Frontiers in PDE-Constrained Optimization
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Beschreibung
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.
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. Special emphasis is placed on algorithm development and numerical computation. 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.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
Autor*in
Harbir Antil
Themen in »Frontiers in PDE-Constrained Optimization«
PDE Constrained Optimization Optimal Control of PDEs Trust Region Methods Shape Optimization Sparsity in Inverse Problems Sequential Quadratic Programming PDE Constrained Optimization in Oil Industry Optimal Transport and Seismic Imaging partial differential equations
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“I am deeply impressed by the quality of the contributions both from the mathematical and also from the applications side. I highly recommend this book to newcomers in the field and also to experts who want to broaden their expertise in other directions.” (Ekkehard Sachs, SIAM Review, Vol. 61 (4), December, 2019)
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