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Frontiers in PDE-Constrained Optimization


Frontiers in PDE-Constrained Optimization


The IMA Volumes in Mathematics and its Applications, Band 163

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

106,99 €

Verlag: Springer
Format: PDF
Veröffentl.: 12.10.2018
ISBN/EAN: 9781493986361
Sprache: englisch

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Beschreibungen

<p></p><p>This volume provides a broad and uniform introduction of PDE-constrained optimization&nbsp;as well as to document a number of interesting and challenging applications.&nbsp;Many science and engineering applications necessitate the solution of optimization problems constrained by physical laws that are described&nbsp;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.&nbsp;&nbsp;</p>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. Special emphasis is placed on algorithm development and numerical computation.&nbsp; In addition, a comprehensive treatment of inverseproblems arising in the oil and gas industry is provided. The second part of this volume focuses on the application of PDE-constrained optimization, including problems in optimal control, optimal design, and inverse problems, among other topics.<br><p></p>
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 SubsurfaceFlow Model Calibration.
<p>This volume provides a broad and uniform introduction of PDE-constrained optimization&nbsp;as well as to document a number of interesting and challenging applications.&nbsp;Many science and engineering applications necessitate the solution&nbsp;of optimization problems constrained by physical laws that are described&nbsp;by systems of partial differential equations (PDEs)​. As a result, PDE-constrained&nbsp;optimization problems arise in a variety of disciplines including&nbsp;geophysics, earth and climate science, material science, chemical and&nbsp;mechanical engineering, medical imaging and physics.&nbsp;&nbsp;</p><p>This volume is divided into two parts. The first part provides a comprehensive&nbsp;treatment of PDE-constrained optimization including discussions of problems&nbsp;constrained by PDEs with uncertain inputs and problems constrained by&nbsp;variational inequalities. We place special emphasis on algorithm development&nbsp;and numerical computation.</p><p>The second part of this volume focuses on the application of PDE-constrained&nbsp;optimization including problems in optimal control, optimal design and inverse&nbsp;problems, which includes a comprehensive treatment of inverse problems arising&nbsp;in the oil and gas industry, among other topics.</p><div><br></div>
Provides a comprehensive treatment to inverse problems, in particular, problems arising in the oil and gas industries Includes tutorials targeted towards graduate students and early career researchers who are interested in getting into the field Contains contributions from invited speakers which include the entire spectrum of problems arising in PDE-constrained optimization

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