Frontiers in PDE-Constrained Optimization. 1st ed. 2018

種類:

電子ブック

責任表示:

edited by Harbir Antil, Drew P. Kouri, Martin-D. Lacasse, Denis Ridzal

出版情報:

New York, NY : Springer New York : Imprint: Springer, 2018

著者名:

• Antil, Harbir.
• Kouri, Drew P.
• Lacasse, Martin-D.
• Ridzal, Denis.
• SpringerLink (Online service)

シリーズ名:

The IMA Volumes in Mathematics and its Applications ; 163

ISBN:

9781493986361 [1493986368]    

注記:

Part I: PDE-Constrained Optimization - Tutorials -- A Brief Introduction to PDE Constrained Optimization -- Optimization of PDEs with Uncertain Inputs -- Inexact Trust-Region Methods for PDE-Constrained Optimization -- Numerical Optimization Methods for the Optimal Control of Elliptic Inequalities -- Introduction to PDE-Constrained Optimization in the Oil and Gas Industry -- An Extreme-Scale PDE-Constrained Optimization Problem -- Part II: PDE-Constrained Optimization - Applications -- Energetically Optimal Flapping Wing Motions via Adjoint-Based Optimization and High-Order Discretizations -- Optimization of a Fractional Differential Equation -- Sensitivity-Based Topology and Shape Optimization with Electric Motors -- Distributed Parameter Estimation for the Time-Dependent Radiative Transfer Equation -- On the Use of Optimal Transport Distances for a PDE-Constrained Optimization Problem in Seismic Imaging -- Exploiting Sparsity in Solving PDE-Constrained Inverse Problems: Application to Subsurface Flow Model
This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications. Many science and engineering applications necessitate the solution of optimization problems constrained by physical laws that are described by systems of partial differential equations (PDEs) . As a result, PDE-constrained optimization problems arise in a variety of disciplines including geophysics, earth and climate science, material science, chemical and mechanical engineering, medical imaging and physics. This volume is divided into two parts. The first part provides a comprehensive treatment of PDE-constrained optimization including discussions of problems constrained by PDEs with uncertain inputs and problems constrained by variational inequalities. We place special emphasis on algorithm development and numerical computation. The second part of this volume focuses on the application of PDE-constrained optimization including problems in optimal

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