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Vladimir Buljak

Inverse Analyses with Model Reduction


Proper Orthogonal Decomposition in Structural Mechanics
2012. 2014. xiv, 206 S. 79 SW-Abb.,. 235 mm
Verlag/Jahr: SPRINGER, BERLIN 2014
ISBN: 3-642-43563-7 (3642435637)
Neue ISBN: 978-3-642-43563-8 (9783642435638)

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Synthesizing topics in mathematical programming with soft computing and proper orthogonal decomposition, this monograph shows with consistency the methods to use and the problems that need tackling in structural analyses. Examples and exercises are included.
In this self-consistent monograph, the author gathers and describes different mathematical techniques and combines all together to form practical procedures for the inverse analyses. It puts together topics coming from mathematical programming, with soft computing and Proper Orthogonal Decomposition, in order to show, in the context of structural analyses, how the things work and what are the main problems one needs to tackle.
Throughout the book a number of examples and exercises are worked out in order to make reader practically familiar with discussed topics.
Inverse analyses.- Optimization algorithms .- Proper Orthogonal Decomposition and Radial Basis Functions for fast simulations .- Modern approach to inverse analyses .- Numerical examples.