Scientific Computing in Electrical Engineering (Mathematics in Industry The European Consortium for Mathematics in Industry)

Cover
......Page 1
Scientific Computing inElectrical Engineering......Page 3
Preface......Page 5
Contents......Page 9
List of Contributors......Page 14
Part I Coupled Problems......Page 22
2 State-space representation......Page 23
3 Gramian based methods......Page 25
4 Krylov based methods......Page 30
5 Comparison of all methods: performance......Page 34
6 Comparison of all methods: plots......Page 37
7OptimalH2 results: errors, convergence and initial shifts......Page 41
8 Conclusion and further research......Page 43
References......Page 44
1 Introduction......Page 45
2 Discrete Magnetoquasistatic Formulation......Page 46
3 Conductor Models......Page 47
4 Field-Circuit Coupling......Page 52
5 Time Integration......Page 53
6 Examples......Page 55
7 Conclusions......Page 56
References......Page 58
1 Introduction......Page 60
2 Coupled Problems: general case studies......Page 61
3 Silicon Oxidation study......Page 62
4 Transport in NanoWire mosfets study......Page 65
References......Page 72
1 Background of atmosphere investigation by LIDAR......Page 74
2 Methodology......Page 76
3 Results......Page 78
References......Page 80
1 Introduction......Page 81
2 The CoMSON Demonstrator Platform......Page 82
3 Two algorithms for coupled circuit-device simulation......Page 84
4 An Application Example......Page 87
Acknowledgment......Page 88
References......Page 89
1 Introduction......Page 90
2 The axial Magnetic Field Action......Page 91
3 Transverse and Radial Magnetic Field Action......Page 92
4 Conclusions......Page 95
References......Page 96
1 Introduction......Page 97
3 Objectives......Page 98
4 Advance over state of the art......Page 99
7 CODESTAR project results......Page 100
9 Conclusions......Page 102
References......Page 103
1 Introduction......Page 104
2 Review of wave propagation and FE modelling......Page 105
3 Emission of ultrasonic waves......Page 107
5 Global results and comparison with experiment......Page 109
6 Conclusions......Page 110
References......Page 111
1 Introduction......Page 112
2 Methods......Page 114
3 Results......Page 118
References......Page 120
1 Introduction......Page 121
2 Symmetrical Structures Modelling......Page 122
3 Conclusion......Page 127
References......Page 128
2 Floquet harmonics......Page 129
3 The scattering from a conducting strip grating electric eld integral equation approach......Page 131
5 Computing the Transversal Magnetic (TM) scattered eld......Page 133
6 Scattering matrix analysis of cascaded periodic surface......Page 134
7 Conclusions......Page 137
References......Page 138
Part II Circuit Simulation and Design......Page 139
2 Transistor models......Page 140
4 Model-order reduction for EM/circuit simulation......Page 141
5 Behavioral modeling of components and circuit blocks......Page 144
References......Page 148
1 Introduction......Page 151
2 Massively Coupled Systems......Page 153
3 Parametrized System Descriptions......Page 159
4 Conclusions......Page 162
References......Page 163
2 Passivity, Energy Functions and Positive Realness......Page 165
3 Linear Systems Case......Page 166
4 Nonlinear Systems Case......Page 167
6 Model Reduction Truncation......Page 169
References......Page 171
2 Arti cial neural networks......Page 172
4 Experimental setup......Page 173
5 Analysis of results......Page 174
6 Conclusions......Page 175
Acknowledgment......Page 176
References......Page 177
2 Trajectory Piecewise Linear Model Order Reduction......Page 178
3 Example......Page 182
References......Page 184
1 Introduction......Page 185
2 Block Arnoldi Algorithms......Page 186
3 Implementation and Case Studies......Page 189
5 Conclusion......Page 190
References......Page 192
1 Introduction......Page 193
2 Transient sensitivity analysis......Page 194
3 Results......Page 197
4 Conclusions......Page 198
References......Page 199
1 Introduction......Page 200
2 Element replacement......Page 201
3 Numerical Example......Page 203
4 Conclusions......Page 205
References......Page 206
2 NUFFT algorithm......Page 207
3 2D NUFFT algorithm......Page 208
4 Incorporating the 2D NUFFT into the SDA......Page 209
5 Results......Page 211
6 Conclusions......Page 212
References......Page 213
2 Mathematical description of a time-continuous lter......Page 215
3 Multicriteria optimization in lter transfer function design......Page 216
4 Genetic algorithm for multicriteria optimization......Page 217
5 A design example......Page 218
References......Page 220
2 Basic Concept of Thermal Networks......Page 221
3 Hierarchical Approach......Page 223
4 Modeling of ventilation......Page 224
5 Example......Page 225
6 Conclusion......Page 226
References......Page 227
1 Modular Modelling......Page 228
2 Multirate Methods......Page 230
3 Hierarchical mixed multirate......Page 233
References......Page 234
1 Introduction......Page 236
2 Multirate transient algorithm......Page 237
3 Automatic partitioning......Page 238
4 Numerical experiments......Page 241
References......Page 242
1 Introduction......Page 244
2 Multidimensional Model......Page 245
3 Houben’s Method......Page 246
4 Illustrative Example......Page 247
References......Page 250
Part III Computational Electromagnetics......Page 251
1 A Short Historical Review......Page 252
2 The Finite Integration Technique......Page 253
3 State of the Art......Page 255
4 New Domains of Application and Future Trends......Page 262
References......Page 264
1 Introduction......Page 266
2 Energy ow diagram......Page 267
3 Conservation equations......Page 268
4 Convex analysis......Page 269
5 Applications......Page 270
References......Page 278
2 Finite Integration Technique......Page 279
3 Newton Method......Page 281
