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Numerical Analysis for Elliptic Optimal Control Problems

By Boris Vexler

Numerical Analysis for Elliptic Optimal Control Problems

By Boris Vexler

0 - Default Title
Description
This book presents a systematic approach to the numerical analysis of several carefully selected classes of optimal control problems governed by elliptic partial differential equations (PDEs). A priori error estimates for the discretization error between the optimal solutions of the continuous and discretized problems are derived, and numerical experiments are included to illustrate the results.
The proofs are presented in a structured and accessible manner, facilitating a clear understanding of the techniques used. The necessary results from functional analysis and elliptic PDE theory are provided in a self-contained way. Essential aspects of finite element theory—including some results newly established by the author(s)—are also covered, with all relevant proofs provided in full detail.
Portions of the material have been successfully used in graduate-level courses and seminars, as well as in Master’s and PhD theses. The book is intended for researchers and graduate students interested in finite element analysis and/or optimal control problems involving PDEs.
Product details
Number of Pages:
600
Release Date:
2025-10-15
Publication Date:
2025-10-15
Publisher:
Springer
Languages:
Original: English
ISBN10:
3031993152
ISBN13:
9783031993152
GPSR Manufacturer Reference:
[email protected]
Weight:
1055 g
Height:
160 cm
Width:
241 cm
Thickness:
38 cm
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