Frontiers in PDE-Constrained Optimization

• Corporate Author: SpringerLink (Online service)
• Other Authors: Antil, Harbir (Editor, http://id.loc.gov/vocabulary/relators/edt), Kouri, Drew P. (Editor, http://id.loc.gov/vocabulary/relators/edt), Lacasse, Martin-D (Editor, http://id.loc.gov/vocabulary/relators/edt), Ridzal, Denis (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: The IMA Volumes in Mathematics and its Applications, 163
• Subjects: Partial differential equations.; Mathematics.; Mathematical optimization.; Topology.; Partial Differential Equations.; Mathematics of Planet Earth.; Optimization.

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 describ...

Table of Contents:

• 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.