4 Numerical Examples......Page 282
5 Conclusions......Page 283
References......Page 284
2 Electromagnetic Model......Page 285
3 Mechanical Model......Page 287
4 Examples......Page 288
5 Conclusions......Page 289
References......Page 290
1 Introduction......Page 291
2 The Numerical Method......Page 292
3 Validation of results CODESTAR benchmarks......Page 296
References......Page 298
1 Introduction......Page 299
2 Numerical Examples......Page 300
3 EPC of coupled windings......Page 301
4 Conclusions......Page 303
References......Page 304
1 Introduction......Page 305
2 Coupled Electric Field Integral Equations for homogeneous dielectric bodies......Page 306
3 Results......Page 308
4 Conclusions......Page 310
References......Page 312
1 Introduction......Page 313
2 Domain Decomposition for Electro-Quasistatic Fields......Page 314
3 Symmetric FEM-BEM Coupling......Page 315
4 Solution of the ODE System......Page 316
5 Numerical Results......Page 317
6 Conclusion......Page 318
References......Page 319
1 Introduction......Page 320
2 Computational Errors Generated by Experimental Data......Page 321
3 Numerical Errors......Page 322
5 Conclusions......Page 323
References......Page 325
Part IV Mathematical and Computational Methods......Page 326
2 Fine and coarse models in optimization......Page 327
3 Primal and dual space-mapping solutions......Page 328
4 Defect correction iteration......Page 329
5 Manifold Mapping, the improved space mapping algorithm......Page 330
References......Page 332
2 Elitist Multi-Objective Optimal Design......Page 333
3 The MOOP Integrated Software Package......Page 334
4 Numerical Example......Page 335
5 Conclusions......Page 338
References......Page 339
1 Introduction......Page 340
3 MultiDIRECT optimization Algorithm......Page 341
4 Simulation Flow and Results......Page 344
Acknowledgment......Page 346
References......Page 347
1 Introduction......Page 348
2 The optimal design problem and the analytical setting......Page 349
3 The Karush Kuhn Tucker conditions......Page 350
4 A Fast Optimization Algorithm and Numerical Optimal Designs......Page 353
Acknowledgments. The author would like to thank prof. R. Pinnau and A. M. Anile......Page 354
References......Page 355
1 Introduction......Page 357
2 The electron transport in Si, the semiclassical Boltzmann equation......Page 358
3 Moment equations and maximum entropy principle......Page 359
6 Production terms......Page 361
7 Application to bulk Silicon......Page 362
References......Page 363
2 Delaunay Re nement......Page 364
3 Delaunay Tetrahedrization......Page 365
4 Geometric Predicates......Page 366
7 Encroached Elements......Page 367
10 Point-location......Page 368
References......Page 369
1 Introduction......Page 370
2 Coupled FETI/BETI Methods......Page 371
4 Unbounded domains......Page 374
Acknowledgments......Page 375
References......Page 376
1 Introduction......Page 377
2 Discretisation and solver......Page 378
3 The hierarchical preconditioner......Page 380
4 Numerical example......Page 381
References......Page 383
1 Introduction......Page 384
2 Efficient Solvers for Band Linear Systems......Page 385
3 Experimental Results......Page 387
4 Conclusions......Page 388
References......Page 390
1 Introduction......Page 391
2 De nition of the Problem......Page 392
3 Numerical Examples......Page 394
References......Page 397
1 Transient noise analysis in circuit simulation......Page 399
2 Adaptive numerical methods......Page 400
3 Numerical results......Page 402
References......Page 405
1 Introduction......Page 407
2 Master-Worker execution model for a set of loosely coupled tasks......Page 408
4 Experimental results and conclusions......Page 409
References......Page 411
Colour Figures......Page 413
Comparison of model reduction methods with applications to circuit simulation......Page 414
Transient Field-Circuit Coupled Models with Switching Elements for the Simulation of Electric Energy Transducers......Page 419
Technology and Device Modeling in Micro and Nano-electronics: Current and Future Challenges......Page 421
Accurate Modeling of Complete Functional RF Blocks: CHAMELEON RF......Page 426
Finite Volume Method Applied To Symmetrical Structures in Coupled Problems......Page 429
Scattering Matrix Analysis of Cascaded Periodic Surfaces......Page 430
Outstanding Issues in Model Order Reduction......Page 431
Index Reduction by Element-Replacement for Electrical Circuits......Page 432
Thermal Network Method in the Design of Power Equipment......Page 434
Automatic partitioning for multirate methods......Page 436
Newton and Approximate Newton Methods in Combination with the Orthogonal Finite Integration Technique......Page 437
Transient Simulation of a Linear Actuator Discretized by the Finite Integration Technique......Page 438
Techniques to Reduce the Equivalent Parallel Capacitance for EMI Filters Integration......Page 440
Symmetric Coupling of the Finite-Element and the BoundaryElement Method for Electro-Quasistatic Field Simulations......Page 443
Computational Errors in Hysteresis Preisach Modelling......Page 444
Manifold Mapping for Multilevel Optimization......Page 446
Software Package for Multi-Objective Optimal Design of Electromagnetic Devices......Page 447
Optimal Design of Monolithic ESBT Device carried out by Multiobjective Optimization......Page 448
On Fast Optimal Control for Energy-Transport-based Semiconductor Design......Page 451
On the Implementation of a Delaunay-based 3-dimensional Mesh Generator......Page 452
Solution of Band Linear Systems in Model Reduction for VSLI Circuits......Page 453
MOESP Algorithm for Converting One-dimensional Maxwell Equation into a Linear System......Page 454
Adaptive Methods for Transient Noise Analysis......Page 456
Index......Page 458