Operator Theory: Advances and Applications

Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics

Authors: Litvinov, William

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About this book

This book is intended to be both a thorough introduction to contemporary research in optimization theory for elliptic systems with its numerous applications and a textbook at the undergraduate and graduate level for courses in pure or applied mathematics or in continuum mechanics. Various processes of modern technology and production are described by el­ liptic partial differential equations. Optimization of these processes reduces to op­ timization problems for elliptic systems. The numerical solution of such problems is associated with the solution of the following questions. 1. The setting of the optimization problem ensuring the existence of a solution on a set of admissible controls, which is a subset of some infinite-dimensional vector space. 2. Reduction of the infinite-dimensional optimization problem to a sequence of finite-dimensional problems such that the solutions of the finite-dimensional problems converge, in a sense, to the solution of the infinite-dimensional problem. 3. Numerical solution of the finite-dimensional problems.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-0348-8387-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-3-7643-6199-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for USA in USD
  • ISBN 978-3-0348-9545-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
119
Copyright
2000
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-8387-0
DOI
10.1007/978-3-0348-8387-0
Hardcover ISBN
978-3-7643-6199-0
Softcover ISBN
978-3-0348-9545-3
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XXII, 522
Topics