Large-Scale PDE-Constrained Optimization in Applications

  • Subhendu Bikash Hazra

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 49)

Table of contents

  1. Front Matter
  2. Introduction

    1. Subhendu Bikash Hazra
      Pages 1-4
    2. Subhendu Bikash Hazra
      Pages 19-25
  3. Part I: Applications in Environmental Engineering

    1. Front Matter
      Pages 27-27
  4. Part II: Applications in Aerodynamics

  5. Back Matter

About this book

Introduction

This book results from the authors work done on simulation based optimization problems at the Department of Mathematics, University of Trier, and reported in his postdoctoral thesis (”Habilitationsschrift”) accepted by the Faculty-IV of this University in 2008. The focus of the work has been to develop mathematical methods and algorithms which lead to efficient and high performance computational techniques to solve such optimization problems in real-life applications. Systematic development of the methods and algorithms are presented here. Practical aspects of implementations are discussed at each level as the complexity of the problems increase, supporting with enough number of computational examples. It consists of two parts: first part deals with time dependent optimization problems with applications in environmental engineering and the second part deals with steady state optimization problems, in which the PDEs are solved using semi-iterative or pseudo-time-stepping techniques, with applications in aerodynamics.

This book will be useful for scientists and engineers who are looking for efficient numerical methods for PDE-constrained optimization problems. It will be helpful for graduate and Ph.D. students in applied mathematics, aerospace engineering, mechanical engineering, civil engineering and computational engineering during their training and research. This also will provide exciting research and development areas involving realistic applications.

Keywords

Navier-Stokes equation RSI algorithm algorithms linear optimization mathematical modeling mechanical engineering model modeling numerical methods optimization porous media simulation

Authors and affiliations

  • Subhendu Bikash Hazra
    • 1
  1. 1.FG Strömungsdynamik, FB MaschinenbauTU DarmstadtDarmstadtGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-01502-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-01501-4
  • Online ISBN 978-3-642-01502-1
  • Series Print ISSN 1613-7736
  • Series Online ISSN 1860-0816
  • About this book