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

William G. Litvinov

ISBN 10: 3764361999 / ISBN 13: 9783764361990

Published by Springer, Basel, Birkhäuser Basel, Birkhäuser Apr 2000, 2000

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 522 pp. Englisch.

Seller Inventory # 9783764361990

Bibliographic Details

• Title: Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics
• Publisher: Springer, Basel, Birkhäuser Basel, Birkhäuser Apr 2000
• Publication Date: 2000
• Language: English
• ISBN 10: 3764361999
• ISBN 13: 9783764361990
• Binding: Buch
• Condition: Neu
• Dimensions: 235W x 188H x 35D millimeters 235 millimeters width by 188 millimeters height by 35 millimeters depth
• Weight: 943 grams

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.