Frontiers in PDE-constrained optimization

✍ Scribed by Antil, Harbir; Kouri, Drew P.; Lacasse, Martin-D.; Ridzal, Denis et al. (eds.)

Publisher: Springer
Year: 2018
Tongue: English
Leaves: 435
Series: IMA volumes in mathematics and its applications 163
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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 Read more...

Abstract:

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 Read more...

✦ Table of Contents

Content: 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 Calibration.

✦ Subjects

Constrained optimization -- Congresses.;Differential equations, Partial -- Congresses.;MATHEMATICS / Applied.;MATHEMATICS / Probability & Statistics / General.;Applied mathematics.;Optimization.;Topology.;Differential calculus & equations.;Constrained optimization.;Differential equations, Partial.;Partial Differential Equations.;Mathematics of Planet Earth.

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