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1 | (6) |
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2 Simulation-Driven Design |
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7 | (8) |
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2.1 Formulation of the Optimization Problem |
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7 | (2) |
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9 | (6) |
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3 Fundamentals of Numerical Optimization |
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15 | (16) |
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15 | (1) |
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3.2 Gradient-Based Optimization Methods |
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16 | (6) |
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17 | (2) |
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3.2.2 Newton and Quasi-Newton Methods |
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19 | (1) |
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3.2.3 Remarks on Constrained Optimization |
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20 | (2) |
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3.3 Derivative-Free Optimization Methods |
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22 | (6) |
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23 | (1) |
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3.3.2 Nelder-Mead Algorithm |
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24 | (1) |
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3.3.3 Metaheuristics and Global Optimization |
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24 | (2) |
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3.3.4 Particle Swarm Optimization |
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26 | (1) |
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3.3.5 Differential Evolution |
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27 | (1) |
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28 | (1) |
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3.4 Summary and Discussion |
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28 | (3) |
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4 Introduction to Surrogate Modeling and Surrogate-Based Optimization |
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31 | (32) |
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4.1 Surrogate-Based Optimization Concept |
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31 | (3) |
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4.2 Surrogate Modeling: Approximation-Based Surrogates |
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34 | (11) |
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4.2.1 Surrogate Modeling Flow |
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35 | (1) |
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4.2.2 Design of Experiments |
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36 | (1) |
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4.2.3 Approximation Techniques |
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37 | (8) |
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4.3 Surrogate Modeling: Physics-Based Surrogates |
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45 | (5) |
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4.4 SBO with Approximation Surrogates |
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50 | (7) |
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4.4.1 Response Surface Methodologies |
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51 | (1) |
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4.4.2 Sequential Approximate Optimization |
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51 | (3) |
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4.4.3 Optimization Using Kriging: Exploration Versus Exploitation |
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54 | (1) |
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4.4.4 Surrogate Management Framework |
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55 | (1) |
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56 | (1) |
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4.5 SBO with Physics-Based Surrogates |
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57 | (6) |
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57 | (3) |
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4.5.2 Approximation Model Management Optimization |
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60 | (3) |
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5 Design Optimization Using Response Correction Techniques |
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63 | (12) |
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5.1 Introduction: Parametric and Non-parametric Response Correction |
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63 | (2) |
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65 | (2) |
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5.3 Low-Fidelity Modeling |
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67 | (8) |
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5.3.1 Principal Properties and Methods |
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67 | (1) |
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5.3.2 Variable-Resolution and Variable-Accuracy Modeling |
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68 | (3) |
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5.3.3 Variable-Fidelity Physics Modeling |
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71 | (3) |
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5.3.4 Practical Issues of Low-Fidelity Model Selection |
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74 | (1) |
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6 Surrogate-Based Optimization Using Parametric Response Correction |
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75 | (24) |
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75 | (9) |
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6.1.1 Output Space Mapping Formulation |
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76 | (1) |
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6.1.2 Output Space Mapping for Microwave Filter Optimization |
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76 | (2) |
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6.1.3 Hydrodynamic Shape Optimization of Axisymmetric Bodies Using OSM |
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78 | (6) |
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6.2 Multi-point Space Mapping |
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84 | (5) |
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6.2.1 Surrogate Model Construction |
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84 | (1) |
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6.2.2 Multi-point SM for Antenna Optimization |
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85 | (3) |
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6.2.3 Multi-point SM for Transonic Airfoil Optimization |
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88 | (1) |
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89 | (5) |
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6.3.1 Surrogate Model Construction |
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90 | (2) |
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6.3.2 Manifold Mapping Optimization of UWB Monopole Antenna |
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92 | (1) |
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6.3.3 Manifold Mapping Optimization of Microstrip Filter |
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93 | (1) |
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6.4 Multi-point Response Correction |
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94 | (4) |
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6.5 Summary and Discussion |
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98 | (1) |
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7 Nonparametric Response Correction Techniques |
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99 | (32) |
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7.1 Adaptive Response Correction |
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99 | (17) |
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100 | (2) |
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7.1.2 Wideband Bandstop Filter Design with ARC |
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102 | (4) |
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7.1.3 Dielectric Resonator Antenna (DRA) Design with ARC |
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106 | (2) |
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7.1.4 Airfoil Shape Optimization with ARC |
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108 | (8) |
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7.2 Adaptive Response Prediction |
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116 | (3) |
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116 | (2) |
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7.2.2 Airfoil Shape Optimization with ARP |
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118 | (1) |
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7.3 Shape-Preserving Response Prediction |
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119 | (8) |
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121 | (1) |
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7.3.2 Optimization with SPRP: Dual-Band Bandpass Filter |
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122 | (1) |
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7.3.3 Optimization with SPRP: Wideband Microstrip Antenna |
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123 | (3) |
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7.3.4 Optimization with SPRP: Airfoil Design |
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126 | (1) |
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7.4 Summary and Discussion |
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127 | (4) |
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8 Expedited Simulation-Driven Optimization Using Adaptively Adjusted Design Specifications |
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131 | (16) |
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8.1 Adaptively Adjusted Design Specifications: Concept and Formulation |
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131 | (3) |
