Selected from papers presented at the 8th Scientific Computation in Electrical Engineering conference in Toulouse in 2010, the contributions to this volume cover every angle of numerically modelling electronic and electrical systems, including computational electromagnetics, circuit theory and simulation and device modelling.
On computational electromagnetics, the chapters examine cutting-edge material ranging from low-frequency electrical machine modelling problems to issues in high-frequency scattering. Regarding circuit theory and simulation, the book details the most advanced techniques for modelling networks with many thousands of components. Modelling devices at microscopic levels is covered by a number of fundamental mathematical physics papers, while numerous papers on model order reduction help engineers and systems designers to bring their modelling of industrial-scale systems within the reach of present-day computational power. Complementing these more specific papers, the volume also contains a selection of mathematical methods which can be used in any application domain.
Author(s): Timothy A. Davis, E. Palamadai Natarajan (auth.), Bastiaan Michielsen, Jean-René Poirier (eds.)
Series: Mathematics in Industry 16
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2012
Language: English
Pages: 460
Tags: Applications of Mathematics;Numerical and Computational Physics;Appl.Mathematics/Computational Methods of Engineering
Front Matter....Pages i-xv
Front Matter....Pages 1-2
Sparse Matrix Methods for Circuit Simulation Problems....Pages 3-14
Some Remarks on A Priori Error Estimation for ESVDMOR....Pages 15-23
Block Preconditioning Strategies for High Order Finite Element Discretization of the Time-Harmonic Maxwell Equations....Pages 25-33
From Sizing over Design Centering and Pareto Optimization to Tolerance Pareto Optimization of Electronic Circuits....Pages 35-38
Importance Sampling for Determining SRAM Yield and Optimization with Statistical Constraint....Pages 39-47
Effective Numerical Computation of Parameter Dependent Problems....Pages 49-57
Analytical Properties of Circuits with Memristors....Pages 59-67
Scattering Problems in Periodic Media with Local Perturbations....Pages 69-77
Front Matter....Pages 79-80
From Quasi-static to High Frequencies : An Overview of Numerical Simulation at EADS....Pages 81-85
Transient Full Maxwell Computation of Slow Processes....Pages 87-95
A Frequency-Robust Solver for the Time-Harmonic Eddy Current Problem....Pages 97-105
Depolarization of Electromagnetic Waves from Bare Soil Surfaces....Pages 107-115
Two Finite-Element Thin-Sheet Approaches in the Electro-Quasistatic Formulation....Pages 117-125
Mode Selecting Eigensolvers for 3D Computational Models....Pages 127-135
Magnetic Model Refinement via a Coupling of Finite Element Subproblems....Pages 137-141
Substrate Modeling Based on Hierarchical Sparse Circuits....Pages 143-152
A Boundary Conformal DG Approach for Electro-Quasistatics Problems....Pages 153-161
Optimization of the Current Density Distribution in Electrochemical Reactors....Pages 163-172
Streamer Line Modeling....Pages 173-181
A Discontinuous Galerkin Formalism to Solve the Maxwell-Vlasov Equations. Application to High Power Microwave Sources....Pages 183-192
Front Matter....Pages 193-194
Tonti Diagrams and Algebraic Methods for the Solution of Coupled Problems....Pages 195-203
Soliton Collision in Biomembranes and Nerves- A Stability Study....Pages 205-212
Nonlinear Characterization and Simulation of Zinc-Oxide Surge Arresters....Pages 213-221
Behavioural Electro-Thermal Modelling of SiC Merged PiN Schottky Diodes....Pages 223-231
A Convergent Iteration Scheme for Semiconductor/Circuit Coupled Problems....Pages 233-242
Multirate Time Integration of Field/Circuit Coupled Problems by Schur Complements....Pages 243-251
Front Matter....Pages 253-255
Advances in Parallel Transistor-Level Circuit Simulation....Pages 257-265
Sensitivity-Based Steady-State Mismatch Analysis for RF Circuits....Pages 267-274
Modelling and Simulation of Forced Oscillators with Random Periods....Pages 275-283
Initialization of HB Oscillator Analysis from Transient Data....Pages 285-292
Robust Periodic Steady State Analysis of Autonomous Oscillators Based on Generalized Eigenvalues....Pages 293-302
Mutual Injection Locking of Oscillators under Parasitic Couplings....Pages 303-312
Time Domain Simulation of Power Systems with Different Time Scales....Pages 313-320
Adaptive Wavelet-Based Method for Simulation of Electronic Circuits....Pages 321-328
Modeling and Simulation of Organic Solar Cells....Pages 329-337
Numerical Simulation of a Hydrodynamic Subband Model for Semiconductors Based on the Maximum Entropy Principle....Pages 339-346
Inverse Doping Profile of MOSFETs via Geometric Programming....Pages 347-355
Numerical Simulation of Semiconductor Devices by the MEP Energy-Transport Model with Crystal Heating....Pages 357-363
Front Matter....Pages 365-366
Challenges in Model Order Reduction for Industrial Problems....Pages 367-375
On Approximate Reduction of Multi-Port Resistor Networks....Pages 377-385
Front Matter....Pages 365-366
Improving Model-Order Reduction Methods by Singularity Exclusion....Pages 387-394
Partitioning-Based Reduction of Circuits with Mutual Inductances....Pages 395-403
Model Order Reduction of Parameterized Nonlinear Systems by Interpolating Input-Output Behavior....Pages 405-413
On the Selection of Interpolation Points for Rational Krylov Methods....Pages 415-422
Discrete Empirical Interpolation in POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks....Pages 423-431
Model Order Reduction for Complex High-Tech Systems....Pages 433-441
Parametric Model Order Reduction by Neighbouring Subspaces....Pages 443-451
Back Matter....Pages 453-457
