(Downloads - 0)
For more info about our services contact : help@bestpfe.com
Table of contents
Résumé
References
List of figures
List of tables
1 Introduction
1.1 Uncertainty in SAR calculation
1.1.1 Specific absorption rate (SAR)
1.1.2 Finite Integration Technique (FIT) and SAR calculation in CST .
1.1.3 Uncertainty in modelling
1.2 Probability approach for uncertain quantification
1.2.1 Random variables
1.2.2 Random vectors
1.3 Overview of the methods related to uncertainty quantification
1.3.1 Method of moments
1.3.2 Quadrature method
1.4 Aims and objectives
1.5 Outline of thesis
2 Uncertainty quantification using the Unscented Transformation (UT)
2.1 Introduction
2.2 The Monte Carlo method
2.2.1 Random sampling and stratified sampling
2.2.2 Latin hypercube sampling (LHS)
2.3 Unscented transformation (UT)
2.3.1 The basic idea of UT
2.3.2 The formulation of two-dimensional UT
2.3.3 Higher-order UT
2.4 Results and discussions
2.4.1 Example 1: using second-order UT for UQ with one random variable in the calculation
2.4.2 Example 2: using second-order UT for UQ with two random variables in the calculation
2.4.3 Example 3: using fourth-order UT for UQ with one random variable in the calculation
3 Uncertainty quantification using non-intrusive methods
3.1 Introduction
3.2 Stochastic collocation (SC) method
3.3 Polynomial chaos (PC) expansion
3.3.1 Homogeneous chaos
3.3.2 The generalized polynomial chaos (gPC) method
3.3.3 Using non-intrusive polynomial chaos for UQ
3.3.4 Sensitivity analysis (SA) using PC expansion
3.4 Combined uncertainties
3.5 Results and discussions
3.5.1 Uncertainty quantification using a simple mobile phone model .
3.5.2 Numerical model for SAR calculation
3.5.3 Uncertainty in SAR calculation
3.5.4 Combined uncertainties
3.5.5 Sensitivity analysis in SAR calculation
3.6 Conclusion
4 Intrusive polynomial chaos method for uncertainty quantification
4.1 Introduction
4.2 Stochastic system formulation
4.3 The Finite Difference Time Domain method
4.4 Generalized polynomial chaos in finite difference time domain simulation
4.5 Uncertainty quantification applied to a one dimensional example
4.6 Results and discussions
4.7 Conclusion
5 Conclusions and Future Work
5.1 Conclusions
5.2 Future Work
Appendix A Intrusive gPC expansion in 3D-FDTD 103
A.1 Finite difference time domain in three dimensions
A.2 Generalized polynomial chaos in three-dimension finite-difference timedomain simulation
A.3 The inner products of intrusive polynomial chaos expansion
Appendix B Glossary
References
