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

William Litvinov

ISBN 10: 3034895453 / ISBN 13: 9783034895453

Published by Springer, 2012

About this Item

pp. 548.

Seller Inventory # 2697853688

Bibliographic Details

• Title: Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 3034895453
• ISBN 13: 9783034895453
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.