عنوان

Frontiers in PDE-constrained optimization /

1493986368

1493986376

1493993496

9781493986361

9781493986378

9781493993499

149398635X

9781493986354

Frontiers in PDE-constrained optimization /

[Book]

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

New York, NY :

Springer,

2018.

1 online resource

The IMA volumes in mathematics and its applications,

volume 163

0940-6573 ;

This volume contains a series of papers based on a workshop "Frontiers in PDE Constrained Optimization" held at the Institute for Mathematics and its Applications from June 6 to 10, 2016.

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.

0

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 control, optimal design and inverse problems, which includes a comprehensive treatment of inverse problems arising in the oil and gas industry, among other topics.

Springer Nature

com.springer.onix.9781493986361

Frontiers in PDE-constrained optimization.

9781493986354

Frontiers in partial differential equation constrained optimization

Constrained optimization, Congresses.

Differential equations, Partial, Congresses.

Applied mathematics.

Constrained optimization.

Differential calculus & equations.

Differential equations, Partial.

MATHEMATICS-- Applied.

MATHEMATICS-- Probability & Statistics-- General.

Optimization.

Topology.

MAT-- 003000

MAT-- 029000

PBKJ

PBKJ

Antil, Harbir

Kouri, Drew P.

Lacasse, Martin-D.

Ridzal, Denis

Workshop "Frontiers in PDE-Constrained Optimization"(2016 :, Minneapolis, Minn.)

20200823034610.0

pn

[Book]

Y