Inverse Analyses with Model Reduction: Proper Orthogonal Decomposition in Structural Mechanics

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Springer Science & Business Media, Nov 8, 2011 - Mathematics - 206 pages
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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.

 

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Contents

Inverse Analysis Introduction
1
Optimization Algorithms
19
Proper Orthogonal Decomposition and Radial Basis Functions for Fast Simulations
85
Inverse Analyses in Structural Problems Putting All the Pieces Together
140
Modern Approach to Inverse Analyses
185
Index
202
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