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Frontiers in PDE-Constrained Optimization (Paperback, Softcover reprint of the original 1st ed. 2018)
Loot Price: R3,224
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Frontiers in PDE-Constrained Optimization (Paperback, Softcover reprint of the original 1st ed. 2018)
Series: The IMA Volumes in Mathematics and its Applications, 163
Expected to ship within 10 - 15 working days
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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 inverse problems 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.
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