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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics (Hardcover, 2000 ed.)
Loot Price: R4,668
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Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics (Hardcover, 2000 ed.)
Series: Operator Theory: Advances and Applications, 119
Expected to ship within 10 - 15 working days
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This book is intended to be both a thorough introduction to
contemporary research in optimization theory for elliptic systems
with its numerous applications and a textbook at the undergraduate
and graduate level for courses in pure or applied mathematics or in
continuum mechanics. Various processes of modern technology and
production are described by el liptic partial differential
equations. Optimization of these processes reduces to op timization
problems for elliptic systems. The numerical solution of such
problems is associated with the solution of the following
questions. 1. The setting of the optimization problem ensuring the
existence of a solution on a set of admissible controls, which is a
subset of some infinite-dimensional vector space. 2. Reduction of
the infinite-dimensional optimization problem to a sequence of
finite-dimensional problems such that the solutions of the
finite-dimensional problems converge, in a sense, to the solution
of the infinite-dimensional problem. 3. Numerical solution of the
finite-dimensional problems."
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