Gas-Network

    • Günter Leugering, Gisèle Mophou
    Pages 75-88

  7. Multilevel Iterations for the Combined Moving Horizon Estimation and Nonlinear Model Predictive Control for PDE Models

    • Ekaterina Kostina, Gregor Kriwet
    Pages 89-112

  8. Some Recent Developments in Optimal Control of Multiphase Flows

    • Michael Hintermüller, Tobias Keil
    Pages 113-142

  9. Localized Model Reduction in PDE Constrained Optimization

    • Mario Ohlberger, Michael Schaefer, Felix Schindler
    Pages 143-163

  10. Numerical Simulation for a Dimensionless Coupled System of Shallow Water Equation with Long Term Dynamic of Sand Dunes Equation

    • Mouhamadou A. M. T. Baldé, Diaraf Seck
    Pages 165-190

  11. Coupling the Navier-Stokes Equations with a Short Term Dynamic of Sand Dunes

    • Ibrahima Faye, Mariama Ndiaye, Diaraf Seck
    Pages 191-211

  12. Branching Structures in Elastic Shape Optimization

    • Nora Lüthen, Martin Rumpf, Sascha Tölkes, Orestis Vantzos
    Pages 213-225

  13. Shape and Topological Derivatives via One Sided Differentiation of the Minimax of Lagrangian Functionals

    • Michel C. Delfour
    Pages 227-257

  14. On Optimization Transfer Operators in Shape Spaces

    • Volker H. Schulz, Kathrin Welker
    Pages 259-275
Back to top

Keywords

About this book

The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally. Seeds for collaboration can be found in the first four papers in the field of homogenization. Modelling and optimal control in partial differential equations is the topic of the next six papers, again mixed from Africa and Germany. Finally, new results in the field of shape optimization are discussed in the final international three papers.



This workshop, held at the AIMS Center Senegal, March 13-16, 2017,  has been supported by the Deutsche Forschungsgemeinschaft (DFG) and by the African Institute for Mathematical Sciences (AIMS) in Senegal, which is one of six centres of a pan-African network of centres of excellence for postgraduate education, research and outreach in mathematical sciences.




Editors and Affiliations

  • FB IV Abt. Mathematik, Universität Trier, Trier, Germany

    Volker Schulz

  • Département de Mathématiques de la, Université Cheikh Anta Diop de Daka, Dakar-Fann, Senegal

    Diaraf Seck

Bibliographic Information

  • Book Title: Shape Optimization, Homogenization and Optimal Control

  • Book Subtitle: DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017

  • Editors: Volker Schulz, Diaraf Seck

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-90469-6

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG, part of Springer Nature 2018

  • Hardcover ISBN: 978-3-319-90468-9Published: 13 September 2018

  • Softcover ISBN: 978-3-030-08023-5Published: 30 January 2019

  • eBook ISBN: 978-3-319-90469-6Published: 05 September 2018

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: VIII, 275

  • Number of Illustrations: 4 b/w illustrations, 41 illustrations in colour

  • Topics: Optimization, Partial Differential Equations, Ordinary Differential Equations

Publish with us

Policies and ethics

Back to top

Search

Navigation