Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces (MPS-SIAM Series on Optimization)

0 avg rating
( 0 ratings by GoodReads )
 
9781611970685: Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces (MPS-SIAM Series on Optimization)

Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities, and related problems. This book provides a comprehensive presentation of these methods in function spaces, striking a balance between thoroughly developed theory and numerical applications.

Although largely self-contained, the book also covers recent developments in the field, such as state-constrained problems and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including optimal control of semilinear elliptic differential equations, obstacle problems, and flow control of instationary Navier-Stokes fluids.

In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods.

Audience: This book is appropriate for researchers and practitioners in PDE-constrained optimization, nonlinear optimization, and numerical analysis, as well as engineers interested in the current theory and methods for solving variational inequalities. It is also suitable as a text for an advanced graduate-level course in the aforementioned topics or applied functional analysis.

Contents: Notation; Preface; Chapter One: Introduction; Chapter Two: Elements of Finite-Dimensional Nonsmooth Analysis; Chapter Three: Newton Methods for Semismooth Operator Equations; Chapter Four: Smoothing Steps and Regularity Conditions; Chapter Five: Variational Inequalities and Mixed Problems; Chapter Six: Mesh Independence; Chapter Seven: Trust-Region Globalization; Chapter Eight: State-Constrained and Related Problems; Chapter Nine: Several Applications; Chapter Ten: Optimal Control of Incompressible Navier-Stokes Flow; Chapter Eleven: Optimal Control of Compressible Navier-Stokes Flow; Appendix; Bibliography; Index.

"synopsis" may belong to another edition of this title.

Book Description:

A comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field. This book is appropriate for researchers and practitioners in PDE-constrained optimization, nonlinear optimization and numerical analysis, as well as engineers interested in the current theory and methods for solving variational inequalities.

About the Author:

Michael Ulbrich is Professor and Chair of Mathematical Optimization in the Department of Mathematics at the Technische Universitat Munchen. His main research areas include numerical nonlinear optimization and its applications, optimal control with PDEs, and complementarity problems.

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Ulbrich, Michael
Published by Society for Industrial & Applied Mathematics (2011)
ISBN 10: 1611970687 ISBN 13: 9781611970685
New Paperback Quantity Available: 1
Seller
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Society for Industrial & Applied Mathematics, 2011. Paperback. Book Condition: New. book. Bookseller Inventory # 1611970687

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 69.79
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

2.

Ulbrich, Michael
Published by SIAM 1, United States
ISBN 10: 1611970687 ISBN 13: 9781611970685
New Trade Paperback Quantity Available: 1
Seller
Powell's Books
(Portland, OR, U.S.A.)
Rating
[?]

Book Description SIAM 1, United States. Trade Paperback. Book Condition: New. TRADE PAPERBACK Legendary independent bookstore online since 1994. Reliable customer service and no-hassle return policy. Used. Book: NEW, New. Bookseller Inventory # 64978161197068500. Bookseller Inventory # 64978161197068500

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 69.50
Convert Currency

Add to Basket

Shipping: US$ 4.49
Within U.S.A.
Destination, Rates & Speeds

3.

Ulbrich, Michael
Published by Society for Industrial Applied Mathematics,U.S., United States (2011)
ISBN 10: 1611970687 ISBN 13: 9781611970685
New Paperback Quantity Available: 10
Seller
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description Society for Industrial Applied Mathematics,U.S., United States, 2011. Paperback. Book Condition: New. New.. 254 x 178 mm. Language: English . Brand New Book. Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities and related problems. This book provides a comprehensive presentation of these methods in function spaces, choosing a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments such as state-constrained problems and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: * optimal control of nonlinear elliptic differential equations * obstacle problems * flow control of instationary Navier-Stokes fluids In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods. Bookseller Inventory # AAA9781611970685

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 83.28
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

Ulbrich, Michael
Published by Society for Industrial Applied Mathematics,U.S., United States (2011)
ISBN 10: 1611970687 ISBN 13: 9781611970685
New Paperback Quantity Available: 10
Seller
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Society for Industrial Applied Mathematics,U.S., United States, 2011. Paperback. Book Condition: New. New.. 254 x 178 mm. Language: English . Brand New Book. Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities and related problems. This book provides a comprehensive presentation of these methods in function spaces, choosing a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments such as state-constrained problems and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: * optimal control of nonlinear elliptic differential equations * obstacle problems * flow control of instationary Navier-Stokes fluids In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods. Bookseller Inventory # AAA9781611970685

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 86.21
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

Ulbrich, Michael
Published by Society for Industrial & Applied Mathematics,U.S.
ISBN 10: 1611970687 ISBN 13: 9781611970685
New Paperback Quantity Available: 5
Seller
THE SAINT BOOKSTORE
(Southport, United Kingdom)
Rating
[?]

Book Description Society for Industrial & Applied Mathematics,U.S. Paperback. Book Condition: new. BRAND NEW, Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces, Michael Ulbrich, Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities and related problems. This book provides a comprehensive presentation of these methods in function spaces, choosing a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments such as state-constrained problems and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: * optimal control of nonlinear elliptic differential equations * obstacle problems * flow control of instationary Navier-Stokes fluids In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods. Bookseller Inventory # B9781611970685

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 80.12
Convert Currency

Add to Basket

Shipping: US$ 7.43
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Ulbrich, Michael
Published by Society for Industrial & Applied Mathematics (2011)
ISBN 10: 1611970687 ISBN 13: 9781611970685
New Paperback Quantity Available: 1
Seller
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Society for Industrial & Applied Mathematics, 2011. Paperback. Book Condition: New. Bookseller Inventory # DADAX1611970687

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 87.35
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

7.

Ulbrich, Michael
Published by Cambridge University Press (2011)
ISBN 10: 1611970687 ISBN 13: 9781611970685
New Paperback Quantity Available: 1
Seller
Revaluation Books
(Exeter, United Kingdom)
Rating
[?]

Book Description Cambridge University Press, 2011. Paperback. Book Condition: Brand New. 1st edition. 322 pages. 9.75x7.00x0.50 inches. In Stock. Bookseller Inventory # zk1611970687

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 163.06
Convert Currency

Add to Basket

Shipping: US$ 7.51
From United Kingdom to U.S.A.
Destination, Rates & Speeds