Inverse Engineering Handbook (Hardcover)

SEQUENTIAL METHODS IN PARAMETER ESTIMATION
James V. Beck, Professor Emeritus, Michigan State University, USA
Abstract
Introduction
Parameter vs. Function Estimation
Common Research Paradigms in Heat Transfer
Sequential Estimation over Experiments for Linear Problems
Ill-Posed Problems: Tikhonov Regularization
Matrix Form of Taylor Series Expansion
Gauss Method of Minimization for Nonlinear Estimation Problems
Confidence Regions
Optimal Experiments
Summary
References
SEQUENTIAL FUNCTION SPECIFICATION METHOD USING FUTURE TIMES FOR FUNCTION ESTIMATION
Keith A. Woodbury, The University of Alabama, USA
Abstract
Nomenclature
Introduction
Linear Problems
Nonlinear Problems
Summary
References
THE ADJOINT METHOD TO COMPUTE THE NUMERICAL SOLUTIONS OF INVERSE PROBLEMS
Yvon Jarny, Ecole Polytechnique de L'Universite de Nantes, France
Introduction
Modelling Equations
Least Squares and Gradient Algorithms
Lagrange Multipliers
The Adjoint Method
The Adjoint Method to Minimize the LS-Criterion with Algebraic Modelling Equations
The Adjoint Method to Minimize the LS-Criterion with Integral Modelling Equation
Adjoint Method to Minimize LS-Criteria with Ordinary Differential Equations as Constraints
Adjoint Method to Minimize LS-Criteria with Partial Differential Equations as Constraints
Conclusion and Summary
References
MOLLIFICATION AND SPACE MARCHING
Diego A. Murio, University of Cincinnati, USA
Mollification In R1
Data Smoothing
Identification of Parameters in 1-D IHCP
Discrete Mollification in R2
References
INVERSE HEAT CONDUCTION USING MONTE CARLO METHOD
A. Haji-Sheikh, University of Texas at Arlington, USA
Introduction
Introduction to Monte Carlo Method
Random Walks in Direct Monte Carlo Simulation
Monte Carlo Method for Inverse Heat Conduction
Conclusion
Nomenclature
References
CORRELATED DATA AND STOCHASTIC PROCESSES
Ashley Emery, University of Washington, USA
Introduction
Correlation and Its Effect on Precision
Least Squares Estimation and Linearization
Determination of
Ergodic and Stationary Processes
Uncertain Parameters
Bayesian Probabilities, Prior Information, and Uncertain Parameters
Conclusions
OPTIMAL EXPERIMENT DESIGN
Aleksey V. Nenarokomov, Moscow State Aviation Institute, Russia
Introduction
Brief Historical Analysis of Background and Survey
Experiment Design Problem Statement
Iterative Method of Optimal Design of Thermosensors Installation and Time of Signals Readings
Experiment Design for Lumped Parameter Systems
Conclusions
References
BOUNDARY ELEMENT TECHNIQUES FOR INVERSE PROBLEMS
Thomas J. Martin, Pratt & Whitney Engine Company and George S. Dulikravich, University of Texas at Arlington, USA
Introduction
Inverse Heat Conduction
Ill-Posed Boundary Conditions in Fluid Flow
Ill-Posed Surface Tractions and Deformations in Elastostatics
Inverse Detection of Sources
Transient Problems
References