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Lecture Notes in Applied and Computational Mechanics #49: Large-Scale Pde-Constrained Optimization in Applications

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Lecture Notes in Applied and Computational Mechanics #49: Large-Scale Pde-Constrained Optimization in Applications Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This book develops mathematical methods and algorithms that lead to efficient and high performance computational techniques to solve simulation based optimization problems in real-life applications.

Table of Contents

Partial Differential Equations in Mathematical Modeling of Fluid Flow Problems.- PDE-Constrained Optimization Methods.- Part I Applications in Environmental Engineering.- Mathematical Model of Multiphase Flow Through Porous Media.- Parameter Identification Multiphase Flow Through Porous Media.- Part II Applications in Aerodynamics.- Simultaneous Pseudo-time-stepping for PDE-Model Based Optimization Problems.- Aerodynamic Shape Optimization Using Simultaneous Pseudo-Time-Stepping.- Indirect Treatment of State Constraints in Aerodynamic Shape Optimization Using Simultaneous Pseudo-Time-Stepping.- Direct Treatment of State Constraints in Aerodynamic Shape Optimization Using Simultaneous Pseudo-Time-Stepping.- Multigrid One-Shot Pseudo-Time-Stepping Method for Aerodynamic Shape Optimization.- Multigrid One-Shot Pseudo-Time-Stepping Method for State Constrained Aerodynamic Shape Optimization.- One-Shot Pseudo-Time-Stepping Method for Aerodynamic Shape Optimization Using the Navier-Stokes Equations .

Product Details

ISBN:
9783642015014
Author:
Hazra, Subhendu Bikash
Publisher:
Springer
Subject:
Mechanical
Subject:
Computer Science
Subject:
Mathematical Physics
Subject:
Aerodynamic Shape Optimization
Subject:
Aerofoil
Subject:
Computational Fluid Dynamics (CFD)
Subject:
Generalized Gauss-Newton Method
Subject:
Internal Numerical Differential (IND)
Subject:
Multiphase-Flow through Porous Media
Subject:
Multiple-Shooting Method
Subject:
One-Shot Method
Subject:
PDE-constrained optimization
Subject:
Parameter identification
Subject:
Simulation-Based Optimization
Subject:
Simultaneous Pseudo-Time-Stepping
Subject:
Wing
Subject:
Engineering Fluid Dynamics
Subject:
Fluid- and Aerodynamics
Subject:
Computational science and engineering
Subject:
Numerical and Computational Physics
Subject:
Mechanical Engineering-General
Subject:
Engineering - Mechanical
Copyright:
Edition Description:
2010
Series:
Lecture Notes in Applied and Computational Mechanics
Series Volume:
49
Publication Date:
20101223
Binding:
HARDCOVER
Language:
English
Pages:
224
Dimensions:
235 x 155 mm

Related Subjects

» Computers and Internet » Computers Reference » General
» Computers and Internet » Personal Computers » General
» Engineering » Mechanical Engineering » General
» Science and Mathematics » Physics » Math

Lecture Notes in Applied and Computational Mechanics #49: Large-Scale Pde-Constrained Optimization in Applications New Hardcover
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$190.25 In Stock
Product details 224 pages Springer - English 9783642015014 Reviews:
"Synopsis" by , This book develops mathematical methods and algorithms that lead to efficient and high performance computational techniques to solve simulation based optimization problems in real-life applications.
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