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8.2 AADS for Design Optimization of Microwave Filters |
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134 | (4) |
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8.2.1 Bandpass Microstrip Filter |
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134 | (2) |
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8.2.2 Third-Order Chebyshev Bandpass Filter |
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136 | (2) |
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8.3 AADS for Design Optimization of Antennas |
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138 | (5) |
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8.3.1 Ultra-Wideband Monopole Antenna |
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138 | (2) |
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8.3.2 Planar Yagi Antenna |
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140 | (3) |
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8.4 AADS for Design Optimization of High-Frequency Transition Structures |
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143 | (3) |
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8.5 Summary and Discussion |
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146 | (1) |
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9 Surrogate-Assisted Design Optimization Using Response Features |
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147 | (18) |
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9.1 Optimization Using Response Features |
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147 | (5) |
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9.2 Feature-Based Tuning of Microwave Filters |
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152 | (1) |
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9.3 Feature-Based Optimization of Antennas |
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153 | (4) |
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9.4 Feature-Based Optimization of Photonic Devices |
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157 | (3) |
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9.5 Limitations and Generalizations |
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160 | (3) |
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163 | (2) |
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10 Enhancing Response Correction Techniques by Adjoint Sensitivity |
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165 | (28) |
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10.1 Surrogate-Based Modeling and Optimization with Adjoint Sensitivity |
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165 | (3) |
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10.2 Space Mapping with Adjoints |
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168 | (11) |
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10.2.1 SM Surrogate Modeling and Optimization |
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168 | (2) |
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10.2.2 Design Example: UWB Monopole Antenna |
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170 | (2) |
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10.2.3 Design Example: Dielectric Resonator Filter |
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172 | (2) |
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10.2.4 Design Example: Transonic Airfoils |
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174 | (5) |
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10.3 Manifold Mapping with Adjoints |
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179 | (5) |
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10.3.1 MM Surrogate Modeling and Optimization |
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179 | (2) |
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10.3.2 Design Example: UWB Monopole Antenna |
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181 | (2) |
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10.3.3 Design Example: Third-Order Chebyshev Band-Pass Filter |
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183 | (1) |
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10.4 Shape-Preserving Response Prediction with Adjoints |
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184 | (5) |
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10.4.1 SPRP Surrogate Modeling and Optimization |
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184 | (3) |
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10.4.2 Design Example: UWB Monopole Antenna |
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187 | (1) |
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10.4.3 Design Example: Dielectric Resonator Filter |
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188 | (1) |
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10.5 Summary and Discussion |
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189 | (4) |
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11 Multi-objective Optimization Using Variable-Fidelity Models and Response Correction |
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193 | (18) |
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11.1 Multi-objective Optimization Problem Formulation |
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193 | (1) |
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11.2 Multi-objective Optimization Using Variable-Fidelity Models and Pareto Front Refinement |
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194 | (6) |
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11.2.1 Design Space Reduction |
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195 | (1) |
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11.2.2 Surrogate Model Construction and Initial Pareto Set Determination |
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196 | (1) |
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11.2.3 Pareto Set Refinement |
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196 | (1) |
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11.2.4 Design Optimization Flow |
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197 | (1) |
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11.2.5 Case Study: Optimization of UWB Dipole Antenna |
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197 | (3) |
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11.3 Multi-objective Optimization Using Pareto Front Exploration |
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200 | (5) |
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11.3.1 Design Case Study: Compact Rat-Race Coupler |
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200 | (1) |
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11.3.2 Space Mapping Surrogate |
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201 | (1) |
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11.3.3 Multi-objective Optimization Algorithm |
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202 | (1) |
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203 | (2) |
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11.4 Multi-objective Optimization Using Multipoint Response Correction |
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205 | (5) |
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11.4.1 Optimization Approach |
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205 | (1) |
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206 | (1) |
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207 | (3) |
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210 | (1) |
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12 Physics-Based Surrogate Modeling Using Response Correction |
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211 | (34) |
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12.1 Formulation of the Modeling Problem |
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211 | (1) |
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12.2 Global Modeling Using Multipoint Space Mapping |
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212 | (1) |
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12.3 Mixed Modeling: Space Mapping with a Function Approximation Layer |
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213 | (5) |
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12.3.1 Example: Fourth-Order Ring Resonator Band-Pass Filter |
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214 | (2) |
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12.3.2 Example: Microstrip Band-Pass Filter |
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216 | (2) |
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12.4 Surrogate Modeling Using Multipoint Output Space Mapping |
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218 | (3) |
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218 | (2) |
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12.4.2 Example: Low-Cost Modeling for Robust Design of Transonic Airfoils |
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220 | (1) |
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12.5 Surrogate Modeling with Shape-Preserving Response Prediction |
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221 | (12) |
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222 | (1) |
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223 | (1) |
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224 | (4) |
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12.5.4 Example: Microwave Filler Modeling |
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228 | (2) |
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12.5.5 Example: Fluid Flow Through a Converging-Diverging Nozzle |
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230 | (3) |
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12.6 Feature-Based Modeling for Statistical Design |
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233 | (9) |
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12.6.1 Yield Estimation Using Response Features |
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234 | (5) |
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12.6.2 Tolerance-Aware Design Optimization Using Response Features |
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239 | (3) |
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12.7 Summary and Discussion |
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242 | (3) |
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13 Summary and Discussion |
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245 | (4) |
References |
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249 | |